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Quantum Monte Carlo computation: The sign problem as a Berry phase
journal contribution
posted on 2006-05-03, 17:15 authored by J.H. SamsonThe 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.
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- Science
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653269 bytesCitation
SAMSON, J.H., 1993. Quantum Monte Carlo computation: The sign problem as a Berry phase. Physical Review B, 47(6), pp 3408–3411Publisher
© American Physical SocietyPublication date
1993Notes
This article was published in the journal, Physical Review B [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRB/v47/p3408.ISSN
1098-0121Language
- en