6.2 KiB
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 sketch of cycle and units
DONE Reproduce Basic Cycle
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
- reproduced the cycle from the master's thesis with new code
Simple: Continously Coupled vs Modulated Coupling
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
- 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
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
- 2D grid with fixed numeber of cycles
- maybe
5x5for 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
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
- time dependent coupling
- online calc
- tests
- docs
DONE Set up HO calcs with online analysis
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