diff --git a/python/energy_flow_proper/08_dynamic_one_bath/poetry.lock b/python/energy_flow_proper/08_dynamic_one_bath/poetry.lock
index f168344..2c2033d 100644
--- a/python/energy_flow_proper/08_dynamic_one_bath/poetry.lock
+++ b/python/energy_flow_proper/08_dynamic_one_bath/poetry.lock
@@ -106,11 +106,11 @@ test-tox-coverage = ["coverage (>=5.5)"]
 
 [[package]]
 name = "beautifulsoup4"
-version = "4.10.0"
+version = "4.11.1"
 description = "Screen-scraping library"
 category = "main"
 optional = false
-python-versions = ">3.0.0"
+python-versions = ">=3.6.0"
 
 [package.dependencies]
 soupsieve = ">1.2"
@@ -165,17 +165,20 @@ uvloop = ["uvloop (>=0.15.2)"]
 
 [[package]]
 name = "bleach"
-version = "4.1.0"
+version = "5.0.0"
 description = "An easy safelist-based HTML-sanitizing tool."
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.7"
 
 [package.dependencies]
-packaging = "*"
 six = ">=1.9.0"
 webencodings = "*"
 
+[package.extras]
+css = ["tinycss2 (>=1.1.0)"]
+dev = ["pip-tools (==6.5.1)", "pytest (==7.1.1)", "flake8 (==4.0.1)", "tox (==3.24.5)", "sphinx (==4.3.2)", "twine (==4.0.0)", "wheel (==0.37.1)", "hashin (==0.17.0)", "black (==22.3.0)", "mypy (==0.942)"]
+
 [[package]]
 name = "cffi"
 version = "1.15.0"
@@ -337,7 +340,7 @@ testing = ["covdefaults (>=1.2.0)", "coverage (>=4)", "pytest (>=4)", "pytest-co
 
 [[package]]
 name = "fonttools"
-version = "4.31.2"
+version = "4.32.0"
 description = "Tools to manipulate font files"
 category = "main"
 optional = false
@@ -410,7 +413,7 @@ qutip = "^4.6.3"
 type = "git"
 url = "git@github.com:vale981/two_qubit_model.git"
 reference = "main"
-resolved_reference = "69c3f39d94ac3e56b26fbdbeb5dc92ae23321a7a"
+resolved_reference = "329df8de6447bb09a74c138555759c1746a634ef"
 
 [[package]]
 name = "hops"
@@ -441,7 +444,7 @@ typer = "^0.4.0"
 type = "git"
 url = "git@gitlab.hrz.tu-chemnitz.de:s8896854--tu-dresden.de/hops.git"
 reference = "time_dep_coupling"
-resolved_reference = "c21a7708b4a8287791fb3e24c9b69d1e6e76b7c8"
+resolved_reference = "ad78f36167e0e3413ab306962da9a4105656ca84"
 
 [[package]]
 name = "hopsflow"
@@ -467,7 +470,7 @@ tqdm = "^4.62.3"
 type = "git"
 url = "https://github.com/vale981/hopsflow"
 reference = "main"
-resolved_reference = "4fc63d1c39d65e3fd858dcb3a565ecbd1cf82f53"
+resolved_reference = "992c5eb9aa5d384e097d4dc190f86ff365eff20a"
 
 [[package]]
 name = "humanfriendly"
@@ -482,7 +485,7 @@ pyreadline3 = {version = "*", markers = "sys_platform == \"win32\" and python_ve
 
 [[package]]
 name = "ipykernel"
-version = "6.12.1"
+version = "6.13.0"
 description = "IPython Kernel for Jupyter"
 category = "main"
 optional = false
@@ -629,7 +632,7 @@ qtconsole = "*"
 
 [[package]]
 name = "jupyter-client"
-version = "7.2.1"
+version = "7.2.2"
 description = "Jupyter protocol implementation and client libraries"
 category = "main"
 optional = false
@@ -680,14 +683,11 @@ traitlets = "*"
 
 [[package]]
 name = "jupyterlab-pygments"
-version = "0.1.2"
+version = "0.2.1"
 description = "Pygments theme using JupyterLab CSS variables"
 category = "main"
 optional = false
-python-versions = "*"
-
-[package.dependencies]
-pygments = ">=2.4.1,<3"
+python-versions = ">=3.7"
 
