HOPSFlow-Paper/project.org

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* Outline
** Intro
- significance of quantum thermo
- prior art
- overview of our method and its capabilities/advantages
- short intro into our example application
*** TODO Find out which papers to cite
- from my thesis
- from konstantins
- new stuff from cyril?
** Energy Flow with HOPS
- short intro about structure of section
*** NMQSD
- very brief
- mostly cite other papers
*** HOPS
- same: brief and cite
- introduce notation
*** Energy Flow
- demonstrate one bath/linear in detail
- finite temperature too
*** Generalizations
- list and explain expressions: nonlinear, finite temp, general observables
- refer to appendix for details?
** Application
- short outline of applications
- mention the analytic verification and refer to thesis?
*** One Bath: Energy Transfer Tuning
- simplest case: one bath, zero T
*** Two Bath
- otto motor setup
- cite papers that looked at it
- see [[file:notes/cycle_design.xopp][sketch of cycle and units]]
**** DONE Reproduce Basic Cycle
:LOGBOOK:
CLOCK: [2022-11-29 Tue 10:35]--[2022-11-29 Tue 11:01] => 0:26
CLOCK: [2022-11-29 Tue 09:41]--[2022-11-29 Tue 10:21] => 0:40
CLOCK: [2022-11-28 Mon 18:12]--[2022-11-28 Mon 21:19] => 3:07
CLOCK: [2022-11-28 Mon 17:42]--[2022-11-28 Mon 18:07] => 0:25
CLOCK: [2022-11-28 Mon 16:50]--[2022-11-28 Mon 17:16] => 0:26
CLOCK: [2022-11-28 Mon 16:21]--[2022-11-28 Mon 16:46] => 0:25
CLOCK: [2022-11-28 Mon 15:50]--[2022-11-28 Mon 16:15] => 0:25
CLOCK: [2022-11-28 Mon 15:10]--[2022-11-28 Mon 15:40] => 0:30
CLOCK: [2022-11-28 Mon 14:55]--[2022-11-28 Mon 15:10] => 0:15
CLOCK: [2022-11-28 Mon 20:51]--[2022-11-28 Mon 20:54] => 0:03
:END:
- reproduced the cycle from the master's thesis with new code
**** Simple: Continously Coupled vs Modulated Coupling
:LOGBOOK:
CLOCK: [2022-12-02 Fri 12:40]--[2022-12-02 Fri 13:07] => 0:27
CLOCK: [2022-12-02 Fri 11:52]--[2022-12-02 Fri 12:35] => 0:43
CLOCK: [2022-12-02 Fri 11:52]--[2022-12-02 Fri 11:52] => 0:00
CLOCK: [2022-12-01 Thu 17:30]--[2022-12-01 Thu 18:30] => 1:00
CLOCK: [2022-12-01 Thu 11:45]--[2022-12-01 Thu 12:42] => 0:57
CLOCK: [2022-12-01 Thu 11:00]--[2022-12-01 Thu 11:30] => 0:30
CLOCK: [2022-12-01 Thu 10:33]--[2022-12-01 Thu 10:56] => 0:23
:END:
- see also what happens if we overlap modulation of hamiltonian and
coupling
**** Simple: Coupling Work
- what happens if coupling modulation and hamiltonian modulation
happen at the same time?
**** TODO verify what has been done
- carnot eficiency
- efficiency vs power heatmap?
- cite:Geva1992Feb quasi static efficiency is 1 - ω_c / ω_h
- time vs temperature ratio scaling (5.36), for high
temperatures... not so useful here
- cite:Wiedmann2021Jun otto fridge with HO as working medium
- work over coupling strength, for diffirent cold bath temperatures
- separating interaction and drive work
- absorbed heat over coupling strength, for diffirent cold , for
diffirent cold bath temperaturesbath temperatures
- cite cooling condition from cite:Abah2016Apr
- compare von neumann entropy of medium with weak coupling thermal state
- cite:Wiedmann2020Mar an actual engine, not fridge
- shows quantities vs coupling
- efficiency vs coupling and speed
- power as function of modulation time, for different temperatures
- discusses coupling work
**** TODO own scans
- scan compression ratio
- scan coupling strength
- scan scan cycle length
All nice and good, but we need concrete plans.
