QUANTUM MONTE-CARLO COMPUTATION - THE SIGN PROBLEM AS A BERRY PHASE

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关键词: HUBBARD-MODEL;    NUMERICAL-SIMULATION;   

DOI  :  10.1103/PhysRevB.47.3408

来源: SCIE

【 摘 要 】

The partition function of interacting electrons is often represented as that of noninteracting electrons moving in a stochastic time-dependent field, integrated over the field. Quantum Monte Carlo computation of this functional integral suffers from the sign problem: rapid oscillation of the sign of the integrand at low temperature. The integrand is in general complex: the phase tends to a Berry phase for smooth paths at low temperatures, where spins follow fields adiabatically, and to zero in the high-temperature limit, recovering the static approximation.

【 授权许可】

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