Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Quantum Dynamics, Decoherence and Quanten Information
DY 23.3: Vortrag
Dienstag, 8. März 2016, 14:30–14:45, H48
Lindblad dynamics of Gaussian states in the semiclassical limit — •Bradley Longstaff1, Eva-Maria Graefe1, and Roman Schubert2 — 1Imperial College London, UK — 2University of Bristol, UK
The time evolution of wave packets forms the basis of many semiclassical methods for closed systems. An important ingredient is Heller's method in which the centre of a wave packet moves along a classical trajectory and the width follows a linearised classical flow. Here this method is extended to open systems described by the Lindblad equation. By considering Gaussian Wigner functions, semiclassical equations of motion are derived for both the centre of the wave packet and the covariance matrix. The approximation is exact for maximally quadratic Hamiltonians and linear Lindblad operators. As an illustration, the Gross-Pitaevskii equation for a Bose-Einstein condensate in an optical lattice with particle losses is derived.