dorsal/arxiv
View SchemaThe stochastic limit of quantum spin systems
| Authors | L. Accardi, S. V. Kozyrev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9911077 |
| URL | https://arxiv.org/abs/quant-ph/9911077 |
| DOI | 10.1063/1.1291629 |
Abstract
The stochastic limit for the system of spins interacting with a boson field is investigated. In the finite volume an application of the stochastic golden rule shows that in the limit the dynamics of a quantum system is described by a quantum white noise equation that after taking of normal order is equivalent to quantum stochastic differential equation (QSDE). For the quantum Langevin equation the dynamics is well defined and is a quantum flow on the infinite lattice system.
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"abstract": "The stochastic limit for the system of spins interacting with a boson field\nis investigated. In the finite volume an application of the stochastic golden\nrule shows that in the limit the dynamics of a quantum system is described by a\nquantum white noise equation that after taking of normal order is equivalent to\nquantum stochastic differential equation (QSDE). For the quantum Langevin\nequation the dynamics is well defined and is a quantum flow on the infinite\nlattice system.",
"arxiv_id": "quant-ph/9911077",
"authors": [
"L. Accardi",
"S. V. Kozyrev"
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"doi": "10.1063/1.1291629",
"title": "The stochastic limit of quantum spin systems",
"url": "https://arxiv.org/abs/quant-ph/9911077"
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