# Classical phase-space approach for coherent matter waves

@article{Impens2010ClassicalPA, title={Classical phase-space approach for coherent matter waves}, author={Franccois Impens and David Gu'ery-Odelin}, journal={Physical Review A}, year={2010}, volume={81}, pages={065602} }

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… Expand

#### 4 Citations

Mean-field Wigner function of Bose–Einstein condensates in the Thomas–Fermi limit

- Physics
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We study the mean-field phase-space distribution of the ground state of an anisotropic, harmonically trapped Bose–Einstein condensate at zero temperature. First, we derive the Fourier transform of… Expand

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We demonstrate tomographic reconstruction of the phase space distribution of atoms oscillating in a harmonic trap with weak potential corrugation caused by nanoscale imperfections in an atom chip. We… Expand

Wigner function of noninteracting trapped fermions

- Physics, Mathematics
- Physical Review A
- 2018

We study analytically the Wigner function W N (x,p) of N noninteracting fermions trapped in a smooth confining potential V (x) in d dimensions. At zero temperature, W N (x,p) is constant over a… Expand

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- 2018

We study the time evolution of an incoherent mixture of quantum states and demonstrate, in very simple terms, a quantum mechanical equivalent of van Cittert–Zernike theorem, which can be easily… Expand

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