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Title: Non-Markovian master equation for a system of Fermions interacting with an electromagnetic field

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.
Authors:
 [1] ;  [2] ;  [3] ; ;  [1] ;  [2] ;  [4]
  1. Center of Advanced Studies in Physics at the Institute of Mathematics Simion Stoilow of the Romanian Academy, 13 Calea 13 Septembrie, 050711 Bucharest S5 (Romania)
  2. (Germany)
  3. (Romania), E-mail: eliadestefanescu@yahoo.fr
  4. (Romania)
Publication Date:
OSTI Identifier:
21163690
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 323; Journal Issue: 5; Other Information: DOI: 10.1016/j.aop.2008.01.009; PII: S0003-4916(08)00011-0; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION SPECTRA; APPROXIMATIONS; BLOCH EQUATIONS; BOSONS; ELECTROMAGNETIC FIELDS; ENERGY-LEVEL TRANSITIONS; FERMIONS; MARKOV PROCESS; MATHEMATICAL EVOLUTION; QUANTUM DOTS; SELF-CONSISTENT FIELD