2008/03/31 by Adolfo del Campo, A. del Campo, V. I. Manʹko +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Density matrix #Measure (data warehouse) #Optics #Phase space #Physics #Quantum #Quantum mechanics #Quantum state #Quantum tomography #Quantum, superfluid, helium dynamics #Symplectic geometry #Tomography #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.78.025602
published as Phys. Rev. A 78, 025602 (2008) · 5 pages, no figures
arxiv created 2008/07/04 · openalex publication_date 2008/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.