Journal article

Publication year: 2008

Pages: 1168-1190

Journal: Annals of Physics

Volume number: 323

Issue number: 5

ISSN: 0003-4916

DOI Link: https://doi.org/10.1016/j.aop.2008.01.009

Publisher: Elsevier Masson

Abstract: 
For a system of charged Fermions interacting with an electromagnetic field, we derive a non-Markovian master equation in the second-order approximation of the weak dissipative coupling. A complex dissipative environment including Fermions, Bosons and the free electromagnetic field is taken into account. Besides the well-known Markovian term of Lindblad's form, that describes the decay of the system by correlated transitions of the system and environment particles, this equation includes new Markovian and non-Markovian terms proceeding from the fluctuations of the self-consistent field of the environment. These terms describe fluctuations of the energy levels, transitions among these levels stimulated by the fluctuations of the self-consistent field of the environment, and the influence of the time-evolution of the environment on the system dynamics. We derive a complementary master equation describing the environment dynamics correlated with the dynamics of the system. As an application, we obtain non-Markovian Maxwell-Bloch equations and calculate the absorption spectrum of a field propagation mode transversing an array of two-level quantum dots. (c) 2008 Elsevier Inc. All rights reserved.

Harvard Citation style: Stefanescu, E., Scheid, W. and Sandulescu, A. (2008) Non-Markovian master equation for a system of Fermions interacting with an electromagnetic field, Annals of Physics, 323(5), pp. 1168-1190. https://doi.org/10.1016/j.aop.2008.01.009

APA Citation style: Stefanescu, E., Scheid, W., & Sandulescu, A. (2008). Non-Markovian master equation for a system of Fermions interacting with an electromagnetic field. Annals of Physics. 323(5), 1168-1190. https://doi.org/10.1016/j.aop.2008.01.009