 [[package]]
 name = "jupyterlab-widgets"
@@ -813,7 +813,7 @@ test = ["ipython (<8.0.0)", "ipykernel", "ipywidgets (<8.0.0)", "pytest (>=4.1)"
 
 [[package]]
 name = "nbconvert"
-version = "6.4.5"
+version = "6.5.0"
 description = "Converting Jupyter Notebooks"
 category = "main"
 optional = false
@@ -824,23 +824,24 @@ beautifulsoup4 = "*"
 bleach = "*"
 defusedxml = "*"
 entrypoints = ">=0.2.2"
-jinja2 = ">=2.4"
-jupyter-core = "*"
+jinja2 = ">=3.0"
+jupyter-core = ">=4.7"
 jupyterlab-pygments = "*"
 MarkupSafe = ">=2.0"
 mistune = ">=0.8.1,<2"
-nbclient = ">=0.5.0,<0.6.0"
-nbformat = ">=4.4"
+nbclient = ">=0.5.0"
+nbformat = ">=5.1"
+packaging = "*"
 pandocfilters = ">=1.4.1"
 pygments = ">=2.4.1"
-testpath = "*"
+tinycss2 = "*"
 traitlets = ">=5.0"
 
 [package.extras]
-all = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (>=1,<1.1)", "tornado (>=4.0)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
+all = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pre-commit", "pyppeteer (>=1,<1.1)", "tornado (>=6.1)", "sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
 docs = ["sphinx (>=1.5.1)", "sphinx-rtd-theme", "nbsphinx (>=0.2.12)", "ipython"]
-serve = ["tornado (>=4.0)"]
-test = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pyppeteer (>=1,<1.1)"]
+serve = ["tornado (>=6.1)"]
+test = ["pytest", "pytest-cov", "pytest-dependency", "ipykernel", "ipywidgets (>=7)", "pre-commit", "pyppeteer (>=1,<1.1)"]
 webpdf = ["pyppeteer (>=1,<1.1)"]
 
 [[package]]
@@ -1019,7 +1020,7 @@ tests = ["pytest", "pytest-cov", "pytest-lazy-fixture"]
 
 [[package]]
 name = "prometheus-client"
-version = "0.14.0"
+version = "0.14.1"
 description = "Python client for the Prometheus monitoring system."
 category = "main"
 optional = false
@@ -1103,14 +1104,14 @@ python-versions = ">=3.5"
 
 [[package]]
 name = "pyparsing"
-version = "3.0.7"
-description = "Python parsing module"
+version = "3.0.8"
+description = "pyparsing module - Classes and methods to define and execute parsing grammars"
 category = "main"
 optional = false
-python-versions = ">=3.6"
+python-versions = ">=3.6.8"
 
 [package.extras]
-diagrams = ["jinja2", "railroad-diagrams"]
+diagrams = ["railroad-diagrams", "jinja2"]
 
 [[package]]
 name = "pyreadline3"
@@ -1397,15 +1398,19 @@ tornado = ">=4"
 test = ["pytest"]
 
 [[package]]
-name = "testpath"
-version = "0.6.0"
-description = "Test utilities for code working with files and commands"
+name = "tinycss2"
+version = "1.1.1"
+description = "A tiny CSS parser"
 category = "main"
 optional = false
-python-versions = ">= 3.5"
+python-versions = ">=3.6"
+
+[package.dependencies]
+webencodings = ">=0.4"
 
 [package.extras]
-test = ["pytest"]
+doc = ["sphinx", "sphinx-rtd-theme"]
+test = ["pytest", "pytest-cov", "pytest-flake8", "pytest-isort", "coverage"]
 
