A1 Refereed original research article in a scientific journal
Non-Markovian weak coupling limit of quantum Brownian motion
Authors: Maniscalco S, Piilo J, Suominen KA
Publisher: SPRINGER
Publication year: 2009
Journal: European Physical Journal D
Journal name in source: EUROPEAN PHYSICAL JOURNAL D
Journal acronym: EUR PHYS J D
Volume: 55
Issue: 1
First page : 181
Last page: 187
Number of pages: 7
ISSN: 1434-6060
DOI: https://doi.org/10.1140/epjd/e2009-00230-6
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 Schrodinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.
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 Schrodinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.
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