Monte Carlo wave functions for nonlinear master equations

E. V. Goldstein, K. Plattner, P. Meystre

Research output: Contribution to conferencePaperpeer-review

Abstract

A generic situation leading to a nonlinear Schrodinger equation description involves the effective single-particle dynamics of a many-particle system coupled by a two-body interaction, and with the many-body wave function truncated via a Hartree-Fock Ansatz. However, if this system is in addition coupled to one, or possibly several reservoirs, such a description is no longer appropriate, and must be superseded by a master equation. It is shown here that a general class of such nonlinear master equations is amenable to Monte Carlo wave function simulations, similarly to the linear case. Their equivalence can be proven if the nonlinear master equation results from a Hartree-Fock factorization scheme and if, in addition, the nonlinear Liouvillian Lnl does not include a 'fill-up' term, all such terms being included in Lr only.

Original languageEnglish (US)
Number of pages1
StatePublished - Jan 1 1996
EventProceedings of the 1996 6th Quantum Electronics and Laser Science Conference, QELS - Anaheim, CA, USA
Duration: Jun 2 1996Jun 7 1996

Other

OtherProceedings of the 1996 6th Quantum Electronics and Laser Science Conference, QELS
CityAnaheim, CA, USA
Period6/2/966/7/96

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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