 [[package]]
 name = "tomli"
@@ -1589,8 +1594,8 @@ beartype = [
     {file = "beartype-0.10.4.tar.gz", hash = "sha256:24ec69f6a7f4e6e97af403d08de270def3248518060327095d23b1c4df64bf2a"},
 ]
 beautifulsoup4 = [
-    {file = "beautifulsoup4-4.10.0-py3-none-any.whl", hash = "sha256:9a315ce70049920ea4572a4055bc4bd700c940521d36fc858205ad4fcde149bf"},
-    {file = "beautifulsoup4-4.10.0.tar.gz", hash = "sha256:c23ad23c521d818955a4151a67d81580319d4bf548d3d49f4223ae041ff98891"},
+    {file = "beautifulsoup4-4.11.1-py3-none-any.whl", hash = "sha256:58d5c3d29f5a36ffeb94f02f0d786cd53014cf9b3b3951d42e0080d8a9498d30"},
+    {file = "beautifulsoup4-4.11.1.tar.gz", hash = "sha256:ad9aa55b65ef2808eb405f46cf74df7fcb7044d5cbc26487f96eb2ef2e436693"},
 ]
 binfootprint = []
 black = [
@@ -1598,8 +1603,8 @@ black = [
     {file = "black-21.12b0.tar.gz", hash = "sha256:77b80f693a569e2e527958459634f18df9b0ba2625ba4e0c2d5da5be42e6f2b3"},
 ]
 bleach = [
-    {file = "bleach-4.1.0-py2.py3-none-any.whl", hash = "sha256:4d2651ab93271d1129ac9cbc679f524565cc8a1b791909c4a51eac4446a15994"},
-    {file = "bleach-4.1.0.tar.gz", hash = "sha256:0900d8b37eba61a802ee40ac0061f8c2b5dee29c1927dd1d233e075ebf5a71da"},
+    {file = "bleach-5.0.0-py3-none-any.whl", hash = "sha256:08a1fe86d253b5c88c92cc3d810fd8048a16d15762e1e5b74d502256e5926aa1"},
+    {file = "bleach-5.0.0.tar.gz", hash = "sha256:c6d6cc054bdc9c83b48b8083e236e5f00f238428666d2ce2e083eaa5fd568565"},
 ]
 cffi = [
     {file = "cffi-1.15.0-cp27-cp27m-macosx_10_9_x86_64.whl", hash = "sha256:c2502a1a03b6312837279c8c1bd3ebedf6c12c4228ddbad40912d671ccc8a962"},
@@ -1723,8 +1728,8 @@ filelock = [
     {file = "filelock-3.6.0.tar.gz", hash = "sha256:9cd540a9352e432c7246a48fe4e8712b10acb1df2ad1f30e8c070b82ae1fed85"},
 ]
 fonttools = [
-    {file = "fonttools-4.31.2-py3-none-any.whl", hash = "sha256:2df636a3f402ef14593c6811dac0609563b8c374bd7850e76919eb51ea205426"},
-    {file = "fonttools-4.31.2.zip", hash = "sha256:236b29aee6b113e8f7bee28779c1230a86ad2aac9a74a31b0aedf57e7dfb62a4"},
+    {file = "fonttools-4.32.0-py3-none-any.whl", hash = "sha256:b038d1a0dee0079de7ade57071e2e2aced6e35bd697de244ac62938b2b1628c1"},
+    {file = "fonttools-4.32.0.zip", hash = "sha256:59a90de72149893167e3d552ae2402c6874e006b9adc3feaf5f6d706fe20d392"},
 ]
 future = [
     {file = "future-0.18.2.tar.gz", hash = "sha256:b1bead90b70cf6ec3f0710ae53a525360fa360d306a86583adc6bf83a4db537d"},
@@ -1801,8 +1806,8 @@ humanfriendly = [
     {file = "humanfriendly-10.0.tar.gz", hash = "sha256:6b0b831ce8f15f7300721aa49829fc4e83921a9a301cc7f606be6686a2288ddc"},
 ]
 ipykernel = [
-    {file = "ipykernel-6.12.1-py3-none-any.whl", hash = "sha256:d840e3bf1c4b23bf6939f78dcdae639c9f6962e41d17e1c084a18c3c7f972d3a"},
-    {file = "ipykernel-6.12.1.tar.gz", hash = "sha256:0868f5561729ade444011f8ca7d3502dc9f27f7f44e20f1d5fee7e1f2b7183a1"},
