Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion

Details Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion Density matrix operatorial solution of the non--Markovian Master Equation for Quantum Brownian Motion

2002-11-29

arxiv.org/abs/quant-ph/0211196v1

Phys. Rev. A 67, 042108 (2003)

Physics

Quantum Physics

16 pages, 1 figure

Scientific paper

10.1103/PhysRevA.67.042108

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.

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