Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath

Details Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath

2004-02-12

arxiv.org/abs/quant-ph/0402086v2

Phys. Rev. A 69, 062107 (2004)

Physics

Quantum Physics

19 pages, typos corrected, references added

Scientific paper

10.1103/PhysRevA.69.062107

The interrelationship between the non-Markovian stochastic Schr\"odinger equations and the corresponding non-Markovian master equations is investigated in the finite temperature regimes. We show that the general finite temperature non-Markovian trajectories can be used to derive the corresponding non-Markovian master equations. A simple, yet important solvable example is the well-known damped harmonic oscillator model in which a harmonic oscillator is coupled to a finite temperature reservoir in the rotating wave approximation. The exact convolutionless master equation for the damped harmonic oscillator is obtained by averaging the quantum trajectories relying upon no assumption of coupling strength or time scale. The master equation derived in this way automatically preserves the positivity, Hermiticity and unity.

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