+    {file = "ipykernel-6.13.0-py3-none-any.whl", hash = "sha256:2b0987af43c0d4b62cecb13c592755f599f96f29aafe36c01731aaa96df30d39"},
+    {file = "ipykernel-6.13.0.tar.gz", hash = "sha256:0e28273e290858393e86e152b104e5506a79c13d25b951ac6eca220051b4be60"},
 ]
 ipython = [
     {file = "ipython-8.2.0-py3-none-any.whl", hash = "sha256:1b672bfd7a48d87ab203d9af8727a3b0174a4566b4091e9447c22fb63ea32857"},
@@ -1834,8 +1839,8 @@ jupyter = [
     {file = "jupyter-1.0.0.zip", hash = "sha256:3e1f86076bbb7c8c207829390305a2b1fe836d471ed54be66a3b8c41e7f46cc7"},
 ]
 jupyter-client = [
-    {file = "jupyter_client-7.2.1-py3-none-any.whl", hash = "sha256:d10e31ac4b8364d1cb30ebcee9e5cc7b7eb5d23b76912be9ef3d4c75167fbc68"},
-    {file = "jupyter_client-7.2.1.tar.gz", hash = "sha256:aa177279e93205d0681ec0e2e210da01b22c5a1464a56abd455adcac64f0de91"},
+    {file = "jupyter_client-7.2.2-py3-none-any.whl", hash = "sha256:44045448eadc12493d819d965eb1dc9d10d1927698adbb9b14eb9a3a4a45ba53"},
+    {file = "jupyter_client-7.2.2.tar.gz", hash = "sha256:8fdbad344a8baa6a413d86d25bbf87ce21cb2b4aa5a8e0413863b9754eb8eb8a"},
 ]
 jupyter-console = [
     {file = "jupyter_console-6.4.3-py3-none-any.whl", hash = "sha256:e630bcb682c0088dda45688ad7c2424d4a825c8acf494cb036ced03ed0424841"},
@@ -1846,8 +1851,8 @@ jupyter-core = [
     {file = "jupyter_core-4.9.2.tar.gz", hash = "sha256:d69baeb9ffb128b8cd2657fcf2703f89c769d1673c851812119e3a2a0e93ad9a"},
 ]
 jupyterlab-pygments = [
-    {file = "jupyterlab_pygments-0.1.2-py2.py3-none-any.whl", hash = "sha256:abfb880fd1561987efaefcb2d2ac75145d2a5d0139b1876d5be806e32f630008"},
-    {file = "jupyterlab_pygments-0.1.2.tar.gz", hash = "sha256:cfcda0873626150932f438eccf0f8bf22bfa92345b814890ab360d666b254146"},
+    {file = "jupyterlab_pygments-0.2.1-py2.py3-none-any.whl", hash = "sha256:05f8056a18fec9ebef01f705443d81edb16bb03d27371f23c0ae135a85a76029"},
+    {file = "jupyterlab_pygments-0.2.1.tar.gz", hash = "sha256:121da770930e348895f89d6bdfce7e7e6a8bb574162923f9c9ef5a20c61619c6"},
 ]
 jupyterlab-widgets = [
     {file = "jupyterlab_widgets-1.1.0-py3-none-any.whl", hash = "sha256:c2a9bd3789f120f64d73268c066ed3b000c56bc1dda217be5cdc43e7b4ebad3f"},
@@ -2037,8 +2042,8 @@ nbclient = [
     {file = "nbclient-0.5.13.tar.gz", hash = "sha256:40c52c9b5e3c31faecaee69f202b3f53e38d7c1c563de0fadde9d7eda0fdafe8"},
 ]
 nbconvert = [
-    {file = "nbconvert-6.4.5-py3-none-any.whl", hash = "sha256:e01d219f55cc79f9701c834d605e8aa3acf35725345d3942e3983937f368ce14"},
-    {file = "nbconvert-6.4.5.tar.gz", hash = "sha256:21163a8e2073c07109ca8f398836e45efdba2aacea68d6f75a8a545fef070d4e"},
+    {file = "nbconvert-6.5.0-py3-none-any.whl", hash = "sha256:c56dd0b8978a1811a5654f74c727ff16ca87dd5a43abd435a1c49b840fcd8360"},
+    {file = "nbconvert-6.5.0.tar.gz", hash = "sha256:223e46e27abe8596b8aed54301fadbba433b7ffea8196a68fd7b1ff509eee99d"},
