diff --git a/python/energy_flow_proper/07_one_bath_systematics/poetry.lock b/python/energy_flow_proper/07_one_bath_systematics/poetry.lock
index 1915f20..6c6bef0 100644
--- a/python/energy_flow_proper/07_one_bath_systematics/poetry.lock
+++ b/python/energy_flow_proper/07_one_bath_systematics/poetry.lock
@@ -1,23 +1,13 @@
 [[package]]
-name = "albumentations"
-version = "1.1.0"
-description = "Fast image augmentation library and easy to use wrapper around other libraries"
+name = "aiosignal"
+version = "1.2.0"
+description = "aiosignal: a list of registered asynchronous callbacks"
 category = "main"
 optional = false
 python-versions = ">=3.6"
 
 [package.dependencies]
-numpy = ">=1.11.1"
-opencv-python-headless = ">=4.1.1"
-PyYAML = "*"
-qudida = ">=0.0.4"
-scikit-image = ">=0.16.1"
-scipy = "*"
-
-[package.extras]
-develop = ["pytest", "imgaug (>=0.4.0)"]
-imgaug = ["imgaug (>=0.4.0)"]
-tests = ["pytest"]
+frozenlist = ">=1.1.0"
 
 [[package]]
 name = "appnope"
@@ -80,14 +70,6 @@ six = "*"
 [package.extras]
 test = ["astroid", "pytest"]
 
-[[package]]
-name = "async-timeout"
-version = "4.0.2"
-description = "Timeout context manager for asyncio programs"
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
 [[package]]
 name = "attrs"
 version = "21.4.0"
@@ -219,14 +201,6 @@ python-versions = "*"
 [package.dependencies]
 pycparser = "*"
 
-[[package]]
-name = "chardet"
-version = "4.0.0"
-description = "Universal encoding detector for Python 2 and 3"
-category = "main"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
-
 [[package]]
 name = "charset-normalizer"
 version = "2.0.12"
@@ -315,31 +289,9 @@ optional = false
 python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
 
 [[package]]
-name = "deprecated"
-version = "1.2.13"
-description = "Python @deprecated decorator to deprecate old python classes, functions or methods."
-category = "main"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
-
-[package.dependencies]
-wrapt = ">=1.10,<2"
-
-[package.extras]
-dev = ["tox", "bump2version (<1)", "sphinx (<2)", "importlib-metadata (<3)", "importlib-resources (<4)", "configparser (<5)", "sphinxcontrib-websupport (<2)", "zipp (<2)", "PyTest (<5)", "PyTest-Cov (<2.6)", "pytest", "pytest-cov"]
-
-[[package]]
-name = "einops"
-version = "0.4.1"
-description = "A new flavour of deep learning operations"
-category = "main"
-optional = false
-python-versions = "*"
-
-[[package]]
-name = "entmax"
-version = "1.0"
-description = "The entmax mapping and its loss, a family of sparse alternatives to softmax."
+name = "distlib"
+version = "0.3.4"
+description = "Distribution utilities"
 category = "main"
 optional = false
 python-versions = "*"
@@ -423,6 +375,14 @@ ufo = ["fs (>=2.2.0,<3)"]
 unicode = ["unicodedata2 (>=14.0.0)"]
 woff = ["zopfli (>=0.1.4)", "brotlicffi (>=0.8.0)", "brotli (>=1.0.1)"]
 
+[[package]]
+name = "frozenlist"
+version = "1.3.0"
+description = "A list-like structure which implements collections.abc.MutableSequence"
+category = "main"
+optional = false
+python-versions = ">=3.7"
+
 [[package]]
 name = "future"
 version = "0.18.2"
@@ -458,7 +418,7 @@ numpy = ">=1.14.5"
 
 [[package]]
 name = "hiro-models"
-version = "1.2.1"
+version = "1.2.2"
 description = "Operators for a general model of two interacting qubits coupled to two baths."
 category = "main"
 optional = false
@@ -477,7 +437,7 @@ qutip = "^4.6.3"
 type = "git"
 url = "git@github.com:vale981/two_qubit_model.git"
 reference = "main"
-resolved_reference = "90afb3b525d0f52e25bda6baa22bdb7f2a0ccdf5"
+resolved_reference = "292e2378453619aae2b7cad79c60f429b278ce08"
 
 [[package]]
 name = "hops"
@@ -555,39 +515,6 @@ category = "main"
 optional = false
 python-versions = ">=3.5"
 
-[[package]]
-name = "imageio"
-version = "2.16.2"
-description = "Library for reading and writing a wide range of image, video, scientific, and volumetric data formats."
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-numpy = ">=1.20.0"
-pillow = ">=8.3.2"
-
-[package.extras]
-build = ["wheel"]
-dev = ["invoke", "pytest", "pytest-cov", "fsspec", "black", "flake8"]
-docs = ["sphinx", "numpydoc", "pydata-sphinx-theme"]
-ffmpeg = ["imageio-ffmpeg", "psutil"]
-fits = ["astropy"]
-full = ["astropy", "black", "flake8", "fsspec", "gdal", "imageio-ffmpeg", "invoke", "itk", "numpydoc", "psutil", "pydata-sphinx-theme", "pytest", "pytest-cov", "sphinx", "tifffile", "wheel"]
-gdal = ["gdal"]
-itk = ["itk"]
-linting = ["black", "flake8"]
-test = ["invoke", "pytest", "pytest-cov", "fsspec"]
-tifffile = ["tifffile"]
-
-[[package]]
-name = "imagesize"
-version = "1.3.0"
-description = "Getting image size from png/jpeg/jpeg2000/gif file"
-category = "main"
-optional = false
-python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
-
 [[package]]
 name = "ipykernel"
 version = "6.13.0"
@@ -703,14 +630,6 @@ MarkupSafe = ">=2.0"
 [package.extras]
 i18n = ["Babel (>=2.7)"]
 
