Gaussian quantum operator representation for bosons

Corney, J. F. and Drummond, P. D. (2003) Gaussian quantum operator representation for bosons. Physical Review A, 68 6: 063822. doi:10.1103/PhysRevA.68.063822

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Author Corney, J. F.
Drummond, P. D.
Title Gaussian quantum operator representation for bosons
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2003-01-01
Year available 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevA.68.063822
Open Access Status File (Publisher version)
Volume 68
Issue 6
Start page 063822
Total pages 22
Editor B. Crasemann
Place of publication College Park
Publisher American Physical Society
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We introduce a Gaussian quantum operator representation, using the most general possible multimode Gaussian operator basis. The representation unifies and substantially extends existing phase-space representations of density matrices for Bose systems and also includes generalized squeezed-state and thermal bases. It enables first-principles dynamical or equilibrium calculations in quantum many-body systems, with quantum uncertainties appearing as dynamical objects. Any quadratic Liouville equation for the density operator results in a purely deterministic time evolution. Any cubic or quartic master equation can be treated using stochastic methods.
Keyword Physics, Atomic, Molecular & Chemical
Bose-einstein Condensation
Positive-p Representation
Phase-space Methods
Squeezed States
Coherent States
Q-Index Code C1
Institutional Status UQ

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Created: Wed, 15 Aug 2007, 12:04:32 EST