A quantum Monte Carlo algorithm realizing an intrinsic relaxation

Tota Nakamura, Yoshiyuki Ito

研究成果: Article査読

12 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2405-2408
ページ数4
ジャーナルjournal of the physical society of japan
72
10
DOI
出版ステータスPublished - 2003 10
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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