TY - JOUR
T1 - A quantum Monte Carlo algorithm realizing an intrinsic relaxation
AU - Nakamura, Tota
AU - Ito, Yoshiyuki
PY - 2003/10
Y1 - 2003/10
N2 - 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.
AB - 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.
KW - Nonequilibrium relaxation method
KW - Quantum Monte Carlo method
KW - Quantum dynamics
KW - Transverse-field Ising model
UR - http://www.scopus.com/inward/record.url?scp=0242541689&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0242541689&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.72.2405
DO - 10.1143/JPSJ.72.2405
M3 - Article
AN - SCOPUS:0242541689
VL - 72
SP - 2405
EP - 2408
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 10
ER -