Symplectic tomography of ultracold gases in tight-waveguides

Details Symplectic tomography of ultracold gases in tight-waveguides Symplectic tomography of ultracold gases in tight-waveguides

2008-03-28

arxiv.org/abs/0803.4158v3

Phys. Rev. A 78, 025602 (2008)

Physics

Quantum Physics

5 pages, no figures

Scientific paper

10.1103/PhysRevA.78.025602

The phase space is the natural ground to smoothly extrapolate between local and non-local correlation functions. With this objective, we introduce the symplectic tomography of many-body quantum gases in tight-waveguides, and concentrate on the reduced single-particle symplectic tomogram (RSPST) whose marginals are the density profile and momentum distribution. We present an operational approach to measure the RSPST from the time evolution of the density profile after shutting off the interactions in a variety of relevant situations: free expansion, fall under gravity, and oscillations in a harmonic trap. From the RSPST, the one-body density matrix of the trapped state can be reconstructed.

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