Auxiliary master equation approach within stochastic wave functions

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

Auxiliary master equation approach within stochastic wave functions

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

Institut für Theoretische Physik - Computational Physics (5150)

Publikation: Konferenzbeitrag › Poster

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).

Originalsprache	englisch
Publikationsstatus	Veröffentlicht - 5 Apr. 2018
Veranstaltung	From Electrons to Phase Transitions 2018 - Christian Doppler lecture hall, Faculty of Physics, Strudlhofgasse 4/Boltzmanngasse 5, 1090 Vienna , Vienna, Österreich Dauer: 4 Apr. 2018 → 6 Apr. 2018 https://www.sfb-vicom.at/events/conference-2018-from-electrons-to-phase-transitions-2018/

Konferenz

Konferenz	From Electrons to Phase Transitions 2018
Kurztitel	EPT 2018
Land/Gebiet	Österreich
Ort	Vienna
Zeitraum	4/04/18 → 6/04/18
Internetadresse	https://www.sfb-vicom.at/events/conference-2018-from-electrons-to-phase-transitions-2018/

ASJC Scopus subject areas

Allgemeine Physik und Astronomie

Fields of Expertise

Advanced Materials Science

Dieses zitieren

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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. M{\o}lmer, Phys. Rev. Lett. 68, 580 (1992).[5] K. M{\o}lmer, 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-Universit{\"a}t Freiburg (1998).",

author = "Fugger, {Delia Maria} and Sorantin, {Max Erich} and Antonius Dorda and {von der Linden}, Wolfgang and Enrico Arrigoni",

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day = "5",

language = "English",

note = "From Electrons to Phase Transitions 2018, EPT 2018 ; Conference date: 04-04-2018 Through 06-04-2018",

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T1 - Auxiliary master equation approach within stochastic wave functions

AU - Fugger, Delia Maria

AU - Sorantin, Max Erich

AU - Dorda, Antonius

AU - von der Linden, Wolfgang

AU - Arrigoni, Enrico

PY - 2018/4/5

Y1 - 2018/4/5

N2 - 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).

AB - 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).

M3 - Poster

T2 - From Electrons to Phase Transitions 2018

Y2 - 4 April 2018 through 6 April 2018

ER -

Auxiliary master equation approach within stochastic wave functions

Abstract

Konferenz

ASJC Scopus subject areas

Fields of Expertise

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