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Path-integral approach for nonequilibrium multitime correlation functions of open quantum systems coupled to Markovian and non-Markovian environments

Title data

Cosacchi, Michael ; Cygorek, M. ; Ungar, Florian ; Barth, Andreas M. ; Vagov, Alexei ; Axt, Vollrath Martin:
Path-integral approach for nonequilibrium multitime correlation functions of open quantum systems coupled to Markovian and non-Markovian environments.
In: Physical Review B. Vol. 98 (2018) . - Art.Nr. 125302.
ISSN 0163-1829
DOI: https://doi.org/10.1103/PhysRevB.98.125302

Project information

Project financing: Alexander von Humboldt-Stiftung
Russian Science Foundation, Project 18-12-00429

Abstract in another language

Using a real-time path integral approach we develop an algorithm to calculate multitime correlation functions of open few-level quantum systems that is applicable to highly nonequilibrium dynamics. The calculational scheme fully keeps the non-Markovian memory introduced by the pure-dephasing type coupling to a continuum of oscillators. Furthermore, we discuss how to deal consistently with the simultaneous presence of non-Markovian and Markovian system reservoir interactions. We apply the method to a crucial test case, namely the evaluation of emission spectra of a laser-driven two-level quantum dot coupled to a continuum of longitudinal acoustic phonons, which give rise to non-Markovian dynamics. Here, we also account for the coupling to a photonic environment, which models radiative decay and can be treated as a Markovian bath. The phonon side bands are found on the correct side of the zero phonon line in our calculation, in contrast to known results where the quantum regression theorem is applied naively to non-Markovian dynamics. Combining our algorithm with a recently improved iteration scheme for performing the required sum over paths we demonstrate the numerical feasibility of our approach to systems with more than two levels. Results are shown for the second-order photonic two-time correlation function of a quantum dot-cavity system with seven states on the Jaynes-Cummings ladder taken into account.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: quantum dot; path-integrals; microcavity; two-time correlation functions; multi-time correlation functions; nonlinear optics; ultrafast dynamics; pure dephasing; phonons; decoherence; non-Markovian dynamics; memory effects; phonon-induced memory; multi-phonon processes; quantum dissipative dynamics; numerically exact; Lindblad operators; non-Hamiltonian dynamics
Subject classification: condensed matter physics (theoretical)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics III > Chair Theoretical Physics III - Univ.-Prof. Dr. Martin Axt
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics III
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 07 Sep 2018 06:40
Last Modified: 07 Sep 2018 06:40
URI: https://eref.uni-bayreuth.de/id/eprint/45734