Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations
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...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/74171 https://orcid.org/0000-0001-7616-7809 |
| _version_ | 1826211207827161088 |
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| author | Lee, Chee Kong Cao, Jianshu Gong, Jiangbin |
| author2 | Massachusetts Institute of Technology. Department of Chemistry |
| author_facet | Massachusetts Institute of Technology. Department of Chemistry Lee, Chee Kong Cao, Jianshu Gong, Jiangbin |
| author_sort | Lee, Chee Kong |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T15:02:16Z |
| format | Article |
| id | mit-1721.1/74171 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:02:16Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/741712022-09-29T12:12:22Z Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations Lee, Chee Kong Cao, Jianshu Gong, Jiangbin Massachusetts Institute of Technology. Department of Chemistry Cao, Jianshu 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. 2012-10-22T13:52:15Z 2012-10-22T13:52:15Z 2012-08 2012-04 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/74171 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 https://orcid.org/0000-0001-7616-7809 en_US http://dx.doi.org/10.1103/PhysRevE.86.021109 Physical Review E 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. application/pdf American Physical Society APS |
| spellingShingle | Lee, Chee Kong Cao, Jianshu Gong, Jiangbin Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title | Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title_full | Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title_fullStr | Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title_full_unstemmed | Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title_short | Noncanonical statistics of a spin-boson model: Theory and exact Monte Carlo simulations |
| title_sort | noncanonical statistics of a spin boson model theory and exact monte carlo simulations |
| url | http://hdl.handle.net/1721.1/74171 https://orcid.org/0000-0001-7616-7809 |
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