Extension of the Nakajima-Zwanzig approach to multitime correlation functions of open systems

Anton Ivanov and Heinz-Peter Breuer
Phys. Rev. A 92, 032113 – Published 11 September 2015

Abstract

We extend the Nakajima-Zwanzig projection operator technique to the determination of multitime correlation functions of open quantum systems. The correlation functions are expressed in terms of certain multitime homogeneous and inhomogeneous memory kernels for which suitable equations of motion are derived. We show that under the condition of finite memory times, these equations can be used to determine the memory kernels by employing an exact stochastic unraveling of the full system-environment dynamics. The approach thus allows us to combine exact stochastic methods, feasible for short times, with long-time master equation simulations. The applicability of the method is demonstrated by numerical simulations of two-dimensional spectra for a donor-acceptor model, and by comparison of the results with those obtained from the reduced hierarchy equations of motion. We further show that the formalism is also applicable to the time evolution of a periodically driven two-level system initially in equilibrium with its environment.

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  • Received 8 July 2015

DOI:https://doi.org/10.1103/PhysRevA.92.032113

©2015 American Physical Society

Authors & Affiliations

Anton Ivanov* and Heinz-Peter Breuer

  • Physikalisches Institut, Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany

  • *anton.ivanov@physik.uni-freiburg.de

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Issue

Vol. 92, Iss. 3 — September 2015

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