Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 1: Statistical physics I (general)
DY 1.5: Vortrag
Montag, 23. März 2009, 11:45–12:00, HÜL 386
Quench Dynamics of Harmonically Trapped Free Bosons — •Oliver Gabel1 and Axel Pelster1,2 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Fachbereich Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany
Within the path-integral formulation of density matrices we calculate the effect of a sudden quench of the trap frequency for N harmonically confined free bosons which are, originally, in thermal equilibrium. In order to derive the corresponding reduced one-particle density matrix, we explicitly integrate out N−1 irrelevant degrees of freedom in the N-particle density matrix. This yields a difference equation for the non-equilibrium contributions of the respective permutation cycles. Finally, we discuss the resulting explicit expressions in view of the emerging collective oscillations.