A Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation
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- Nakamura Tota
- Department of Applied Physics, Tohoku University
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- Ito Yoshiyuki
- Department of Applied Physics, Tohoku University
書誌事項
- タイトル別名
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- Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation
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We propose a new quantum Monte Carlo algorithm that realizes a relaxation intrinsic to an original quantum system. The Monte Carlo dynamics satisfies the dynamic scaling relation τ∼ξz and is independent of the Trotter number. The finiteness of the Trotter number appears as the finite-size effect. An infinite Trotter number version of the algorithm, which enables us to observe a true relaxation of the original system, is also formulated. The strategy of the algorithm is a compromise between a conventional worldline local flip and a modern cluster loop flip. It is a local flip in the real-space direction and is a cluster flip in the Trotter direction. The new algorithm is tested using the transverse-field Ising model in two dimensions. An accurate phase diagram is obtained.
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 72 (10), 2405-2408, 2003
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679163201920
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- NII論文ID
- 110001954238
- 210000104461
- 130004538304
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- NII書誌ID
- AA00704814
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- BIBCODE
- 2003JPSJ...72.2405N
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- ISSN
- 13474073
- 00319015
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- NDL書誌ID
- 6713248
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可