Monte Carlo wave functions for nonlinear master equations

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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is in addition coupled to one, or possibly several reservoirs, such a description is no longer appropriate, and must be superseded by a master equation.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)
Title of host publicationConference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series
PublisherIEEE
Pages145
Number of pages1
Volume9
StatePublished - 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

Fingerprint

nonlinear equations
wave functions
factorization
equivalence
simulation
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Goldstein, E. V., Plattner, K., & Meystre, P. (1996). Monte Carlo wave functions for nonlinear master equations. In Conference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series (Vol. 9, pp. 145). IEEE.

Monte Carlo wave functions for nonlinear master equations. / Goldstein, E. V.; Plattner, K.; Meystre, Pierre.

Conference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series. Vol. 9 IEEE, 1996. p. 145.

Research output: Chapter in Book/Report/Conference proceedingChapter

Goldstein, EV, Plattner, K & Meystre, P 1996, Monte Carlo wave functions for nonlinear master equations. in Conference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series. vol. 9, IEEE, pp. 145, Proceedings of the 1996 6th Quantum Electronics and Laser Science Conference, QELS, Anaheim, CA, USA, 6/2/96.
Goldstein EV, Plattner K, Meystre P. Monte Carlo wave functions for nonlinear master equations. In Conference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series. Vol. 9. IEEE. 1996. p. 145
Goldstein, E. V. ; Plattner, K. ; Meystre, Pierre. / Monte Carlo wave functions for nonlinear master equations. Conference on Quantum Electronics and Laser Science (QELS) - Technical Digest Series. Vol. 9 IEEE, 1996. pp. 145
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