arXiv:0803.4158 · Physical Review A

Symplectic tomography of ultracold gases in tight waveguides

Adolfo del Campo, Vladimir I. Man’ko, Giuseppe Marmo

Published Aug 13, 2008• 11 citations

Abstract

The phase space is the natural ground to smoothly extrapolate between local and nonlocal 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.

DOI: 10.1103/physreva.78.025602

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