A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Non-Markovian weak coupling limit of quantum Brownian motion
Tekijät: Maniscalco S, Piilo J, Suominen KA
Kustantaja: SPRINGER
Julkaisuvuosi: 2009
Journal: European Physical Journal D
Tietokannassa oleva lehden nimi: EUROPEAN PHYSICAL JOURNAL D
Lehden akronyymi: EUR PHYS J D
Vuosikerta: 55
Numero: 1
Aloitussivu: 181
Lopetussivu: 187
Sivujen määrä: 7
ISSN: 1434-6060
DOI: https://doi.org/10.1140/epjd/e2009-00230-6
Tiivistelmä
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.