Auxiliary master equation approach within stochastic wave functions

Delia Maria Fugger, Max Erich Sorantin, Antonius Dorda, Wolfgang von der Linden, Enrico Arrigoni

Research output: Contribution to conferencePoster


The auxiliary master equation approach AMEA [1–3] 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 poster I will present results obtained from a scheme to address the resulting Lindblad equation based on the stochastic evolution of the wave function [4–7]. A set of wave functions sampling the density operator is propagated by piecewise deterministic time evolutions, which are interrupted by stochastic jump processes [7]. This implementation aims at extending the capabilities of the AMEA approach as well as making it more efficient.

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[2] A. Dorda, M. Nuss, W. von der Linden, and E. Arrigoni, Phys. Rev. B 89, 165105 (2014).
[3] A. Dorda, M. Ganahl, H. G. Evertz, W. von der Linden, and E. Arrigoni, Phys. Rev. B 92, 125145 (2015).
[4] J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. 68, 580 (1992).
[5] K. Mølmer, Y. Castin, and J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993).
[6] H.-P. Breuer, B. Kappler, and F. Petruccione, Phys. Rev. A 56, 2334 (1997).
[7] B. Kappler, Ph.D. thesis, Albert-Ludwigs-Universität Freiburg (1998).
Original languageEnglish
Publication statusPublished - 5 Apr 2018
EventFrom Electrons to Phase Transitions 2018 - Christian Doppler lecture hall, Faculty of Physics, Strudlhofgasse 4/Boltzmanngasse 5, 1090 Vienna , Vienna, Austria
Duration: 4 Apr 20186 Apr 2018


ConferenceFrom Electrons to Phase Transitions 2018
Abbreviated titleEPT 2018
Internet address

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fields of Expertise

  • Advanced Materials Science

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