Auxiliary master equation approach within stochastic wave functions

Research output: Contribution to conferencePosterResearch

Abstract

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.

[1] E. Arrigoni, M. Knap, and W. von der Linden, Phys. Rev. Lett. 110, 086403 (2013).
[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
https://www.sfb-vicom.at/events/conference-2018-from-electrons-to-phase-transitions-2018/

Conference

ConferenceFrom Electrons to Phase Transitions 2018
Abbreviated titleEPT 2018
CountryAustria
CityVienna
Period4/04/186/04/18
Internet address

Fingerprint

wave functions
theses
stochastic processes
sampling
operators
impurities
molecules

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fields of Expertise

  • Advanced Materials Science

Cite this

Fugger, D. M., Sorantin, M. E., Dorda, A., von der Linden, W., & Arrigoni, E. (2018). Auxiliary master equation approach within stochastic wave functions. Poster session presented at From Electrons to Phase Transitions 2018, Vienna, Austria.

Auxiliary master equation approach within stochastic wave functions. / Fugger, Delia Maria; Sorantin, Max Erich; Dorda, Antonius; von der Linden, Wolfgang; Arrigoni, Enrico.

2018. Poster session presented at From Electrons to Phase Transitions 2018, Vienna, Austria.

Research output: Contribution to conferencePosterResearch

Fugger, DM, Sorantin, ME, Dorda, A, von der Linden, W & Arrigoni, E 2018, 'Auxiliary master equation approach within stochastic wave functions' From Electrons to Phase Transitions 2018, Vienna, Austria, 4/04/18 - 6/04/18, .
Fugger DM, Sorantin ME, Dorda A, von der Linden W, Arrigoni E. Auxiliary master equation approach within stochastic wave functions. 2018. Poster session presented at From Electrons to Phase Transitions 2018, Vienna, Austria.
Fugger, Delia Maria ; Sorantin, Max Erich ; Dorda, Antonius ; von der Linden, Wolfgang ; Arrigoni, Enrico. / Auxiliary master equation approach within stochastic wave functions. Poster session presented at From Electrons to Phase Transitions 2018, Vienna, Austria.
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