Kim<i>et al.</i>Reply:

Kim, Sang Wook; Kim, Kang-Hwan; Sagawa, Takahiro; Liberato, Simone De; Ueda, Masahito

doi:10.1103/physrevlett.111.188902

Cited by 57 publications

(91 citation statements)

References 2 publications

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“…The optimal condition obtained above is equally applicable to both classical and quantum mechanics since the work formula (1) mathematically has equivalent form [13]. In [29], however, in the quantum SZE the optimal work is not achieved at the force balance where the classical SZE is optimal. It raises a question on where such difference comes from.…”

Section: Optimal Conditionmentioning

confidence: 91%

“…, is satisfied. It is not optimal and even worse in extracting work to stop the wall at the force balance [29] originally proposed in [12]. At this time, the right and left sides are completely separated, and the total Hamiltonian H can be written as = + H H H L R , where ( ) H L R denotes the Hamiltonian describing only the left (right) side.…”

Section: Inevitable Irrevesibilitymentioning

confidence: 99%

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Optimal work of the quantum Szilard engine under isothermal processes with inevitable irreversibility

Jeon

Kim

2016

New J. Phys.

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We have found the optimal conditions for work performed by the quantum Szilard engine (SZE) containing multi-particles under isothermal processes with inevitable irreversibility. We define the restorability as the probability that the reversibility of an engine with inevitable irreversibility is achieved when the time-backward process is performed. The optimal condition is then obtained when the restorability is maximized. This is equivalent to the condition that the time-forward force is equal to the time-backward force. We numerically confirm our expectation by using the quantum SZE containing three bosons or fermions.

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Section: Optimal Conditionmentioning

confidence: 91%

Section: Inevitable Irrevesibilitymentioning

confidence: 99%

Optimal work of the quantum Szilard engine under isothermal processes with inevitable irreversibility

Jeon

Kim

2016

New J. Phys.

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“…The arguments for using only orthogonal states are based on the standard theory of probability (see for instance Secs 4.5 and 4.6 of Ref. [27] and Ref [28]), and on the relationship between information theory and thermodynamics [29][30][31][32][33][34][35][36][37].…”

Section: A Description Of the Ensemblesmentioning

confidence: 99%

“…Consider then that the total Hilbert space H is equal to the tensor product of the Hilbert spaces describing the corresponding subsystems, i.e., 37) with dimensions n 1 , n 2 , · · · , n m (for simplicity we assume the case of finite-dimensional quantum systems). The dimension of H is thus given by n = n 1 · · · n m .…”

Section: Thermodynamical Properties Of the Schrödinger-gibbs Distrmentioning

confidence: 99%

Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble

et al. 2015

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Schrodinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamiltonian operator) are the only allowed states for a quantum system [E. Schrodinger, Statistical Thermodynamics (Courier Dover, Mineola, 1967)]. Different authors have interpreted this statement by introducing density distributions on the space of quantum pure states with weights obtained as functions of the expectation value of the Hamiltonian of the system.In this work we focus on one of the best known of these distributions, and we prove that, when considered in composite quantum systems, it defines partition functions that do not factorize as products of partition functions of the noninteracting subsystems, even in the thermodynamical regime. This implies that it is not possible to define extensive thermodynamical magnitudes such as the free energy, the internal energy or the thermodynamic entropy by using these models. Therefore, we conclude that this distribution inspired by Schrödinger's idea can not be used to construct an appropriate quantum equilibrium thermodynamics.

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“…8 performed analysis of a SZE with more than one particle, bringing the role of particle statistics into focus. This work was further discussed in910. In11 a SZE utilizing purely quantum information was researched.…”

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confidence: 99%

Maxwell's Daemon: Information versus Particle Statistics

Plesch

Dahlsten

Goold

et al. 2014

Sci Rep

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Maxwell's daemon is a popular personification of a principle connecting information gain and extractable work in thermodynamics. A Szilard Engine is a particular hypothetical realization of Maxwell's daemon, which is able to extract work from a single thermal reservoir by measuring the position of particle(s) within the system. Here we investigate the role of particle statistics in the whole process; namely, how the extractable work changes if instead of classical particles fermions or bosons are used as the working medium. We give a unifying argument for the optimal work in the different cases: the extractable work is determined solely by the information gain of the initial measurement, as measured by the mutual information, regardless of the number and type of particles which constitute the working substance.

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Kimet al.Reply:

Cited by 57 publications

References 2 publications

Optimal work of the quantum Szilard engine under isothermal processes with inevitable irreversibility

Optimal work of the quantum Szilard engine under isothermal processes with inevitable irreversibility

Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble

Maxwell's Daemon: Information versus Particle Statistics

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