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

Titelangaben

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. Bd. 98 (2018) . - Art.Nr. 125302.
ISSN 0163-1829
DOI: https://doi.org/10.1103/PhysRevB.98.125302

Angaben zu Projekten

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

Abstract

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.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
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
Fachklassifikationen: condensed matter physics (theoretical)
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut
Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut > Lehrstuhl Theoretische Physik III > Lehrstuhl Theoretische Physik III - Univ.-Prof. Dr. Martin Axt
Fakultäten
Fakultäten > Fakultät für Mathematik, Physik und Informatik
Fakultäten > Fakultät für Mathematik, Physik und Informatik > Physikalisches Institut > Lehrstuhl Theoretische Physik III
Titel an der UBT entstanden: Ja
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 530 Physik
Eingestellt am: 07 Sep 2018 06:40
Letzte Änderung: 07 Sep 2018 06:40
URI: https://eref.uni-bayreuth.de/id/eprint/45734