A Perturbative Method for Nonequilibrium Steady State of Open Quantum Systems
書誌事項
- 公開日
- 2015-01
- 資源種別
- journal article
- DOI
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- 10.7566/jpsj.84.014001
- 10.48550/arxiv.1409.0312
- 公開者
- Tokyo : Physical Society of Japan
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説明
We develop a method of calculating the nonequilibrium steady state (NESS) of an open quantum system that is weakly coupled to reservoirs in different equilibrium states. We describe the system using a Redfield-type quantum master equation (QME). We decompose the Redfield QME into a Lindblad-type QME and the remaining part $\mathcal{R}$. Regarding the steady state of the Lindblad QME as the unperturbed solution, we perform a perturbative calculation with respect to $\mathcal{R}$ to obtain the NESS of the Redfield QME. The NESS thus determined is exact up to the first order in the system-reservoir coupling strength (pump/loss rate), which is the same as the order of validity of the QME. An advantage of the proposed method in numerical computation is its applicability to systems larger than those in methods of directly solving the original Redfield QME. We apply the method to a noninteracting fermion system to obtain an analytical expression of the NESS density matrix. We also numerically demonstrate the method in a nonequilibrium quantum spin chain.
15 pages, 3 figures. To appear in J. Phys. Soc. Jpn
収録刊行物
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 84 (1), 014001-, 2015-01
Tokyo : Physical Society of Japan
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詳細情報 詳細情報について
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- CRID
- 1523669555083190784
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- NII論文ID
- 40020325414
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- NII書誌ID
- AA00704814
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- ISSN
- 00319015
- 13474073
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- NDL書誌ID
- 026033347
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- 本文言語コード
- en
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- 資料種別
- journal article
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- NDL 雑誌分類
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- ZM35(科学技術--物理学)
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