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#+STARTUP: content
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2021-10-11 10:21:38 +02:00
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#+FILETAGS: Uni Master
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2021-09-18 17:38:23 +02:00
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2021-09-17 17:35:38 +02:00
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* Literature
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2021-09-21 18:10:22 +02:00
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** Stochastic Processes
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- [[id:223952d2-a9fa-4c96-b429-f05fd08644ca][Introduction to stochastic processes-lecture notes]]
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- [[id:80a1efbe-130e-4236-a5bc-a29dc81ea57a][Stochastic processes for physicists: understanding noisy systems]]
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- [[id:8559e06e-8681-4fc6-86ff-5732aefacca7][Probability and stochastic processes for physicists ||]]
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** Open Systems
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- [[id:c2e028d9-7ba5-4bbe-8c45-b191c6001f9a][Open Quantum Systems]] by Rivas
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- [[id:bbcfafbe-685a-4773-9391-119230199e67][Fundamentals of quantum optics benjamin]] by Klauder
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2021-09-21 18:10:22 +02:00
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** Stochastic Unravelings
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- [[id:d1b1ff19-6450-48e5-96b7-cf0ba75e33d0][The quantum-state diffusion model applied to open systems]] one of the first applications
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- [[id:487f7392-2db2-474d-a97d-2392b8801a58][Decoherent histories and quantum state diffusion]]
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** NMQSD
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See also [[id:0c2d1e58-7af7-411a-ace4-b6cc9e16859b][NMQSD]].
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- [[id:f621ce90-bf29-4ee7-8972-618d41eb5092][The non-markovian stochastic schr\ifmmodeo\else\"o\fidinger equation for open systems]]
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- [[id:abb3e07e-ce6f-4ab8-bc88-f00f80196ed6][Non-Markovian Quantum State Diffusion]]
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- [[id:c3fc86bd-8b17-4015-b12d-b2a345da49c3][Open system dynamics with non-markovian quantum trajectories]]
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** HOPS
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See also [[id:ddb3a3ad-c876-461d-b634-4bb5d330e25a][HOPS]].
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- [[id:d98cf8bd-ec91-42a7-bea9-1d196ed42c32][Hierarchy of stochastic pure states for open quantum system dynamics]]
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- [[id:e5a44f45-2120-44ce-8e74-5ae247fa977e][Exact open quantum system dynamics using the hierarchy of pure states (hops)]]
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- [[id:66e7eaf1-24a8-4a14-826e-1f132823fa9a][Open quantum system response from the hierarchy of pure states]]
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** Numerik
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See [[id:f8d8a28b-7ae3-425a-921e-8f472b166866][Numerics]]
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- [[id:f056e38e-d46b-40c5-bc69-5a14d2db2c88][Numerical Recipes]]
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* Important Basics
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- [[id:eb435d2d-2625-4219-ae18-224eba0fa8a4][Coherent States]]
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* Todo
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** DONE Where is stochastic unraveling explained in more detail?
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- maybe in sources 1-7 in the cite:Diosi1997
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1. cite:Diosi1995Jan
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- wait for hab...
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** RESOLVED Ito formalism necessary?
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** RESOLVED the stochastic calculus...
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** DONE understanding NMQSD
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** DONE How are gaussian processes described by their autocorellation
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** DONE Which mean is meant in the [[id:85fc22ad-ad87-4f6e-a395-00c6fb33f263][Bath Correlation Function]]?
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- ok mean in initial state
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** DONE What is the justification for substitutiong zt for a stochastic process?
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- actually we do not really substitute -> the sample trajectories /are/ a stoch. process
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** DONE Why in the first place? -> sampling -> but why processes
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** DONE The langevin eq. for Q in cite:Strunz2001Habil is NO LANGEVIN equation?!
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- well sort of. the solution is correct
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** DONE Mathematical nitpicks in cite:Strunz2001Habil
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** DONE IN cite:Strunz2001Habil this is meant as integral over initial conditions?
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** ASK [[id:c55b6bac-87e3-4b23-a238-c9135e3c1371][Quantum Fluctuation theorems?]]
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2021-10-15 15:44:19 +02:00
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** DONE Submit stocproc and ... patches
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* Tasks
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** DONE Implement Basic HOPS
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:LOGBOOK:
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CLOCK: [2021-10-08 Fri 08:51]
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CLOCK: [2021-10-07 Thu 13:38]--[2021-10-07 Thu 17:50] => 4:12
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:END:
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- see [[file:python/experiments/stochproc/test_stoch.org][my stoch. proc experiments]]
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- ill use [[https://github.com/cimatosa/stocproc/tree/master/stocproc][richards]] package
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** Find the Steady State
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** Quantify Heat Transfer
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- not as easy as in the cite:Kato2015Aug paper
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- maybe heisenberg picture useful
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- see my notes. just calculate the time derivative of the bath energy
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expectation
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- [[file:python/billohops/test_billohops.org][my first experiments]] yield bogus numerics...
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*** TODO TeX notes
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- done with nonlinear
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*** TODO verify that second hops state vanishes
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*** DONE Try to get Richards old HOPS working
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2021-10-15 16:18:03 +02:00
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- code downloaded from [[https://cloudstore.zih.tu-dresden.de/index.php/s/9sdcn3FGGbDMDoj][here]]
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2021-10-20 18:56:54 +02:00
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- it works see [[file:python/richard_hops/energy_flow.org][Energy Flow]]
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- interestingly with this model: only one aux state
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2021-10-20 18:56:54 +02:00
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*** TODO Test Nonlinear hops
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*** TODO Generalize to two Baths
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*** TODO Generalize to Nonzero Temp
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- in cite:RichardDiss the noise hamiltonian method is described
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- b.c. only on system -> calculation should go through :)
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*** TODO Analytic Verification
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- cummings
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- and pseudo-mode
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** Rivas Vortrag
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** Matrix Eigenvals
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- see cite:Pan1999May
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** Relation between coerrelation time and hops depth
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