Thermodynamics of continuous non-Markovian feedback control

Debiossac, Maxime; Grass, David; Alonso, J. J.; Lutz, Eric; Kiesel, Nikolai

doi:10.1038/s41467-020-15148-5

Cited by 51 publications

(31 citation statements)

References 34 publications

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“…Our framework will be invaluable to analyze and characterize the nonequilibrium dynamics of experimental systems of strong current interest. In particular, levitated quantum optomechanics offers fertile ground for the application of our formalism 48,49,[51][52][53][54][55]68 .…”

Section: Discussionmentioning

confidence: 99%

“…Our approach paves the way to the assessment of the nonequilibrium thermodynamics of continuously monitored Gaussian systems-such as (ensembles of) trapped ions and quadratically confined levitated optomechanical systems-whose energetics will require tools designed to tackle the intricacies of quantum dynamics and the stochasticity of quantum measurements, which are currently lacking [46][47][48][49][50][51][52][53][54][55] .…”

Section: Introductionmentioning

confidence: 99%

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Entropy production in continuously measured Gaussian quantum systems

et al. 2020

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The entropy production rate is a key quantity in nonequilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress toward its full grasping. By using a phase space-based approach, here we take the current framework for the assessment of thermodynamic irreversibility all the way to quantum regimes by characterizing entropy production—and its rate—resulting from the continuous monitoring of a Gaussian system. This allows us to formulate a sharpened second law of thermodynamics that accounts for the measurement back action and information gain from a continuously monitored system. We illustrate our framework in a series of physically relevant examples.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entropy production in continuously measured Gaussian quantum systems

et al. 2020

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“…This remains an interesting open question. The same issue arises in many other examples of multiple measurements under repeated feedback control [32][33][34][35] One of the most relevant results in [1] is that )*+ in Eq. (3), and more in general the information-content of the stored sequences for an arbitrary finite measurement time , saturates the average maximum extractable work (i.e.…”

Section: Discussionmentioning

confidence: 83%

Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon

Ribezzi-Crivellari

Ritort

2019

J. Stat. Mech.

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In a recent paper we have introduced a continuous version of the Maxwell demon (CMD) that is capable of extracting large amounts of work per cycle by repeated measurements of the state of the system [1]. Here we underline its main features such as the role played by the Landauer limit in the average extracted work, the continuous character of the measurement process and the differences between our continuous Maxwell demon and an autonomous Maxwell demon.We demonstrate the reversal of Landauer's inequality depending on the thermodynamical and mechanical stability of the work extracting substance. We also emphasize the robustness of the Shannon definition of the informationcontent of the stored sequences in the limit where work extraction is maximal and fueled by the large information-content of rare events.

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“…This framework applies to a variety of experimental settings -including optical, atomic, and electronic systems -where continuous quantum feedback control has already been implemented [54,55]. The thermodynamics of such feedback has recently been studied both theoretically [56][57][58] and experimentally [59,60].…”

Section: Introductionmentioning

confidence: 99%

Charging a quantum battery with linear feedback control

Mitchison

Goold

Prior

2021

Quantum

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Energy storage is a basic physical process with many applications. When considering this task at the quantum scale, it becomes important to optimise the non-equilibrium dynamics of energy transfer to the storage device or battery. Here, we tackle this problem using the methods of quantum feedback control. Specifically, we study the deposition of energy into a quantum battery via an auxiliary charger. The latter is a driven-dissipative two-level system subjected to a homodyne measurement whose output signal is fed back linearly into the driving field amplitude. We explore two different control strategies, aiming to stabilise either populations or quantum coherences in the state of the charger. In both cases, linear feedback is shown to counteract the randomising influence of environmental noise and allow for stable and effective battery charging. We analyse the effect of realistic control imprecisions, demonstrating that this good performance survives inefficient measurements and small feedback delays. Our results highlight the potential of continuous feedback for the control of energetic quantities in the quantum regime.

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Thermodynamics of continuous non-Markovian feedback control

Cited by 51 publications

References 34 publications

Entropy production in continuously measured Gaussian quantum systems

Entropy production in continuously measured Gaussian quantum systems

Work extraction, information-content and the Landauer bound in the continuous Maxwell Demon

Charging a quantum battery with linear feedback control

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