Real-time path integrals for quantum dots : Quantum dissipative dynamics with superohmic environment coupling

Titelangaben

Vagov, Alexei ; Croitoru, Mikhail D. ; Glässl, Martin ; Axt, Vollrath Martin ; Kuhn, Tilmann:
Real-time path integrals for quantum dots : Quantum dissipative dynamics with superohmic environment coupling.
In: Physical Review B. Bd. 83 (2011) Heft 9 . - 094303.
ISSN 0163-1829
DOI: https://doi.org/10.1103/PhysRevB.83.094303

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Abstract

Based on a representation of the functional integral as the time evolution of the augmented density matrix we have worked out an implementation of the real-time path integral approach that is applicable to the dynamics of quantum dissipative systems with superohmic coupling to the environment. As a prototype for such a system we consider a laser-driven strongly confined semiconductor quantum dot coupled to acoustic phonons. First applications of this approach to quantum dot systems have already been published. Here, we provide a detailed description of the implementation, including a discussion of numerical issues and extend the formalism from two-level quantum dot models with a pure-dephasing type carrier-phonon coupling to the case of multiple electronic levels. The method allows for numerically exact calculations of the dot dynamics at strong dot-phonon and dot-laser coupling and at long times, usually inaccessible by other approaches.