 ]
 nbformat = [
     {file = "nbformat-5.3.0-py3-none-any.whl", hash = "sha256:38856d97de49e8292e2d5d8f595e9d26f02abfd87e075d450af4511870b40538"},
@@ -2151,8 +2156,8 @@ prettytable = [
     {file = "prettytable-3.2.0.tar.gz", hash = "sha256:ae7d96c64100543dc61662b40a28f3b03c0f94a503ed121c6fca2782c5816f81"},
 ]
 prometheus-client = [
-    {file = "prometheus_client-0.14.0-py3-none-any.whl", hash = "sha256:f4aba3fdd1735852049f537c1f0ab177159b7ab76f271ecc4d2f45aa2a1d01f2"},
-    {file = "prometheus_client-0.14.0.tar.gz", hash = "sha256:8f7a922dd5455ad524b6ba212ce8eb2b4b05e073f4ec7218287f88b1cac34750"},
+    {file = "prometheus_client-0.14.1-py3-none-any.whl", hash = "sha256:522fded625282822a89e2773452f42df14b5a8e84a86433e3f8a189c1d54dc01"},
+    {file = "prometheus_client-0.14.1.tar.gz", hash = "sha256:5459c427624961076277fdc6dc50540e2bacb98eebde99886e59ec55ed92093a"},
 ]
 prompt-toolkit = [
     {file = "prompt_toolkit-3.0.29-py3-none-any.whl", hash = "sha256:62291dad495e665fca0bda814e342c69952086afb0f4094d0893d357e5c78752"},
@@ -2239,8 +2244,8 @@ pygments = [
     {file = "Pygments-2.11.2.tar.gz", hash = "sha256:4e426f72023d88d03b2fa258de560726ce890ff3b630f88c21cbb8b2503b8c6a"},
 ]
 pyparsing = [
-    {file = "pyparsing-3.0.7-py3-none-any.whl", hash = "sha256:a6c06a88f252e6c322f65faf8f418b16213b51bdfaece0524c1c1bc30c63c484"},
-    {file = "pyparsing-3.0.7.tar.gz", hash = "sha256:18ee9022775d270c55187733956460083db60b37d0d0fb357445f3094eed3eea"},
+    {file = "pyparsing-3.0.8-py3-none-any.whl", hash = "sha256:ef7b523f6356f763771559412c0d7134753f037822dad1b16945b7b846f7ad06"},
+    {file = "pyparsing-3.0.8.tar.gz", hash = "sha256:7bf433498c016c4314268d95df76c81b842a4cb2b276fa3312cfb1e1d85f6954"},
 ]
 pyreadline3 = [
     {file = "pyreadline3-3.4.1-py3-none-any.whl", hash = "sha256:b0efb6516fd4fb07b45949053826a62fa4cb353db5be2bbb4a7aa1fdd1e345fb"},
@@ -2485,9 +2490,9 @@ terminado = [
     {file = "terminado-0.13.3-py3-none-any.whl", hash = "sha256:874d4ea3183536c1782d13c7c91342ef0cf4e5ee1d53633029cbc972c8760bd8"},
     {file = "terminado-0.13.3.tar.gz", hash = "sha256:94d1cfab63525993f7d5c9b469a50a18d0cdf39435b59785715539dd41e36c0d"},
 ]
-testpath = [
-    {file = "testpath-0.6.0-py3-none-any.whl", hash = "sha256:8ada9f80a2ac6fb0391aa7cdb1a7d11cfa8429f693eda83f74dde570fe6fa639"},
-    {file = "testpath-0.6.0.tar.gz", hash = "sha256:2f1b97e6442c02681ebe01bd84f531028a7caea1af3825000f52345c30285e0f"},
+tinycss2 = [
+    {file = "tinycss2-1.1.1-py3-none-any.whl", hash = "sha256:fe794ceaadfe3cf3e686b22155d0da5780dd0e273471a51846d0a02bc204fec8"},
+    {file = "tinycss2-1.1.1.tar.gz", hash = "sha256:b2e44dd8883c360c35dd0d1b5aad0b610e5156c2cb3b33434634e539ead9d8bf"},
 ]
 tomli = [
     {file = "tomli-1.2.3-py3-none-any.whl", hash = "sha256:e3069e4be3ead9668e21cb9b074cd948f7b3113fd9c8bba083f48247aab8b11c"},