-[[package]]
-name = "joblib"
-version = "1.1.0"
-description = "Lightweight pipelining with Python functions"
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
 [[package]]
 name = "jsonschema"
 version = "4.4.0"
@@ -784,19 +703,22 @@ test = ["pexpect"]
 
 [[package]]
 name = "jupyter-core"
-version = "4.9.2"
+version = "4.10.0"
 description = "Jupyter core package. A base package on which Jupyter projects rely."
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
 pywin32 = {version = ">=1.0", markers = "sys_platform == \"win32\" and platform_python_implementation != \"PyPy\""}
 traitlets = "*"
 
+[package.extras]
+test = ["ipykernel", "pre-commit", "pytest", "pytest-cov", "pytest-timeout"]
+
 [[package]]
 name = "jupyterlab-pygments"
-version = "0.2.1"
+version = "0.2.2"
 description = "Pygments theme using JupyterLab CSS variables"
 category = "main"
 optional = false
@@ -898,21 +820,6 @@ category = "main"
 optional = false
 python-versions = "*"
 
-[[package]]
-name = "munch"
-version = "2.5.0"
-description = "A dot-accessible dictionary (a la JavaScript objects)"
-category = "main"
-optional = false
-python-versions = "*"
-
-[package.dependencies]
-six = "*"
-
-[package.extras]
-testing = ["pytest", "coverage", "astroid (>=1.5.3,<1.6.0)", "pylint (>=1.7.2,<1.8.0)", "astroid (>=2.0)", "pylint (>=2.3.1,<2.4.0)"]
-yaml = ["PyYAML (>=5.1.0)"]
-
 [[package]]
 name = "mypy-extensions"
 version = "0.4.3"
@@ -997,28 +904,13 @@ category = "main"
 optional = false
 python-versions = ">=3.5"
 
-[[package]]
-name = "networkx"
-version = "2.8"
-description = "Python package for creating and manipulating graphs and networks"
-category = "main"
-optional = false
-python-versions = ">=3.8"
-
-[package.extras]
-default = ["numpy (>=1.19)", "scipy (>=1.8)", "matplotlib (>=3.4)", "pandas (>=1.3)"]
-developer = ["pre-commit (>=2.18)", "mypy (>=0.942)"]
-doc = ["sphinx (>=4.5)", "pydata-sphinx-theme (>=0.8.1)", "sphinx-gallery (>=0.10)", "numpydoc (>=1.2)", "pillow (>=9.1)", "nb2plots (>=0.6)", "texext (>=0.6.6)"]
-extra = ["lxml (>=4.6)", "pygraphviz (>=1.9)", "pydot (>=1.4.2)", "sympy (>=1.10)"]
-test = ["pytest (>=7.1)", "pytest-cov (>=3.0)", "codecov (>=2.1)"]
-
 [[package]]
 name = "notebook"
-version = "6.4.10"
+version = "6.4.11"
 description = "A web-based notebook environment for interactive computing"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
 argon2-cffi = "*"
@@ -1040,7 +932,7 @@ traitlets = ">=4.2.1"
 [package.extras]
 docs = ["sphinx", "nbsphinx", "sphinxcontrib-github-alt", "sphinx-rtd-theme", "myst-parser"]
 json-logging = ["json-logging"]
-test = ["pytest", "coverage", "requests", "nbval", "selenium", "pytest-cov", "requests-unixsocket"]
+test = ["pytest", "coverage", "requests", "testpath", "nbval", "selenium", "pytest-cov", "requests-unixsocket"]
 
 [[package]]
 name = "numpy"
@@ -1050,22 +942,6 @@ category = "main"
 optional = false
 python-versions = ">=3.8"
 
-[[package]]
-name = "opencv-python-headless"
-version = "4.5.5.64"
-description = "Wrapper package for OpenCV python bindings."
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
-[package.dependencies]
-numpy = [
-    {version = ">=1.21.2", markers = "python_version >= \"3.10\" or python_version >= \"3.6\" and platform_system == \"Darwin\" and platform_machine == \"arm64\""},
-    {version = ">=1.19.3", markers = "python_version >= \"3.6\" and platform_system == \"Linux\" and platform_machine == \"aarch64\" or python_version >= \"3.9\""},
-    {version = ">=1.14.5", markers = "python_version >= \"3.7\""},
-    {version = ">=1.17.3", markers = "python_version >= \"3.8\""},
-]
-
 [[package]]
 name = "opt-einsum"
 version = "3.3.0"
@@ -1092,27 +968,6 @@ python-versions = ">=3.6"
 [package.dependencies]
 pyparsing = ">=2.0.2,<3.0.5 || >3.0.5"
 
-[[package]]
-name = "pandas"
-version = "1.4.2"
-description = "Powerful data structures for data analysis, time series, and statistics"
-category = "main"
-optional = false
-python-versions = ">=3.8"
-
-[package.dependencies]
-numpy = [
-    {version = ">=1.18.5", markers = "platform_machine != \"aarch64\" and platform_machine != \"arm64\" and python_version < \"3.10\""},
-    {version = ">=1.19.2", markers = "platform_machine == \"aarch64\" and python_version < \"3.10\""},
-    {version = ">=1.20.0", markers = "platform_machine == \"arm64\" and python_version < \"3.10\""},
-    {version = ">=1.21.0", markers = "python_version >= \"3.10\""},
-]
-python-dateutil = ">=2.8.1"
-pytz = ">=2020.1"
-
-[package.extras]
-test = ["hypothesis (>=5.5.3)", "pytest (>=6.0)", "pytest-xdist (>=1.31)"]
-
 [[package]]
 name = "pandocfilters"
 version = "1.5.0"
@@ -1172,50 +1027,17 @@ python-versions = ">=3.7"
 docs = ["olefile", "sphinx (>=2.4)", "sphinx-copybutton", "sphinx-issues (>=3.0.1)", "sphinx-removed-in", "sphinx-rtd-theme (>=1.0)", "sphinxext-opengraph"]
 tests = ["check-manifest", "coverage", "defusedxml", "markdown2", "olefile", "packaging", "pyroma", "pytest", "pytest-cov", "pytest-timeout"]
 
