A Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation

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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.

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