Noncanonical statistics of a finite quantum system with non-negligible system-bath coupling

D. Z. Xu; Sheng Wen Li; X. F. Liu; C. P. Sun

doi:10.1103/PhysRevE.90.062125

Noncanonical statistics of a finite quantum system with non-negligible system-bath coupling

D. Z. Xu^*
, Sheng Wen Li
, X. F. Liu
, C. P. Sun

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

The canonical statistics describes the statistical properties of an open system by assuming its coupling with the heat bath is infinitesimal in comparison with the total energy in thermodynamic limit. In this paper, we generally derive a noncanonical density matrix for the open system with a finite coupling to the heat bath, which deforms the energy shell to effectively modify the conventional canonical way. The obtained noncanonical distribution reflects the back action of system on the bath and thus depicts the statistical correlations between two subsystems by the mutual information as a result of energy conservation.

Original language	English
Article number	062125
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	90
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.90.062125
Publication status	Published - 17 Dec 2014
Externally published	Yes

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10.1103/PhysRevE.90.062125

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abstract = "The canonical statistics describes the statistical properties of an open system by assuming its coupling with the heat bath is infinitesimal in comparison with the total energy in thermodynamic limit. In this paper, we generally derive a noncanonical density matrix for the open system with a finite coupling to the heat bath, which deforms the energy shell to effectively modify the conventional canonical way. The obtained noncanonical distribution reflects the back action of system on the bath and thus depicts the statistical correlations between two subsystems by the mutual information as a result of energy conservation.",

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PY - 2014/12/17

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N2 - The canonical statistics describes the statistical properties of an open system by assuming its coupling with the heat bath is infinitesimal in comparison with the total energy in thermodynamic limit. In this paper, we generally derive a noncanonical density matrix for the open system with a finite coupling to the heat bath, which deforms the energy shell to effectively modify the conventional canonical way. The obtained noncanonical distribution reflects the back action of system on the bath and thus depicts the statistical correlations between two subsystems by the mutual information as a result of energy conservation.

AB - The canonical statistics describes the statistical properties of an open system by assuming its coupling with the heat bath is infinitesimal in comparison with the total energy in thermodynamic limit. In this paper, we generally derive a noncanonical density matrix for the open system with a finite coupling to the heat bath, which deforms the energy shell to effectively modify the conventional canonical way. The obtained noncanonical distribution reflects the back action of system on the bath and thus depicts the statistical correlations between two subsystems by the mutual information as a result of energy conservation.

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Noncanonical statistics of a finite quantum system with non-negligible system-bath coupling

Abstract

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