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arXiv · 1403.0629

Out of equilibrium thermodynamics of quantum harmonic chains

Abstract

The thermodynamic implications for the out-of-equilibrium dynamics of quantum systems are to date largely unexplored, especially for quantum many-body systems. In this paper we investigate the paradigmatic case of an array of nearest-neighbor coupled quantum harmonic oscillators interacting with a thermal bath and subjected to a quench of the inter-oscillator coupling strength. We study the work done on the system and its irreversible counterpart, and characterize analytically the fluctuation relations of the ensuing out-of-equilibrium dynamics. Finally, we showcase an interesting functional link between the dissipated work produced across a two-element chain and their degree of general quantum correlations. Our results suggest that, for the specific model at hand, the non-classical features of a harmonic system can influence significantly its thermodynamics.

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A. Carlisle, L. Mazzola, M. Campisi, J. Goold, F. L. Semião, A. Ferraro, F. Plastina, V. Vedral, G. De Chiara, M. Paternostro. 2014-03-03. Out of equilibrium thermodynamics of quantum harmonic chains. https://arxiv.org/abs/1403.0629

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