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Quantum many-body simulations using Gaussian phase-space representations

P. D. Drummond·P. Deuar·J. F. Corney
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Abstract

Phase-space representations are of increasing importance as a viable and successful means to study exponentially complex quantum many-body systems from first principles. This review traces the background of these methods, starting from the early work of Wigner, Glauber and Sudarshan. We focus on modern phase-space approaches using non-classical phase-space representations. These lead to the Gaussian representation, which unifies bosonic and fermionic phase-space. Examples treated include quantum solitons in optical fibers, colliding Bose-Einstein condensates, and strongly correlated fermions on lattices.

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P. D. Drummond, P. Deuar, J. F. Corney. 2006-09-08. Quantum many-body simulations using Gaussian phase-space representations. https://doi.org/10.1134/s0030400x07070028

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