Berlin 2018 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 15: Dual-Method Approaches to Quantum Many-Body Systems I

TT 15.14: Vortrag

Montag, 12. März 2018, 18:30–18:45, H 0104

Auxiliary master equation approach within stochastic wave functions — •Delia Fugger, Max Sorantin, Antonius Dorda, Wolfgang von der Linden, and Enrico Arrigoni — Institute of Theoretical and Computational Physics, Graz University of Technology, Austria

The auxiliary master equation approach AMEA [1,2] allows us to assess the time evolution and, in particular, the steady state properties of quantum impurities and small molecules in as well as out of equilibrium. It is based on a mapping of the physical system to an auxiliary open quantum system, whose dynamics is determined by a Lindblad master equation. In this talk I will present results obtained from a scheme to address the resulting Lindblad equation based on the stochastic evolution of the wave function [3-6]. A set of wave functions sampling the density operator is propagated by piecewise deterministic time evolutions, which are interrupted by stochastic jump processes [6]. This implementation aims at extending the capabilities of the AMEA approach as well as making it more efficient.
E. Arrigoni etal., PRL 110, 086403 (2013)
A. Dorda etal., PRB 89, 165105 (2014) + PRB 92, 125145 (2015)
J. Dalibard etal., PRL 68, 580 (1992)
K. Mølmer etal., J. Opt. Soc. Am. B 10, 524 (1993)
H.-P. Breuer etal., PRA 56, 2334 (1997)
B. Kappler, PhD thesis, University of Freiburg (1998)

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