Thermodynamic resource theories, non-commutativity and maximum entropy principles

Lostaglio, Matteo; Jennings, David; Rudolph, Terry

doi:10.1088/1367-2630/aa617f

Cited by 101 publications

(115 citation statements)

References 34 publications

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“…Since the initial arXiv release of this paper, in 2014, this noncommutation has studied [29][30][31]. Further works have build on this foundation (e.g., [32][33][34]).…”

Section: A Noncommutationmentioning

confidence: 99%

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Beyond heat baths II: framework for generalized thermodynamic resource theories

Halpern¹

2018

J. Phys. A: Math. Theor.

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Thermodynamics, which describes vast systems, has been reconciled with small scales, relevant to single-molecule experiments, in resource theories. Resource theories have been used to model exchanges of energy and information. Recently, particle exchanges were modeled; and an umbrella family of thermodynamic resource theories was proposed to model diverse baths, interactions, and free energies. This paper motivates and details the family's structure and prospective applications. How to model electrochemical, gravitational, magnetic, and other thermodynamic systems is explained. Szilárd's engine and Landauer's Principle are generalized, as resourcefulness is shown to be convertible not only between information and gravitational energy, but also among diverse degrees of freedom. Extensive variables are associated with quantum operators that might fail to commute, introducing extra nonclassicality into thermodynamic resource theories. An early version of this paper partially motivated the later development of noncommutative thermalization. This generalization expands the theories' potential for modeling realistic systems with which small-scale statistical mechanics might be tested experimentally.

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“…Since the initial arXiv release of this paper, in 2014, this noncommutation has studied [29][30][31]. Further works have build on this foundation (e.g., [32][33][34]).…”

Section: A Noncommutationmentioning

confidence: 99%

“…Opportunities include noncommuting operators that model extensive variables. Since this paper was first released, in 2014, the theory of such noncommutation has been developed [29][30][31]. Further works (e.g., [32][33][34]) have built on these foundations.…”

Section: Introductionmentioning

confidence: 99%

Beyond heat baths II: framework for generalized thermodynamic resource theories

Halpern¹

2018

J. Phys. A: Math. Theor.

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“…At atomic scales and low temperatures, quantum mechanics takes over, and concepts of classical thermodynamics may need to be modified [1][2][3][4][5]. This is not only of pure theoretical interest but has immediate consequences in the context of recent progress in fabricating and controlling thermal quantum devices [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Non-Markovian dynamics of a quantum heat engine: out-of-equilibrium operation and thermal coupling control

2020

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Real quantum heat engines lack the separation of time and length scales that is characteristic for classical engines. They must be understood as open quantum systems in non-equilibrium with timecontrolled coupling to thermal reservoirs as integral part. Here, we present a systematic approach to describe a broad class of engines and protocols beyond conventional weak coupling treatments starting from a microscopic modeling. For the four stroke Otto engine the full dynamical range down to low temperatures is explored and the crucial role of the work associated with the coupling/decoupling to/from reservoirs as an integral part in the energy balance is revealed. Quantum correlations turn out to be instrumental to enhance the efficiency which opens new ways for optimal control techniques. OPEN ACCESS RECEIVED

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“…Here, these considerations only concern the scenario of minimal autonomous clocks, i.e., where the resources exploited to operate the clock are simply two thermal baths at different temperatures. While these arguably represent the most abundant resources found in nature [25], it would be interesting to consider other quantum systems, e.g., with multiple conserved quantities [33][34][35][36]. More broadly, the relevant question is to what extent our choice of free resources impacts our ability to measure time.…”

Section: Discussionmentioning

confidence: 99%

The Thermodynamic Cost of Measuring Time

Short

2017

Physics

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Time remains one of the least well-understood concepts in physics, most notably in quantum mechanics. A central goal is to find the fundamental limits of measuring time. One of the main obstacles is the fact that time is not an observable and thus has to be measured indirectly. Here, we explore these questions by introducing a model of time measurements that is complete and autonomous. Specifically, our autonomous quantum clock consists of a system out of thermal equilibrium-a prerequisite for any system to function as a clock-powered by minimal resources, namely, two thermal baths at different temperatures. Through a detailed analysis of this specific clock model, we find that the laws of thermodynamics dictate a trade-off between the amount of dissipated heat and the clock's performance in terms of its accuracy and resolution. Our results furthermore imply that a fundamental entropy production is associated with the operation of any autonomous quantum clock, assuming that quantum machines cannot achieve perfect efficiency at finite power. More generally, autonomous clocks provide a natural framework for the exploration of fundamental questions about time in quantum theory and beyond.

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Thermodynamic resource theories, non-commutativity and maximum entropy principles

Cited by 101 publications

References 34 publications

Beyond heat baths II: framework for generalized thermodynamic resource theories

Beyond heat baths II: framework for generalized thermodynamic resource theories

Non-Markovian dynamics of a quantum heat engine: out-of-equilibrium operation and thermal coupling control

The Thermodynamic Cost of Measuring Time

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