dorsal/arxiv
View SchemaQuantum decoherence and the Glauber dynamics from the Stochastic limit
| Authors | L. Accardi, S. V. Kozyrev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005029 |
| URL | https://arxiv.org/abs/quant-ph/0005029 |
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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"abstract": "The effects of decoherence for quantum system coupled with a bosonic field\nare investigated. An application of the stochastic golden rule shows that in\nthe stochastic limit the dynamics of such a system is described by a quantum\nstochastic differential equation. The corresponding master equation describes\nconvergence of a system to equilibrium. In particular it predicts exponential\ndamping for off-diagonal matrix elements of the system density matrix, moreover\nthese elements for a generic system will decay at least as\n\\exp(-tN{kT\\over\\hbar}), where N is a number of particles in the system. As an\napplication of the described technique a derivation from first principles (i.e.\nstarting from a Hamiltonian description) of a quantum extension of the Glauber\ndynamics for systems of spins is given.",
"arxiv_id": "quant-ph/0005029",
"authors": [
"L. Accardi",
"S. V. Kozyrev"
],
"categories": [
"quant-ph"
],
"title": "Quantum decoherence and the Glauber dynamics from the Stochastic limit",
"url": "https://arxiv.org/abs/quant-ph/0005029"
},
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