Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion

Details Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion

1998-07-17

arxiv.org/abs/quant-ph/9807047v1

Physica A257:298-302,1998

Physics

Quantum Physics

7 pages, Revtex, to be published in Physica A

Scientific paper

A many particle Hamiltonian, where the interaction term conserves the number of particles, is considered. A master equation for the populations of the different levels is derived in an exact way. It results in a local equation with time-dependent coefficients, which can be identified with the transition probabilities in the golden rule approximation. A reinterpretation of the model as a set of coupled harmonic oscillators enables one to obtain for one of them an exact local Langevin equation, with time-dependent coefficients.

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