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Quantum decoherence and the Glauber dynamics from the Stochastic limit

Authors
  • Accardi, L.
  • Kozyrev, S. V.
Type
Preprint
Publication Date
May 06, 2000
Submission Date
May 06, 2000
Identifiers
arXiv ID: quant-ph/0005029
Source
arXiv
License
Unknown
External links

Abstract

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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