From 7053d2ec1de110dc267234e449ff6cb0b9783928 Mon Sep 17 00:00:00 2001
From: Valentin Boettcher <hiro@protagon.space>
Date: Fri, 5 Nov 2021 11:30:05 +0100
Subject: [PATCH] project update

---
 project.org | 61 +++++++++++++++++++++++------------------------------
 1 file changed, 26 insertions(+), 35 deletions(-)

diff --git a/project.org b/project.org
index 7f44710..b89a0f3 100644
--- a/project.org
+++ b/project.org
@@ -29,30 +29,7 @@ See [[id:f8d8a28b-7ae3-425a-921e-8f472b166866][Numerics]]
 - [[id:eb435d2d-2625-4219-ae18-224eba0fa8a4][Coherent States]]
 
 * Todo
-** DONE Where is stochastic unraveling explained in more detail?
-- maybe in sources 1-7 in the cite:Diosi1997
-  1. cite:Diosi1995Jan
-- wait for hab...
-** RESOLVED Ito formalism necessary?
-** RESOLVED the stochastic calculus...
-** DONE understanding NMQSD
-** DONE How are gaussian processes described by their autocorellation
-** DONE Which mean is meant in the [[id:85fc22ad-ad87-4f6e-a395-00c6fb33f263][Bath Correlation Function]]?
-- ok mean in initial state
-** DONE What is the justification for substitutiong zt for a stochastic process?
-- actually we do not really substitute -> the sample trajectories /are/ a stoch. process
-** DONE Why in the first place? -> sampling -> but why processes
-** DONE The langevin eq. for Q in cite:Strunz2001Habil is NO LANGEVIN equation?!
-- well sort of. the solution is correct
-** DONE Mathematical nitpicks in cite:Strunz2001Habil
-** DONE IN cite:Strunz2001Habil this is meant as integral over initial conditions?
-** ASK [[id:c55b6bac-87e3-4b23-a238-c9135e3c1371][Quantum Fluctuation theorems?]]
-** DONE Submit stocproc and ... patches
-** ASK Only β dependence in Rivas H from definition, or also through time development?
-** ASK Nonlinear woes!
-- derivative of D operator?
-- Heisenberg Method can't work. At least it's no linear operator
-- ahh [[file:calca/nmqsd_doodles/nonlin_heisenberg.xoj][see the end of my notes]]
+** RESEARCH [[id:c55b6bac-87e3-4b23-a238-c9135e3c1371][Quantum Fluctuation theorems?]]
 * Tasks
 ** DONE Implement Basic HOPS
 :LOGBOOK:
@@ -76,14 +53,8 @@ CLOCK: [2021-10-07 Thu 13:38]--[2021-10-07 Thu 17:50] =>  4:12
 *** DONE TeX notes
 - done with nonlinear
 *** TODO verify that second hops state vanishes
-*** DONE Try to get Richards old HOPS working
-- code downloaded from [[https://cloudstore.zih.tu-dresden.de/index.php/s/9sdcn3FGGbDMDoj][here]]
-- it works see [[file:python/richard_hops/energy_flow.org][Energy Flow]]
-- interestingly with this model: only one aux state
-*** DONE Test Nonlinear hops
-- see [[file:python/richard_hops/energy_flow_nonlinear.org][here]]
-*** TODO Generalize to two Baths
-- bath-bath correlations
+*** NEXT Adapt New HOPS
+- [[id:64c775a3-860e-479d-8b08-904dc210991d][Strong coupling thermodynamics of open quantum systems]]
 *** TODO Generalize to Nonzero Temp
 - in cite:RichardDiss the noise hamiltonian method is described
 - b.c. only on system -> calculation should go through :)
@@ -93,6 +64,15 @@ CLOCK: [2021-10-07 Thu 13:38]--[2021-10-07 Thu 17:50] =>  4:12
 - not as bad as thought: no exponential form needed -> process smooth
 - [[file:calca/heat_flow/nonzero_t_no_time_derivative.xoj][one can get around the time derivative]]
 - i have implemented finite temperature [[file:python/richard_hops/energy_flow_thermal.org][here]]
+**** TODO Think about transform
+*** DONE Try to get Richards old HOPS working
+- code downloaded from [[https://cloudstore.zih.tu-dresden.de/index.php/s/9sdcn3FGGbDMDoj][here]]
+- it works see [[file:python/richard_hops/energy_flow.org][Energy Flow]]
+- interestingly with this model: only one aux state
+*** DONE Test Nonlinear hops
+- see [[file:python/richard_hops/energy_flow_nonlinear.org][here]]
+*** TODO Generalize to two Baths
+- bath-bath correlations
 *** TODO Analytic Verification
 - cummings
 - and pseudo-mode
@@ -115,9 +95,20 @@ CLOCK: [2021-10-07 Thu 13:38]--[2021-10-07 Thu 17:50] =>  4:12
 - Initial time: \(E_{\text {int }}(0):=\operatorname{Tr}\left[\rho_{\mathrm{S}}(0) H_{\mathrm{S}}\right] \quad\left(H_{\mathrm{S}}^{\circledast}(0, \beta)=H_{\mathrm{S}}\right)\)
 *** TODO Compare with Rivas Method
 *** DONE Find Rivas Paper
-*** TODO Make proper library
-*** TODO Adapt New HOPS
-- [[id:64c775a3-860e-479d-8b08-904dc210991d][Strong coupling thermodynamics of open quantum systems]]
+*** NEXT Make proper library
+*** TODO Three Bath Fridge
+**** Mail from Konstantin
+here is the paper I had in mind when we talked about the three-bath fridge.
+
+https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.070604
+
+
+I don't know if this scenario has been considered in a strong coupling framework.
+
+
+This fridge is working continuously. Maybe for HOPS a stroke-based model could be better to avoid long propagation to the steady state. Just as an example, here is an Otto-Fridge with strong coupling (I have not thou thoroughly read this paper)
+
+https://link.springer.com/article/10.1140%2Fepjs%2Fs11734-021-00094-0
 ** Find the Steady State
 ** Matrix Eigenvals
 - see cite:Pan1999May