project updates

project.org

@@ -541,14 +541,6 @@ See cite:Binder2018.
 - cite:Stevens2021Sep energy change in qubit drive field conditioned on measurement outcome
   - cites papers with engines fueled by measurements
 ** TODO Writing Up
-- mention coupling/decoupling effects
-- cite:Lobejko2021Feb -> weird: locked energy in coherences ->
-  restriction through thermal ops
-
-- long strokes: no mixing in hierarchy -> trunc scheme
-- future diffrent coupling to same bath -> thermal machine (shouldn't be possible)
-- mention curzon ahlborn and squeezed bath
-- mention potential power consistency check
 *** TODO Intro
 - recent interest in quantum thermodynamics
 - no consensus: maybe for periodic steady state but not transient
@@ -559,16 +551,39 @@ See cite:Binder2018.
   - general dynamics interesting: mention settled weak coupling/markov case
 - most methods -> manual access pertubative
   - cite kato papers cite:Kato2015Aug, cite:Kato2016Dec -> result for HEOM
-  - HOPS can do this too
+  - HOPS can do this too (and likely better)
+- HOPS side of motivation: we actually compute the whole unitary dynamics
+
+*** TODO Short Mention of NMQSD and HOPS
+- simple description, refer to appendix for details
+
 *** TODO Basic Results
 - how to calculate flow and interaction
-**** TODO Maybe Higher Moments
+- higher orders
-- at least hint at it -> cutoff
+
+**** TODO Cleaning it up
+- proper chapters
+- more prose
+
 *** TODO Analytical Comparison
 - brief review of the solution
 - basic demonstration
 - *maybe*: more numerics needed
 - lessons learned
+
+*** TODO Some Basic Quantum Thermodynamics
+- operational results about ergotropy
+- hint at next chapter
+- support argument for bath memory on nmqsd and hops level
+  - point to numerical result (somewhere in the 08 project...)
+- cite:Lobejko2021Feb -> weird: locked energy in coherences ->
+  restriction through thermal ops
+
+**** TODO Explicit Calculation for Bath with "infinite Memory"
+- N identical HO
+- point out, that bound will be saturated if level spacing becomes
+  continous (a conjecture!!!!)
+
 *** TODO Numerical Results
 **** TODO One Bath Thermo
 ***** TODO Model and Convergence
@@ -579,26 +594,53 @@ See cite:Binder2018.
   - stocproc
   - hierarchy depth
   - flow faster than system (sometimes)
-***** TODO Energy Reduction of the Bath
-- energ
-- initial slip pure dephasing
-  - consequences for design
-  - estimate of interaction energy
-- ergotropy results: N identical HO, small detuning + consecutive interaction
-  - general argument
-- initial slip dependence on BCF, coupling, also for time dependent
-- non hermitian coupling and nonzero temperature
-- fast driving of coupling or system or both
-- *maybe* theories to explain, probably resonance effects
-  - look at golden rule etc
 
-- support argument for effective passive state by uncoupling-recoupling the bath
+***** TODO Initial Slip
+- constant coupling
+- dynamics coupling
+- initial slip dependence on BCF, coupling, also for time dependent
+- energy-transport requires going away from pure dephasing
+  - somewhat "classical" in its nature
+
+***** TODO Energy Reduction of the Bath
+- show energy shovel
+- compare with σ_+ coupling
+- show friction vs frictionless
+- show with system vs without
+- show modulation frequency dep -> speed limit
+- show detuning depency -> resonance effect
+- show ω_c depence -> genuine non-markov features
+- discuss steady state behavior in light of theory
+
+****** TODO a truckload of cleanup in [[file:python/energy_flow_proper/08_dynamic_one_bath/coupling_modulation.org][here]]
+****** TODO find out if there is an applicaple markov result
+
 **** TODO Two Baths
 ***** TODO short demo of two qubits coupled to two baths
 - mention significance of non-commuting coupling: cite:Kato2016Dec
-***** TODO Engines
+***** TODO short demo of the otto cycle
+- mention papers on the topic
+  - mention curzon ahlborn and squeezed bath
+- only demonstration, no systematic enquiry made
+***** TODO Anti-Zeno Engine
+- short mention of the paper and the idea
+- nice because: non-markovian
+- description of the model, frictionless dynamics
+- explaination of choice of parameters
+- show basic anti-zeno result
+- mention coupling/decoupling effects
+
+****** TODO maybe try two hot baths :P
+****** TODO maybe calculate interaction fluctuation
+
+***** TODO MAYBE try to make something out of the shovel
 
 * Brainstorm/Ideas
+** Initial Coherences -> more work extraction
+** Spohn
+** Weak coupling second law
+** Test new entropy definition vs extracted work
+** Non monotonous entropy propduction <-> increased output?
 ** Compare with Rivas Method
 - especially in the light of the ergo inequality
 ** classical/markov limit
@@ -627,3 +669,4 @@ See cite:Binder2018.
 - logical: no info is lost in computation
 
 ** RESEARCH [[id:c55b6bac-87e3-4b23-a238-c9135e3c1371][Quantum Fluctuation theorems?]]
+** RESEARCH Do the enhancements in energy flow originate from the shift of the peak or from the absence of low energy modes?