-[[package]]
-name = "pix2tex"
-version = "0.0.9"
-description = "pix2tex: Using a ViT to convert images of equations into LaTeX code."
-category = "main"
-optional = false
-python-versions = "*"
-
-[package.dependencies]
-albumentations = ">=0.5.2"
-chardet = ">=3.0.4"
-einops = ">=0.3.0"
-imagesize = ">=1.2.0"
-munch = ">=2.5.0"
-numpy = ">=1.19.5"
-opencv-python-headless = ">=4.1.1.26"
-pandas = ">=1.0.0"
-Pillow = ">=8.1.0"
-python-Levenshtein = ">=0.12.2"
-PyYAML = ">=5.4.1"
-requests = ">=2.22.0"
-timm = "*"
-tokenizers = "0.9.4"
-torch = ">=1.7.1"
-torchtext = ">=0.6.0"
-torchvision = ">=0.8.1"
-tqdm = ">=4.47.0"
-transformers = "4.2.2"
-x-transformers = "0.15.0"
-
-[package.extras]
-gui = ["pyqt5", "pyqtwebengine", "pynput", "screeninfo"]
-
 [[package]]
 name = "platformdirs"
-version = "2.5.1"
+version = "2.5.2"
 description = "A small Python module for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
-category = "dev"
+category = "main"
 optional = false
 python-versions = ">=3.7"
 
 [package.extras]
-docs = ["Sphinx (>=4)", "furo (>=2021.7.5b38)", "proselint (>=0.10.2)", "sphinx-autodoc-typehints (>=1.12)"]
-test = ["appdirs (==1.4.4)", "pytest (>=6)", "pytest-cov (>=2.7)", "pytest-mock (>=3.6)"]
+docs = ["furo (>=2021.7.5b38)", "proselint (>=0.10.2)", "sphinx-autodoc-typehints (>=1.12)", "sphinx (>=4)"]
+test = ["appdirs (==1.4.4)", "pytest-cov (>=2.7)", "pytest-mock (>=3.6)", "pytest (>=6)"]
 
 [[package]]
 name = "prettytable"
@@ -1353,33 +1175,6 @@ python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,>=2.7"
 [package.dependencies]
 six = ">=1.5"
 
-[[package]]
-name = "python-levenshtein"
-version = "0.12.2"
-description = "Python extension for computing string edit distances and similarities."
-category = "main"
-optional = false
-python-versions = "*"
-
-[[package]]
-name = "pytz"
-version = "2022.1"
-description = "World timezone definitions, modern and historical"
-category = "main"
-optional = false
-python-versions = "*"
-
-[[package]]
-name = "pywavelets"
-version = "1.3.0"
-description = "PyWavelets, wavelet transform module"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-numpy = ">=1.17.3"
-
 [[package]]
 name = "pywin32"
 version = "303"
@@ -1452,20 +1247,6 @@ packaging = "*"
 [package.extras]
 test = ["pytest (>=6.0.0)", "pytest-cov (>=3.0.0)", "pytest-qt"]
 
-[[package]]
-name = "qudida"
-version = "0.0.4"
-description = "QUick and DIrty Domain Adaptation"
-category = "main"
-optional = false
-python-versions = ">=3.5.0"
-
-[package.dependencies]
-numpy = ">=0.18.0"
-opencv-python-headless = ">=4.0.1"
-scikit-learn = ">=0.19.1"
-typing-extensions = "*"
-
 [[package]]
 name = "qutip"
 version = "4.7.0"
@@ -1488,60 +1269,38 @@ tests = ["pytest (>=5.2)", "pytest-rerunfailures"]
 
 [[package]]
 name = "ray"
-version = "1.11.0"
+version = "1.12.0"
 description = "Ray provides a simple, universal API for building distributed applications."
 category = "main"
 optional = false
 python-versions = "*"
 
 [package.dependencies]
+aiosignal = "*"
 attrs = "*"
 click = ">=7.0"
 filelock = "*"
+frozenlist = "*"
 grpcio = ">=1.28.1,<=1.43.0"
 jsonschema = "*"
 msgpack = ">=1.0.0,<2.0.0"
 numpy = {version = ">=1.19.3", markers = "python_version >= \"3.9\""}
 protobuf = ">=3.15.3"
 pyyaml = "*"
-redis = ">=3.5.0"
+requests = "*"
+virtualenv = "*"
 
