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).
[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).
| Originalsprache | Englisch |
|---|---|
| Publikationsstatus | Veröffentlicht - 5 Apr. 2018 |
| Extern publiziert | Ja |
| 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 |