Density-matrix operatorial solution of the non-Markovian master equation for quantum Brownian motion

F Intravaia, Sabrina Maniscalco, A Messina

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

An original method to exactly solve the non-Markovian master equation describing the interaction of a single harmonic oscillator with a quantum environment in the weak-coupling limit is reported. By using a superoperatorial approach, we succeed in deriving the operatorial solution for the density matrix of the system. Our method is independent of the physical properties of the environment. We show the usefulness of our solution deriving explicit expressions for the dissipative time evolution of some observables of physical interest for the system, such as, for example, its mean energy.
Original languageEnglish
Article number042108
Number of pages12
JournalPhysical Review A
Volume67
Issue number4
DOIs
Publication statusPublished - 22 Apr 2003

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