 [package.extras]
-all = ["prometheus-client (>=0.7.1)", "aiorwlock", "gym (<0.22)", "aiohttp-cors", "urllib3", "pyarrow (>=4.0.1,<7.0.0)", "starlette", "aiosignal", "opentelemetry-api (==1.1.0)", "pandas", "smart-open", "lz4", "colorful", "opentelemetry-exporter-otlp (==1.1.0)", "tabulate", "scipy", "py-spy (>=0.2.0)", "opencensus", "pyyaml", "aioredis (<2)", "scikit-image", "gpustat (>=1.0.0b1)", "fsspec", "fastapi", "kubernetes", "opentelemetry-sdk (==1.1.0)", "matplotlib (!=3.4.3)", "numpy (>=1.19)", "aiohttp (>=3.7)", "frozenlist", "requests", "ray-cpp (==1.11.0)", "tensorboardX (>=1.9)", "dm-tree", "uvicorn (==0.16.0)"]
-cpp = ["ray-cpp (==1.11.0)"]
+all = ["matplotlib (!=3.4.3)", "prometheus-client (>=0.7.1,<0.14.0)", "opentelemetry-exporter-otlp (==1.1.0)", "aiohttp-cors", "aiorwlock", "numpy (>=1.19)", "tensorboardX (>=1.9)", "ray-cpp (==1.12.0)", "scikit-image", "pyarrow (>=4.0.1,<7.0.0)", "fsspec", "lz4", "aiohttp (>=3.7)", "gpustat (>=1.0.0b1)", "urllib3", "requests", "tabulate", "colorful", "kubernetes", "opentelemetry-sdk (==1.1.0)", "dm-tree", "pyyaml", "opencensus", "fastapi", "uvicorn (==0.16.0)", "gym (<0.22)", "pandas", "scipy", "opentelemetry-api (==1.1.0)", "starlette", "py-spy (>=0.2.0)", "smart-open"]
+cpp = ["ray-cpp (==1.12.0)"]
 data = ["pandas", "pyarrow (>=4.0.1,<7.0.0)", "fsspec", "numpy (>=1.19)"]
-default = ["aiohttp (>=3.7)", "aiosignal", "aiohttp-cors", "aioredis (<2)", "colorful", "frozenlist", "py-spy (>=0.2.0)", "requests", "gpustat (>=1.0.0b1)", "opencensus", "prometheus-client (>=0.7.1)", "smart-open"]
+default = ["aiohttp (>=3.7)", "aiohttp-cors", "colorful", "py-spy (>=0.2.0)", "requests", "gpustat (>=1.0.0b1)", "opencensus", "prometheus-client (>=0.7.1,<0.14.0)", "smart-open"]
 k8s = ["kubernetes", "urllib3"]
 observability = ["opentelemetry-api (==1.1.0)", "opentelemetry-sdk (==1.1.0)", "opentelemetry-exporter-otlp (==1.1.0)"]
 rllib = ["pandas", "tabulate", "tensorboardX (>=1.9)", "requests", "dm-tree", "gym (<0.22)", "lz4", "matplotlib (!=3.4.3)", "scikit-image", "pyyaml", "scipy"]
-serve = ["fastapi", "starlette", "prometheus-client (>=0.7.1)", "aiosignal", "py-spy (>=0.2.0)", "aiohttp (>=3.7)", "requests", "frozenlist", "opencensus", "smart-open", "aiorwlock", "aioredis (<2)", "colorful", "gpustat (>=1.0.0b1)", "uvicorn (==0.16.0)", "aiohttp-cors"]
+serve = ["gpustat (>=1.0.0b1)", "smart-open", "fastapi", "opencensus", "prometheus-client (>=0.7.1,<0.14.0)", "uvicorn (==0.16.0)", "aiohttp-cors", "aiorwlock", "colorful", "starlette", "py-spy (>=0.2.0)", "aiohttp (>=3.7)", "requests"]
 tune = ["pandas", "tabulate", "tensorboardX (>=1.9)", "requests"]
 
-[[package]]
-name = "redis"
-version = "4.2.2"
-description = "Python client for Redis database and key-value store"
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
-[package.dependencies]
-async-timeout = ">=4.0.2"
-deprecated = ">=1.2.3"
-packaging = ">=20.4"
-
-[package.extras]
-hiredis = ["hiredis (>=1.0.0)"]
-ocsp = ["cryptography (>=36.0.1)", "pyopenssl (==20.0.1)", "requests (>=2.26.0)"]
-
-[[package]]
-name = "regex"
-version = "2022.3.15"
-description = "Alternative regular expression module, to replace re."
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
 [[package]]
 name = "requests"
 version = "2.27.1"
@@ -1560,65 +1319,6 @@ urllib3 = ">=1.21.1,<1.27"
 socks = ["PySocks (>=1.5.6,!=1.5.7)", "win-inet-pton"]
 use_chardet_on_py3 = ["chardet (>=3.0.2,<5)"]
 
