Quantum many-body simulations using Gaussian phase-space representations

Details Quantum many-body simulations using Gaussian phase-space representations Quantum many-body simulations using Gaussian phase-space representations

2006-08-31

arxiv.org/abs/quant-ph/0608247v2

Optics and Spectroscopy 103, 7 (2007)

Physics

Quantum Physics

Short Review (10 pages); Corrected typo in eq (14); Added a few more references

Scientific paper

10.1134/S0030400X07070028

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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