mirror of
https://github.com/vale981/master-thesis-tex
synced 2025-03-05 09:31:39 -05:00
3.3 KiB
3.3 KiB
These are the planning and notes for the talk for "Wissenschaftliches Arbeiten".
There is a total time of 20 minutes to fill, which is going to be a pretty tough upper bound.
(defun total-time ()
(interactive)
(let ((total 0))
(message
(number-to-string
(apply
#'+
(org-map-entries
#'(lambda ()
(string-to-number
(or (cdr (assoc "DURATION" (org-entry-properties))) "0")))))))))Introduction
DONE General Model WAITING
- hamiltonian multiple baths
- (def. BCFs)
DONE Motivation
- weak coupling/equilibrium well settled
- strong coupling: no consensus (lots of citations)
-
won't be settled in a masters thesis but ->
- access to bath/interaction observables with exact dynamics would be helpful
- this where hopsflow will come in
- also: nice maintainable tooling would be good
DONE NMQSD
- nmqsd equation
- not much more
DONE HOPS
- hops for multiple baths
- with new normalization
Bath Energy
DONE Formulas and Generalizations
- short derivation
- explain hurdles
- explain nonzero
DONE Interaction Energy
- straight forward -> remove dot
Analytical Verification
Model
- for one HO
- give valentin credit
Solution
- give valentin credit
- general idea
- formula for laplace transform of exponential
- trick with mathematica
Comparison
- one bath case for zero and nonzero temperature
Quick review of the two HO case
- explain that generalization is straight forward
- problems with numerics (sensitive to bcf)
- show comparison
Applications
One Bath, Zero
-
quick mention of use as convergence check, no details
- it is hard to get "perfect" convergence, but qualitative picture is ok pretty fast
- quick mention of resonance effect -> already present in weak coupling
- non show that non markovianity has to be exploited pretty rigorously
- point out initial slip, mention that this has to do with initial pure dephasing
- dependence of the energy change on shape of bcf -> beyond weak coupling and non-markovianity
One Bath with Modulation
- take the figure from the poster
- explain ergotropy bound
- show relevance of non-markovianity
Show a picture of a circular process
- just as demo, not looked into this
show plots of anti zeno engine
- say wip
- explain anti zeno engine
- hard to reproduce -> weak coupling but very high temperatures
- ideally hops allows us to go beyond the restrictive setting in the paper
HOPS Related, No Details
- code and docs and tests and poetry
- auto norm
- new cutoff
- tree hops
Outlook
-
concrete models
- sweep
- three baths
- steady state detection -> pseudo eigenstates?
-
higher order moments of bath energy
- may bring insight into role of aux states
- better cutoff for multi bath (not as many cross terms)
- concrete importance sampling