-[[package]]
-name = "sacremoses"
-version = "0.0.49"
-description = "SacreMoses"
-category = "main"
-optional = false
-python-versions = "*"
-
-[package.dependencies]
-click = "*"
-joblib = "*"
-regex = "*"
-six = "*"
-tqdm = "*"
-
-[[package]]
-name = "scikit-image"
-version = "0.19.2"
-description = "Image processing in Python"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-imageio = ">=2.4.1"
-networkx = ">=2.2"
-numpy = ">=1.17.0"
-packaging = ">=20.0"
-pillow = ">=6.1.0,<7.1.0 || >7.1.0,<7.1.1 || >7.1.1,<8.3.0 || >8.3.0"
-PyWavelets = ">=1.1.1"
-scipy = ">=1.4.1"
-tifffile = ">=2019.7.26"
-
-[package.extras]
-data = ["pooch (>=1.3.0)"]
-docs = ["sphinx (>=1.8)", "sphinx-gallery (>=0.10.1)", "numpydoc (>=1.0)", "sphinx-copybutton", "pytest-runner", "scikit-learn", "matplotlib (>=3.3)", "dask[array] (>=0.15.0,!=2.17.0)", "cloudpickle (>=0.2.1)", "pandas (>=0.23.0)", "seaborn (>=0.7.1)", "pooch (>=1.3.0)", "tifffile (>=2020.5.30)", "myst-parser", "ipywidgets", "plotly (>=4.14.0)", "kaleido"]
-optional = ["simpleitk", "astropy (>=3.1.2)", "cloudpickle (>=0.2.1)", "dask[array] (>=1.0.0,!=2.17.0)", "matplotlib (>=3.0.3)", "pooch (>=1.3.0)", "pyamg", "qtpy"]
-test = ["asv", "codecov", "flake8", "matplotlib (>=3.0.3)", "pooch (>=1.3.0)", "pytest (>=5.2.0)", "pytest-cov (>=2.7.0)", "pytest-localserver", "pytest-faulthandler"]
-
-[[package]]
-name = "scikit-learn"
-version = "1.0.2"
-description = "A set of python modules for machine learning and data mining"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-joblib = ">=0.11"
-numpy = ">=1.14.6"
-scipy = ">=1.1.0"
-threadpoolctl = ">=2.0.0"
-
-[package.extras]
-benchmark = ["matplotlib (>=2.2.3)", "pandas (>=0.25.0)", "memory-profiler (>=0.57.0)"]
-docs = ["matplotlib (>=2.2.3)", "scikit-image (>=0.14.5)", "pandas (>=0.25.0)", "seaborn (>=0.9.0)", "memory-profiler (>=0.57.0)", "sphinx (>=4.0.1)", "sphinx-gallery (>=0.7.0)", "numpydoc (>=1.0.0)", "Pillow (>=7.1.2)", "sphinx-prompt (>=1.3.0)", "sphinxext-opengraph (>=0.4.2)"]
-examples = ["matplotlib (>=2.2.3)", "scikit-image (>=0.14.5)", "pandas (>=0.25.0)", "seaborn (>=0.9.0)"]
-tests = ["matplotlib (>=2.2.3)", "scikit-image (>=0.14.5)", "pandas (>=0.25.0)", "pytest (>=5.0.1)", "pytest-cov (>=2.9.0)", "flake8 (>=3.8.2)", "black (>=21.6b0)", "mypy (>=0.770)", "pyamg (>=4.0.0)"]
-
 [[package]]
 name = "scipy"
 version = "1.8.0"
@@ -1669,7 +1369,7 @@ python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*"
 
 [[package]]
 name = "soupsieve"
-version = "2.3.2"
+version = "2.3.2.post1"
 description = "A modern CSS selector implementation for Beautiful Soup."
 category = "main"
 optional = false
@@ -1736,40 +1436,6 @@ tornado = ">=4"
 [package.extras]
 test = ["pytest"]
 
-[[package]]
-name = "threadpoolctl"
-version = "3.1.0"
-description = "threadpoolctl"
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
-[[package]]
-name = "tifffile"
-version = "2022.4.8"
-description = "Read and write TIFF files"
-category = "main"
-optional = false
-python-versions = ">=3.8"
-
-[package.dependencies]
-numpy = ">=1.19.2"
-
-[package.extras]
-all = ["imagecodecs (>=2021.11.20)", "matplotlib (>=3.3)", "lxml"]
-
-[[package]]
-name = "timm"
-version = "0.5.4"
-description = "(Unofficial) PyTorch Image Models"
-category = "main"
-optional = false
-python-versions = ">=3.6"
-
-[package.dependencies]
-torch = ">=1.4"
-torchvision = "*"
-
 [[package]]
 name = "tinycss2"
 version = "1.1.1"
@@ -1785,17 +1451,6 @@ webencodings = ">=0.4"
 doc = ["sphinx", "sphinx-rtd-theme"]
 test = ["pytest", "pytest-cov", "pytest-flake8", "pytest-isort", "coverage"]
 
-[[package]]
-name = "tokenizers"
-version = "0.9.4"
-description = "Fast and Customizable Tokenizers"
-category = "main"
-optional = false
-python-versions = "*"
-
-[package.extras]
-testing = ["pytest"]
-
 [[package]]
 name = "tomli"
 version = "1.2.3"
@@ -1804,49 +1459,6 @@ category = "main"
 optional = false
 python-versions = ">=3.6"
 
-[[package]]
-name = "torch"
-version = "1.11.0"
-description = "Tensors and Dynamic neural networks in Python with strong GPU acceleration"
-category = "main"
-optional = false
-python-versions = ">=3.7.0"
-
-[package.dependencies]
-typing-extensions = "*"
-
-[[package]]
-name = "torchtext"
-version = "0.12.0"
-description = "Text utilities and datasets for PyTorch"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-numpy = "*"
-requests = "*"
-torch = "*"
-tqdm = "*"
-
-[[package]]
-name = "torchvision"
-version = "0.12.0"
-description = "image and video datasets and models for torch deep learning"
-category = "main"
-optional = false
-python-versions = ">=3.7"
-
-[package.dependencies]
-numpy = "*"
-pillow = ">=5.3.0,<8.3.0 || >=8.4.0"
-requests = "*"
-torch = "*"
-typing-extensions = "*"
-
-[package.extras]
-scipy = ["scipy"]
-
 [[package]]
 name = "tornado"
 version = "6.1"
@@ -1883,44 +1495,6 @@ python-versions = ">=3.7"
 [package.extras]
 test = ["pytest"]
 