***** TODO Cycle Length + Coupling Strength
:LOGBOOK:
CLOCK: [2022-12-12 Mon 14:45]--[2022-12-12 Mon 15:34] => 0:49
CLOCK: [2022-12-12 Mon 14:05]--[2022-12-12 Mon 14:40] => 0:35
CLOCK: [2022-12-12 Mon 13:29]--[2022-12-12 Mon 13:58] => 0:29
:END:
- 2D grid with fixed numeber of cycles
- maybe ~5x5~ for now and later more
***** Compression Ratio at fixed coupling strength and cycle length
**** TODO scan timing
- compression and expansion timing variation in less markovian regime
- likely: no advantage
** Conclusion
- brief review of what has been achieved
- bath sections
- other bath observables accessible through tricks?
- other finite temp method... -> advantage: probably no derivatives of
stochastic processes, but more hierarchy depth
* Tasks
** DONE Merge HOPS
:LOGBOOK:
CLOCK: [2022-11-23 Wed 23:39]--[2022-11-24 Thu 00:03] => 0:24
CLOCK: [2022-11-23 Wed 22:45]--[2022-11-23 Wed 23:20] => 0:35
CLOCK: [2022-11-23 Wed 22:10]--[2022-11-23 Wed 22:38] => 0:28
CLOCK: [2022-11-23 Wed 21:39]--[2022-11-23 Wed 22:04] => 0:25
:END:
- time dependent coupling
- online calc
- tests
- docs
** DONE Set up HO calcs with online analysis
:LOGBOOK:
CLOCK: [2022-11-30 Wed 16:27]--[2022-11-30 Wed 18:32] => 2:05
CLOCK: [2022-11-30 Wed 15:22]--[2022-11-30 Wed 16:07] => 0:45
CLOCK: [2022-11-30 Wed 13:21]--[2022-11-30 Wed 14:06] => 0:45
CLOCK: [2022-11-30 Wed 12:26]--[2022-11-30 Wed 13:16] => 0:50
CLOCK: [2022-11-30 Wed 11:11]--[2022-11-30 Wed 12:11] => 1:00
CLOCK: [2022-11-29 Tue 17:53]--[2022-11-29 Tue 18:53] => 1:00
CLOCK: [2022-11-29 Tue 15:33]--[2022-11-29 Tue 16:33] => 1:00
CLOCK: [2022-11-29 Tue 15:05]--[2022-11-29 Tue 15:33] => 0:28
CLOCK: [2022-11-28 Mon 14:45]--[2022-11-28 Mon 14:50] => 0:05
CLOCK: [2022-11-28 Mon 13:04]--[2022-11-28 Mon 13:31] => 0:27
CLOCK: [2022-11-28 Mon 12:06]--[2022-11-28 Mon 12:58] => 0:52
CLOCK: [2022-11-28 Mon 11:28]--[2022-11-28 Mon 11:57] => 0:29
CLOCK: [2022-11-28 Mon 10:52]--[2022-11-28 Mon 11:08] => 0:16
CLOCK: [2022-11-26 Sat 12:29]--[2022-11-26 Sat 12:54] => 0:25
CLOCK: [2022-11-26 Sat 12:02]--[2022-11-26 Sat 12:29] => 0:27
CLOCK: [2022-11-26 Sat 11:10]--[2022-11-26 Sat 11:38] => 0:28
CLOCK: [2022-11-26 Sat 10:17]--[2022-11-26 Sat 10:49] => 0:32
CLOCK: [2022-11-25 Fri 20:20]--[2022-11-25 Fri 21:04] => 0:44
CLOCK: [2022-11-25 Fri 19:27]--[2022-11-25 Fri 19:52] => 0:25
CLOCK: [2022-11-25 Fri 18:42]--[2022-11-25 Fri 19:08] => 0:26
CLOCK: [2022-11-25 Fri 18:12]--[2022-11-25 Fri 18:37] => 0:25
CLOCK: [2022-11-24 Thu 15:38]--[2022-11-24 Thu 16:04] => 0:26
CLOCK: [2022-11-24 Thu 15:08]--[2022-11-24 Thu 15:34] => 0:26
CLOCK: [2022-11-24 Thu 14:31]--[2022-11-24 Thu 14:56] => 0:25
CLOCK: [2022-11-24 Thu 13:59]--[2022-11-24 Thu 14:25] => 0:26
CLOCK: [2022-11-24 Thu 11:51]--[2022-11-24 Thu 12:06] => 0:15
:END:
** TODO sort out richards libraries
* Nice to Haves
** SOMEDAY test online calc
** SOMEDAY test dynamic matrix