Non-Markovian weak coupling limit of quantum Brownian motion



: Maniscalco S, Piilo J, Suominen KA

Publisher: SPRINGER

: 2009

: European Physical Journal D

: EUROPEAN PHYSICAL JOURNAL D

: EUR PHYS J D

: 55

: 1

: 181

: 187

: 7

: 1434-6060

DOI: https://doi.org/10.1140/epjd/e2009-00230-6


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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