Düsseldorf 2007 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 64: Poster Quantengase
Q 64.8: Poster
Donnerstag, 22. März 2007, 16:30–18:30, Poster C
Perturbative corrections to the numerical truncated Wigner representation — •Bettina Berg, Lev Plimak, and Wolfgang P. Schleich — Institut für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany
We investigate perturbative corrections to the truncated Wigner representation for nonlinear bosons interacting via a quartic potential. Our scheme includes the third-order-noise correction to the "Langevin" equation in the phase space. Unlike the method developed recently by Polkovnikov [1], our approach allows for corrections to multi-time averages, giving access to spectra and similar characteristics of the quantum system. We present the results for the nonlinear oscillator and for two nonlinear oscillators coupled by a Josephson junction.
[1] Anatoli Polkovnikov, Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation, Phys. Rev. A 68, 053604 (2003).