-[[package]]
-name = "transformers"
-version = "4.2.2"
-description = "State-of-the-art Natural Language Processing for TensorFlow 2.0 and PyTorch"
-category = "main"
-optional = false
-python-versions = ">=3.6.0"
-
-[package.dependencies]
-filelock = "*"
-numpy = "*"
-packaging = "*"
-regex = "!=2019.12.17"
-requests = "*"
-sacremoses = "*"
-tokenizers = "0.9.4"
-tqdm = ">=4.27"
-
-[package.extras]
-all = ["tensorflow (>=2.3)", "onnxconverter-common", "keras2onnx", "torch (>=1.0)", "jax (>=0.2.0)", "jaxlib (==0.1.55)", "flax (>=0.2.2)", "sentencepiece (==0.1.91)", "protobuf", "tokenizers (==0.9.4)"]
-dev = ["tensorflow (>=2.3)", "onnxconverter-common", "keras2onnx", "torch (>=1.0)", "jax (>=0.2.0)", "jaxlib (==0.1.55)", "flax (>=0.2.2)", "sentencepiece (==0.1.91)", "protobuf", "tokenizers (==0.9.4)", "pytest", "pytest-xdist", "timeout-decorator", "parameterized", "psutil", "faiss-cpu", "datasets", "cookiecutter (==1.7.2)", "black (>=20.8b1)", "isort (>=5.5.4)", "flake8 (>=3.8.3)", "fugashi (>=1.0)", "ipadic (>=1.0.0,<2.0)", "unidic-lite (>=1.0.7)", "unidic (>=1.0.2)", "recommonmark", "sphinx (==3.2.1)", "sphinx-markdown-tables", "sphinx-rtd-theme (==0.4.3)", "sphinx-copybutton", "scikit-learn"]
-docs = ["recommonmark", "sphinx (==3.2.1)", "sphinx-markdown-tables", "sphinx-rtd-theme (==0.4.3)", "sphinx-copybutton"]
-flax = ["jax (>=0.2.0)", "jaxlib (==0.1.55)", "flax (>=0.2.2)"]
-ja = ["fugashi (>=1.0)", "ipadic (>=1.0.0,<2.0)", "unidic-lite (>=1.0.7)", "unidic (>=1.0.2)"]
-modelcreation = ["cookiecutter (==1.7.2)"]
-onnxruntime = ["onnxruntime (>=1.4.0)", "onnxruntime-tools (>=1.4.2)"]
-quality = ["black (>=20.8b1)", "isort (>=5.5.4)", "flake8 (>=3.8.3)"]
-retrieval = ["faiss-cpu", "datasets"]
-sentencepiece = ["sentencepiece (==0.1.91)", "protobuf"]
-serving = ["pydantic", "uvicorn", "fastapi", "starlette"]
-sklearn = ["scikit-learn"]
-testing = ["pytest", "pytest-xdist", "timeout-decorator", "parameterized", "psutil", "faiss-cpu", "datasets", "cookiecutter (==1.7.2)"]
-tf = ["tensorflow (>=2.3)", "onnxconverter-common", "keras2onnx"]
-tf-cpu = ["tensorflow-cpu (>=2.3)", "onnxconverter-common", "keras2onnx"]
-tokenizers = ["tokenizers (==0.9.4)"]
-torch = ["torch (>=1.0)"]
-torchhub = ["filelock", "importlib-metadata", "numpy", "packaging", "protobuf", "regex (!=2019.12.17)", "requests", "sacremoses", "sentencepiece (==0.1.91)", "torch (>=1.0)", "tokenizers (==0.9.4)", "tqdm (>=4.27)"]
-
 [[package]]
 name = "typer"
 version = "0.4.1"
@@ -1940,11 +1514,11 @@ test = ["shellingham (>=1.3.0,<2.0.0)", "pytest (>=4.4.0,<5.4.0)", "pytest-cov (
 
 [[package]]
 name = "typing-extensions"
-version = "4.1.1"
-description = "Backported and Experimental Type Hints for Python 3.6+"
-category = "main"
+version = "4.2.0"
+description = "Backported and Experimental Type Hints for Python 3.7+"
+category = "dev"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [[package]]
 name = "uncertainties"
@@ -1976,6 +1550,24 @@ brotli = ["brotlicffi (>=0.8.0)", "brotli (>=1.0.9)", "brotlipy (>=0.6.0)"]
 secure = ["pyOpenSSL (>=0.14)", "cryptography (>=1.3.4)", "idna (>=2.0.0)", "certifi", "ipaddress"]
 socks = ["PySocks (>=1.5.6,!=1.5.7,<2.0)"]
 
+[[package]]
+name = "virtualenv"
+version = "20.14.1"
+description = "Virtual Python Environment builder"
+category = "main"
+optional = false
+python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,>=2.7"
+
+[package.dependencies]
+distlib = ">=0.3.1,<1"
+filelock = ">=3.2,<4"
+platformdirs = ">=2,<3"
+six = ">=1.9.0,<2"
+
+[package.extras]
+docs = ["proselint (>=0.10.2)", "sphinx (>=3)", "sphinx-argparse (>=0.2.5)", "sphinx-rtd-theme (>=0.4.3)", "towncrier (>=21.3)"]
+testing = ["coverage (>=4)", "coverage-enable-subprocess (>=1)", "flaky (>=3)", "pytest (>=4)", "pytest-env (>=0.6.2)", "pytest-freezegun (>=0.4.1)", "pytest-mock (>=2)", "pytest-randomly (>=1)", "pytest-timeout (>=1)", "packaging (>=20.0)"]
+
 [[package]]
 name = "wcwidth"
 version = "0.2.5"
@@ -2003,36 +1595,15 @@ python-versions = "*"
 [package.dependencies]
 notebook = ">=4.4.1"
 
-[[package]]
-name = "wrapt"
-version = "1.14.0"
-description = "Module for decorators, wrappers and monkey patching."
-category = "main"
-optional = false
-python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,>=2.7"
-
-[[package]]
-name = "x-transformers"
-version = "0.15.0"
-description = "X-Transformers - Pytorch"
-category = "main"
-optional = false
-python-versions = "*"
-
-[package.dependencies]
-einops = ">=0.3"
-entmax = "*"
-torch = ">=1.6"
-
 [metadata]
 lock-version = "1.1"
 python-versions = ">=3.9,<3.11"
-content-hash = "ed5c33b506de16654dbf2fed62364bcf67f67630576f6048b87e98f723593c70"
+content-hash = "a5b3a21338348e199692c8e61c50d50eede495e99132d5f9ac7126f75d016146"
 
