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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2010

Classical phase-space approach for coherent matter waves

Résumé

We investigate a classical phase-space approach of matter-wave propagation based on the truncated Wigner equation (TWE). We show that such a description is suitable for ideal matter waves in quadratic time-dependent confinement as well as for harmonically trapped Bose-Einstein condensates in the Thomas-Fermi regime. In arbitrary interacting regimes, the TWE combined with the moment method yields the low-energy spectrum of a condensate as predicted by independent variational methods. TWE also gives the right breathing-mode frequency for long-ranged interactions decaying as 1/r(2) in three dimensions and for a contact potential in two dimensions. Quantum signatures, beyond the TWE, may only be found in the condensate dynamics beyond the regimes of classical phase-space propagation identified here.

Dates et versions

hal-00910162 , version 1 (27-11-2013)

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François Impens, David Guéry-Odelin. Classical phase-space approach for coherent matter waves. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2010, 81 (6), 065602 [4 p.]. ⟨10.1103/PhysRevA.81.065602⟩. ⟨hal-00910162⟩
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