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Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems

Title data

Barth, Andreas M. ; Vagov, Alexei ; Axt, Vollrath M.:
Path-integral description of combined Hamiltonian and non-Hamiltonian dynamics in quantum dissipative systems.
In: Physical Review B. Vol. 94 (2016) Issue 12 . - Art.Nr. 125439, 9 S..
ISSN 0163-1829
DOI: https://doi.org/10.1103/PhysRevB.94.125439

Project information

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We present a numerical path-integral iteration scheme for the low-dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modeled pure-dephasing-type coupling to a continuum of harmonic oscillators representing, e.g., phonons, and further environmental interactions inducing non-Hamiltonian dynamics in the inner system represented, e.g., by Lindblad-type dissipation or relaxation. Our formulation of the path-integral method allows for a numerically exact treatment of the coupling to the oscillator modes and moreover is general enough to provide a natural way to include Markovian processes that are sufficiently described by rate equations. We apply this new formalism to a model of a single semiconductor quantum dot which includes the coupling to longitudinal acoustic phonons for two cases: (a) external laser excitation taking into account a phenomenological radiative decay of the excited dot state and (b) a coupling of the quantum dot to a single mode of an optical cavity taking into account cavity photon losses.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: quantum dot; path-integrals; real-time path-integrals; nonlinear optics; ultrafast dynamics; pure dephasing; phonons; decoherence; excitons; biexcitons; non-Markovian dynamics; memory effects; phonon-induced memory; multi-phonon processes; quantum dissipative dynamics; numerically exact; Lindblad operators; non-Hamiltonian dynamics
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: 03 Nov 2017 06:46
Last Modified: 03 Nov 2017 06:46
URI: https://eref.uni-bayreuth.de/id/eprint/40293