Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations
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Lee-2012-Noncanonical statistics of a spin-boson model.pdf
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Author(s)
Lee, Chee Kong
Cao, Jianshu
Gong, Jiangbin
Date Issued
August 2012
Journal
Physical Review E
Publisher
American Physical Society
Citation
Lee, Chee, Jianshu Cao, and Jiangbin Gong. “Noncanonical Statistics of a Spin-boson Model: Theory and Exact Monte Carlo Simulations.” Physical Review E 86.2 (2012). ©2012 American Physical Society
Version
Final published version
Abstract
Equilibrium canonical distribution in statistical mechanics assumes weak system-bath coupling (SBC). In real physical situations this assumption can be invalid, and equilibrium quantum statistics of the system may be noncanonical. By exploiting both polaron transformation and perturbation theory in a spin-boson model, an analytical treatment is advocated to study noncanonical statistics of a two-level system at arbitrary temperature and for arbitrary SBC strength, yielding theoretical results in agreement with exact Monte Carlo simulations. In particular, the eigen-representation of system's reduced density matrix is used to quantify noncanonical statistics as well as the quantumness of the open system. For example, it is found that irrespective of SBC strength, noncanonical statistics enhances as temperature decreases but vanishes at high temperature.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.86.021109