 [metadata.files]
-albumentations = [
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-    {file = "albumentations-1.1.0.tar.gz", hash = "sha256:60b067b3093908bcc52adb2aa5d44f57ebdbb8ab57a47b0b42f3dc1d3b1ce824"},
+aiosignal = [
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+    {file = "aiosignal-1.2.0.tar.gz", hash = "sha256:78ed67db6c7b7ced4f98e495e572106d5c432a93e1ddd1bf475e1dc05f5b7df2"},
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 appnope = [
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@@ -2072,10 +1643,6 @@ asttokens = [
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     {file = "asttokens-2.0.5.tar.gz", hash = "sha256:9a54c114f02c7a9480d56550932546a3f1fe71d8a02f1bc7ccd0ee3ee35cf4d5"},
 ]
-async-timeout = [
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-    {file = "async_timeout-4.0.2-py3-none-any.whl", hash = "sha256:8ca1e4fcf50d07413d66d1a5e416e42cfdf5851c981d679a09851a6853383b3c"},
-]
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@@ -2157,10 +1724,6 @@ cffi = [
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 ]
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 charset-normalizer = [
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@@ -2213,16 +1776,9 @@ defusedxml = [
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 ]
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 ]
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@@ -2245,6 +1801,67 @@ fonttools = [
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 ]
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diff --git a/python/energy_flow_proper/07_one_bath_systematics/single_qubit_model_experimentation.org b/python/energy_flow_proper/07_one_bath_systematics/single_qubit_model_experimentation.org
index 7c9e95d..14719fb 100644
--- a/python/energy_flow_proper/07_one_bath_systematics/single_qubit_model_experimentation.org
+++ b/python/energy_flow_proper/07_one_bath_systematics/single_qubit_model_experimentation.org
@@ -22,7 +22,7 @@ Init ray and silence stocproc.
 #+end_src
 
 #+RESULTS:
-| node_ip_address | : | 141.30.17.221 | raylet_ip_address | : | 141.30.17.221 | redis_address | : | hline | object_store_address | : | /tmp/ray/session_2022-04-21_16-15-09_598127_25703/sockets/plasma_store | raylet_socket_name | : | /tmp/ray/session_2022-04-21_16-15-09_598127_25703/sockets/raylet | webui_url | : | hline | session_dir | : | /tmp/ray/session_2022-04-21_16-15-09_598127_25703 | metrics_export_port | : | 64861 | gcs_address | : | 141.30.17.221:45866 | address | : | 141.30.17.221:45866 | node_id | : | fbe39e432feebd7f9fcc6bc8fee33c1b97fd050aad1349cfc0bbb757 |
+| node_ip_address | : | 141.30.17.221 | raylet_ip_address | : | 141.30.17.221 | redis_address | : | hline | object_store_address | : | /tmp/ray/session_2022-04-21_16-23-22_125157_28182/sockets/plasma_store | raylet_socket_name | : | /tmp/ray/session_2022-04-21_16-23-22_125157_28182/sockets/raylet | webui_url | : | hline | session_dir | : | /tmp/ray/session_2022-04-21_16-23-22_125157_28182 | metrics_export_port | : | 65168 | gcs_address | : | 141.30.17.221:54526 | address | : | 141.30.17.221:54526 | node_id | : | 806bca127b0340571172a7c98f4bebb739adc17d1aba1100723d6722 |
 
 #+begin_src jupyter-python :results none :tangle scripts/integrate_slip.py
   from hops.util.logging_setup import logging_setup
@@ -43,8 +43,8 @@ We use a logspaced time to resolve the initial slip.
 
 #+RESULTS:
 :RESULTS:
-| <matplotlib.lines.Line2D | at | 0x7f130b64e940> |
-[[file:./.ob-jupyter/752676933111c678082642f6e3e60bb7666a5df0.svg]]
+| <matplotlib.lines.Line2D | at | 0x7f7218506be0> |
+[[file:./.ob-jupyter/fc9b4a3f486432abd1d441383ea3ba30f2594ffb.svg]]
 :END:
 
 * Convergence Woes
@@ -247,8 +247,134 @@ We could try the same with another truncation scheme.
 
