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Non-Markovian weak coupling limit of quantum Brownian motion

  • S. ManiscalcoEmail author
  • J. Piilo
  • K.-A. Suominen
Quantum Optics

Abstract

We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a harmonic oscillator interacting with a squeezed thermal bath. This equivalence guarantees preservation of positivity of the density operator during the time evolution and allows one to establish a connection between the dynamics of Schrödinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.

PACS

03.65.Yz Decoherence; open systems; quantum statistical methods 03.65.Ta Foundations of quantum mechanics; measurement theory 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of TurkuTurkuFinland

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