A quantum Monte Carlo algorithm realizing an intrinsic relaxation

Tota Nakamura, Yoshiyuki Ito

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2405-2408
Number of pages4
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - 2003 Oct
Externally publishedYes


  • Nonequilibrium relaxation method
  • Quantum Monte Carlo method
  • Quantum dynamics
  • Transverse-field Ising model

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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