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Quantum Monte Carlo computation: The sign problem as a Berry phase

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journal contribution
posted on 2006-05-03, 17:15 authored by J.H. Samson
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.

History

School

  • Science

Department

  • Physics

Pages

653269 bytes

Citation

SAMSON, J.H., 1993. Quantum Monte Carlo computation: The sign problem as a Berry phase. Physical Review B, 47(6), pp 3408–3411

Publisher

© American Physical Society

Publication date

1993

Notes

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

1098-0121

Language

  • en

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