Berlin 2014 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 31: Ultracold atoms, ions and BEC III (with A)
Q 31.7: Talk
Wednesday, March 19, 2014, 15:45–16:00, UDL HS3038
On the Validity of the Truncated Wigner Method for Bosonic Many Body Transport — •Thomas Engl1, Julien Dujardin2, Juan Diego Urbina1, Klaus Richter1, and Peter Schlagheck2 — 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 2Département de Physique, Université de Liège, 4000 Liège, Belgium
The Truncated Wigner Method is one of the most frequently used approaches to investigate bosonic many body systems. It is based on the evolution of the Wigner function of the initial state, which is sampled by Gross-Pitaevskii trajectories that are generated by the corresponding mean field Hamiltonian. However, since this is the classical evolution with respect to the quantum Hamiltonian, this method cannot account for interference phenomenons on the many-body quantum level. This concerns in particular coherent backscattering in Fock Space, which arises due to constructive interference of time reversed Gross-Pitaevskii trajectories [1]. Here, we prove the validity of the Truncated Wigner approximation, i.e. the cancellation of quantum many-body interference, for bosonic many-body transport in the semiclassical limit, by extending the semiclassical approach developed in our previous work [1].
T. Engl, J. Dujardin, A. Argüelles, P. Schlagheck, K. Richter and J. D. Urbina, arXiv:1306.3169