Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong-coupling regime

Strasberg, Philipp; Schaller, Gernot; Schmidt, Thomas L.; Esposito, Massimiliano

doi:10.1103/physrevb.97.205405

Cited by 110 publications

(112 citation statements)

References 89 publications

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“…In contrast, small systems may strongly couple to their environment, in the sense that the interaction energy between the system and the bath is comparable to the frequencies of the isolated system. While quantum thermodynamical machines were traditionally analyzed under a strict weak-coupling assumption, it is now recognized that to properly characterize the performance of quantum engines, one must develop methods that are not limited in this respect [21][22][23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Quantum energy exchange and refrigeration: a full-counting statistics approach

Friedman¹,

Agarwalla²,

Segal³

2018

New J. Phys.

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We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or nonadditively (cooperatively) to multiple reservoirs. We derive a Markovian Redfield-type equation for the counting-field dependent reduced density operator. Under the secular approximation, we confirm that the cumulant generating function satisfies the heat exchange fluctuation theorem. Our treatment thus respects the second law of thermodynamics. We exemplify our formalism on a multi-terminal two-level quantum system, and apply it to realize the smallest quantum absorption refrigerator, operating through engineered reservoirs, and achievable only through a cooperative bath interaction model. of the current and subsequent suppression with increasing interaction strength, appears once the system-bath interaction energy becomes comparable to the system's natural frequencies.Physically, strong system-bath interactions are responsible for three-phonon (and more) scattering contributions to thermal transport problems, beyond the weak-coupling resonant term. Alternatively, rather than focusing on the distinction between strong and weak-coupling, one may classify system-bath interaction operators based on whether they are additive or non-additive in the different reservoirs. These two classes of models, additive and non-additive, realize distinctive energy transport characteristics and refrigeration as we show in this work.An autonomous absorption refrigerator transfers thermal energy from a cold bath to a hot bath without an input power by using thermal energy provided from a so-called work reservoir. In a recent study [41], we demonstrated that the smallest system, a qubit, is incapable of operating as a quantum absorption refrigerator (QAR) when the baths are coupled weakly-additively to the system. However, we demonstrated that by coupling the system in a non-additive manner to three heat baths, which are spectrally structured, a cooling function was achieved. Moreover, we showed that the system reached the Carnot bound when the reservoirs were characterized by a single frequency component. This study thus clearly illustrates that non-additive models can bring in a new function, which is missing in additive scenarios. On the other hand, as was pointed out in [41] and illustrated earlier on in [35,36,38], the dynamics of non-additive models can be treated with standard kinetic quantum master equations (QMEs), albeit with a non-additive, baths-cooperative dissipator.The objective of this paper is to present a rigorous, thermodynamically consistent formalism for the calculation of energy exchange (current and cumulants) in additive and non-additive interaction models, thus develop the groundwork of the qubit-QAR presented in [41]. Our formalism utilizes a full-counting statistics (FCS) approach that provides cumulants of energy exchange to all orders [26,[42][43][44][45]. In this method, rather than focusing directly on the averaged heat...

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Section: Introductionmentioning

confidence: 99%

Quantum energy exchange and refrigeration: a full-counting statistics approach

Friedman¹,

Agarwalla²,

Segal³

2018

New J. Phys.

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“…This feedback scheme has been already successfully implemented in experiment [7]. For other experimental and theoretical feedback-related approaches in mesoscopic devices to extract work or to achieve similar objectives we refer to [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Maxwell’s demon in the quantum-Zeno regime and beyond

Engelhardt

Schaller

2018

New J. Phys.

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The long-standing paradigm of Maxwell's demon is till nowadays a frequently investigated issue, which still provides interesting insights into basic physical questions. Considering a single-electron transistor, where we implement a Maxwell demon by a piecewise-constant feedback protocol, we investigate quantum implications of the Maxwell demon. To this end, we harness a dynamical coarsegraining method, which provides a convenient and accurate description of the system dynamics even for high measurement rates. In doing so, we are able to investigate the Maxwell demon in a quantumZeno regime leading to transport blockade. We argue that there is a measurement rate providing an optimal performance. Moreover, we find that besides building up a chemical gradient, there can be also a regime where the feedback loop additionally extracts energy, which results from the energy nonconserving character of the projective measurement.

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“…To the best of the authors' knowledge, this distinguishes the operational approach from other proposals in quantum stochastic thermodynamics. The idea to model everything autonomously is not novel and has been used very successfully to understand the physics of Maxwell's demon [20][21][22][23][24][25][26][27] or the thermodynamics of various forms of information processing [28][29][30]. Of particular inspiration in our context is the approach by Deffner and Jarzynski [29], hence it is also worthwhile to distinguish our approach from it.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach

Strasberg

2020

Quantum

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Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory is defined solely in terms of experimentally accessible measurement results, which serve as the basis to define the corresponding thermodynamic quantities. In contrast to this observer-dependent point of view, a 'black box', which evolves unitarily and can simulate any quantum causal model, is constructed here. The quantum thermodynamics of this big isolated system can then be studied using widely accepted arguments from statistical mechanics. It is shown that the resulting definitions of internal energy, heat, work, and entropy have a natural extension to the trajectory level. The canonical choice of them coincides with the proclaimed definitions of operational quantum stochastic thermodynamics, thereby providing strong support in favour of that novel framework. However, a few remaining ambiguities in the definition of stochastic work and heat are also discovered and in light of these findings some other proposals are reconsidered. Finally, it is demonstrated that the first and second law hold for an even wider range of scenarios than previously thought, covering arbitrary quantum causal models based solely on a single assumption about the initial system-bath state.

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Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong-coupling regime

Cited by 110 publications

References 89 publications

Quantum energy exchange and refrigeration: a full-counting statistics approach

Quantum energy exchange and refrigeration: a full-counting statistics approach

Maxwell’s demon in the quantum-Zeno regime and beyond

Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach

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