Philipp Strasberg
Universitat Autònoma de Barcelona
ZOOM LINK TO JOIN IN: http://s.ic.fo/QTD_OpenQSystems211020
Wednesday Oct 21, 2020 / 17:00-17:30 CEST
QUANTUM STOCHASTIC THERMODYNAMICS: AN OPERATIONAL APPROACH
In classical stochastic thermodynamics there is a clear separation between the noise source (= the heat bath) and the information source (= the detector). Previous attempts to formulate a theory of quantum stochastic thermodynamics (e.g., the two-point measurement scheme, unravelling of quantum jump trajectories, etc.) identify the noise source with the information source by assuming that one has precise knowledge about the environment. Put differently, the heat bath and the detector are the same object in these proposals. This makes these theories hard to verify in practice and has led to the question which quantum effects they can actually describe.
I will here introduce an alternative approach, called “operational” quantum stochastic thermodynamics [1-4], in which the noise source in form of a heat bath is strictly separated from the actions of an external agent. The basic building blocks of this novel theory are the control operations of the external agent and, provably, it allows to equip any quantum causal model with a consistent thermodynamic interpretation. No detailed control of the bath is necessary in this framework. It further provides a thermodynamic framework to analyze Nobel-prize-winning experiment done in the group of Serge Haroche [5,6], which was previously not possible. Remarkably, the thermodynamic efficiency to prepare a pure photon number (Fock) state of the cavity in these experiments is very high [1].
[1] P. Strasberg, Phys. Rev. E 100, 022127 (2019).
[2] P. Strasberg and A. Winter, Phys. Rev. E 100, 022135 (2019).
[3] P. Strasberg, Phys. Rev. Lett. 123, 180604 (2019).
[4] P. Strasberg, Quantum 4, 240 (2020).
[5] C. Sayrin, et al., Nature 477, 73 (2011).
[6] X. Zhou, et al., Phys. Rev. Lett. 108, 243602 (2012).
Hi Philipp, thank you for the very interesting talk.
It was a bit short on the details of how you construct your theory – will look at your papers.
A small note on Anna’s question and your answer re Kolmogorov condition on the probabilities:
indeed if instead of the two-point measurement one performs two of a set of three measurements in time, then the Kolmogorov condition can be found to be broken, and this can lead to violations of a Leggett-Garg inequality (see https://arxiv.org/abs/1708.04068 for details)
Indeed, Janet! Violating Kolmogorov’s consistency condition is a necessary condition in order to violate a Leggett-Garg inequality.
Now, here comes my conjecture, which I am unable to prove:
Whenever you have a framework of quantum stochastic thermodynamics (whatever it is at the end), where you are able to derive fluctuation theorems with the same form as in classical stochastic thermodynamics, then your measurement statistics are classical (meaning that they obey Kolmogorov-Leggett-Garg).
Hi Philipp — nice conjecture, whose spirit I agree with.
But I don’t think there will be a one-to-one map between non-classical JE LG violation.
But maybe if one takes a set of fluctuation relations, not just JE, then it could work.
Good night,
Janet
PS: Thanks also for your questions on the LLG topic, have tried to answer.