 #+RESULTS:
 :RESULTS:
-| <Figure | size | 432x288 | with | 1 | Axes> | <AxesSubplot:xlabel= | $τ$ | ylabel= | $\langle H_\mathrm{I}\rangle$ | > |
-[[file:./.ob-jupyter/4d65797073284e10d6239710532004a5b8ae0fc3.svg]]
+: Loading:   0% 0/400 [00:03<?, ?it/s]
+# [goto error]
+#+begin_example
+  ---------------------------------------------------------------------------
+  KeyboardInterrupt                         Traceback (most recent call last)
+  Input In [10], in <cell line: 1>()
+  ----> 1 plot_interaction_consistency(
+        2       k_models,
+        3       #k_models[-1],
+        4       label_fn=lambda m: fr"k=${m.k_max}$",
+        5       **ensmeble_arg
+        6   )
+
+  File ~/Documents/Projects/UNI/master/masterarb/python/energy_flow_proper/07_one_bath_systematics/figsaver.py:317, in plot_interaction_consistency(models, reference, label_fn, **kwargs)
+      315 for model in models:
+      316     with aux.get_data(model) as data:
+  --> 317         energy = model.interaction_energy(data, **kwargs)
+      318         interaction_ref = model.interaction_energy_from_conservation(data, **kwargs)
+      319         diff = abs(interaction_ref - energy)
+
+  File ~/src/two_qubit_model/hiro_models/model_base.py:310, in Model.interaction_energy(self, data, **kwargs)
+      299 """Calculates interaction energy from the hierarchy data
+      300 ``data``.
+      301
+     (...)
+      305 :returns: See :any:`hopsflow.util.interaction_energy_ensemble`.
+      306 """
+      308 N, kwargs = _get_N_kwargs(kwargs, data)
+  --> 310 return hopsflow.hopsflow.interaction_energy_ensemble(
+      311     data.valid_sample_iterator(data.stoc_traj),  # type: ignore
+      312     data.valid_sample_iterator(data.aux_states),  # type: ignore
+      313     self.hopsflow_system,
+      314     (data.valid_sample_iterator(data.rng_seed), self.hopsflow_therm(data.time[:])),  # type: ignore
+      315     N=N,
+      316     save=f"interaction_{self.hexhash}",
+      317     **kwargs,
+      318 )
+
+  File ~/src/hopsflow/hopsflow/hopsflow.py:485, in interaction_energy_ensemble(ψ_0s, ψ_1s, params, therm_args, **kwargs)
+      481         energy += interaction_energy_therm(run, therm_run)
+      483     return energy
+  --> 485 return util.ensemble_mean(
+      486     iter(zip(ψ_0s, ψ_1s, therm_args[0]))
+      487     if therm_args
+      488     else iter(zip(ψ_0s, ψ_1s, itertools.repeat(0))),
+      489     interaction_energy_task,
+      490     **kwargs,
+      491 )
+
+  File ~/src/hopsflow/hopsflow/util.py:655, in ensemble_mean(arg_iter, function, N, every, save, overwrite_cache, chunk_size)
+      651 @ray.remote
+      652 def remote_function(chunk: tuple):
+      653     return [function(arg) for arg in chunk]
+  --> 655 handles = [
+      656     remote_function.remote(chunk)
+      657     for chunk in tqdm(
+      658         _grouper(
+      659             chunk_size, itertools.islice(arg_iter, None, N - 1 if N else None)
+      660         ),
+      661         total=int((N - 1) / chunk_size + 1) if N is not None else None,
+      662         desc="Loading",
+      663     )
+      664 ]
+      666 progress = tqdm(total=len(handles), desc="Processing")
+      668 for ref in handles:
+
+  File ~/src/hopsflow/hopsflow/util.py:655, in <listcomp>(.0)
+      651 @ray.remote
+      652 def remote_function(chunk: tuple):
+      653     return [function(arg) for arg in chunk]
+  --> 655 handles = [
+      656     remote_function.remote(chunk)
+      657     for chunk in tqdm(
+      658         _grouper(
+      659             chunk_size, itertools.islice(arg_iter, None, N - 1 if N else None)
+      660         ),
+      661         total=int((N - 1) / chunk_size + 1) if N is not None else None,
+      662         desc="Loading",
+      663     )
+      664 ]
+      666 progress = tqdm(total=len(handles), desc="Processing")
+      668 for ref in handles:
+
+  File /nix/store/v8al73piyplb4zsr88jnspqc62njjpxq-python3-3.9.10-env/lib/python3.9/site-packages/tqdm/std.py:1195, in tqdm.__iter__(self)
+     1192 time = self._time
+     1194 try:
+  -> 1195     for obj in iterable:
+     1196         yield obj
+     1197         # Update and possibly print the progressbar.
+     1198         # Note: does not call self.update(1) for speed optimisation.
+
+  File ~/src/hopsflow/hopsflow/util.py:587, in _grouper(n, iterable)
+      584 """Groups the iteartor into tuples of at most length ``n``."""
+      586 while True:
+  --> 587     chunk = tuple(itertools.islice(iterable, n))
+      588     if not chunk:
+      589         return
+
+  File ~/src/hops/hops/core/hierarchy_data.py:1223, in HIData.valid_sample_iterator(self, iterator)
+     1216 def valid_sample_iterator(self, iterator: Iterator[T]) -> Iterator[T]:
+     1217     """
+     1218     Takes an ``iterator`` that yields a sequence of items related to
+     1219     the sequence of samples and yields them if the sample is
+     1220     actually present in the data.
+     1221     """
+  -> 1223     for i, item in enumerate(iterator):
+     1224         if self.has_sample(i):
+     1225             yield item
+
+  File /nix/store/v8al73piyplb4zsr88jnspqc62njjpxq-python3-3.9.10-env/lib/python3.9/site-packages/h5py/_hl/dataset.py:664, in Dataset.__iter__(self)
+      662     raise TypeError("Can't iterate over a scalar dataset")
+      663 for i in range(shape[0]):
+  --> 664     yield self[i]
+
+  File h5py/_objects.pyx:54, in h5py._objects.with_phil.wrapper()
+
+  File h5py/_objects.pyx:55, in h5py._objects.with_phil.wrapper()
+
+  File /nix/store/v8al73piyplb4zsr88jnspqc62njjpxq-python3-3.9.10-env/lib/python3.9/site-packages/h5py/_hl/dataset.py:793, in Dataset.__getitem__(self, args, new_dtype)
+      791 mspace = h5s.create_simple(selection.mshape)
+      792 fspace = selection.id
+  --> 793 self.id.read(mspace, fspace, arr, mtype, dxpl=self._dxpl)
+      795 # Patch up the output for NumPy
+      796 if arr.shape == ():
+
+  KeyboardInterrupt:
+#+end_example
+[[file:./.ob-jupyter/d81cd0cee8f06820ba9fdad3107ae9833dcff026.svg]]
 :END:
 
 #+begin_src jupyter-python