Interference of identical particles and the quantum work distribution

Gong, Zongping; Deffner, Sebastian; Quan, H. T.

doi:10.1103/physreve.90.062121

Cited by 40 publications

(44 citation statements)

References 91 publications

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“…Finally, to determine the time evolved density operator we further require the proper two particle evolution operator. It can be shown that in energy representation the two particle propagator is the symmetric (for bosons) or antisymmetric (for fermions) linear combination of single particle propagators [71]. The same is true in position representation (see Appendix B for a full derivation),…”

Section: Preliminariesmentioning

confidence: 85%

Bosons outperform fermions: The thermodynamic advantage of symmetry

Myers

Deffner

2020

Phys. Rev. E

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We examine a quantum Otto engine with a harmonic working medium consisting of two particles to explore the use of wave function symmetry as an accessible resource. It is shown that the bosonic system displays enhanced performance when compared to two independent single particle engines, while the fermionic system displays reduced performance. To this end, we explore the trade-off between efficiency and power output and the parameter regimes under which the system functions as engine, refrigerator, or heater. Remarkably, the bosonic system operates under a wider parameter space both when operating as an engine and as a refrigerator.

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Section: Preliminariesmentioning

confidence: 85%

Bosons outperform fermions: The thermodynamic advantage of symmetry

Myers

Deffner

2020

Phys. Rev. E

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“…In the context of quantum thermal machines, the interplay between statistics and engine performance needs more study [158,219]. This is crucial since typical work fluids of quantum thermal machines constitute several particles.…”

Section: Discussion and Open Questionsmentioning

confidence: 99%

Quantum thermodynamics

Vinjanampathy¹,

Anders²

2016

Contemporary Physics

910

806

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Quantum thermodynamics is an emerging research field aiming to extend standard thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below the thermodynamic limit, in non-equilibrium situations, and with the full inclusion of quantum effects. Fueled by experimental advances and the potential of future nanoscale applications this research effort is pursued by scientists with different backgrounds, including statistical physics, many-body theory, mesoscopic physics and quantum information theory, who bring various tools and methods to the field. A multitude of theoretical questions are being addressed ranging from issues of thermalisation of quantum systems and various definitions of "work", to the efficiency and power of quantum engines. This overview provides a perspective on a selection of these current trends accessible to postgraduate students and researchers alike.

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“…Nevertheless, for quantum many-body systems, the correspondence between quantum and classical work distributions has not been studied so far. The indistinguishability of identical particles [27,28] and the interaction makes the properties of quantum work even more elusive. Also, the nonequilibrium dynamic evolution of a quantum manybody system is extremely difficult to solve.…”

Section: Introductionmentioning

confidence: 99%

Understanding quantum work in a quantum many-body system

Wang

Quan

2017

Phys. Rev. E

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Based on previous studies in a single-particle system in both the integrable [Jarzynski, Quan, and Rahav, Phys. Rev. X 5, 031038 (2015)] and the chaotic systems [Zhu, Gong, Wu, and Quan, Phys. Rev. E 93, 062108 (2016)], we study the the correspondence principle between quantum and classical work distributions in a quantum many-body system. Even though the interaction and the indistinguishability of identical particles increase the complexity of the system, we find that for a quantum many-body system the quantum work distribution still converges to its classical counterpart in the semiclassical limit. Our results imply that there exists a correspondence principle between quantum and classical work distributions in an interacting quantum many-body system, especially in the large particle number limit, and further justify the definition of quantum work via two-point energy measurements in quantum many-body systems.

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Interference of identical particles and the quantum work distribution

Cited by 40 publications

References 91 publications

Bosons outperform fermions: The thermodynamic advantage of symmetry

Bosons outperform fermions: The thermodynamic advantage of symmetry

Quantum thermodynamics

Understanding quantum work in a quantum many-body system

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