Quantum decoherence and the Glauber dynamics from the Stochastic limit

Details Quantum decoherence and the Glauber dynamics from the Stochastic limit Quantum decoherence and the Glauber dynamics from the Stochastic limit

2000-05-06

arxiv.org/abs/quant-ph/0005029v1

Physics

Quantum Physics

LaTeX 2.09, 21 pages

Scientific paper

The effects of decoherence for quantum system coupled with a bosonic field are investigated. An application of the stochastic golden rule shows that in the stochastic limit the dynamics of such a system is described by a quantum stochastic differential equation. The corresponding master equation describes convergence of a system to equilibrium. In particular it predicts exponential damping for off-diagonal matrix elements of the system density matrix, moreover these elements for a generic system will decay at least as \exp(-tN{kT\over\hbar}), where N is a number of particles in the system. As an application of the described technique a derivation from first principles (i.e. starting from a Hamiltonian description) of a quantum extension of the Glauber dynamics for systems of spins is given.

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