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arXiv · 1610.02954

Classical and Quantum Part of the Environment for Quantum Langevin Equations

Stéphane Attal·Ivan Bardet
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Abstract

Among quantum Langevin equations describing the unitary time evolution of a quantum system in contact with a quantum bath, we completely characterize those equations which are actually driven by classical noises. The characterization is purely algebraic, in terms of the coefficients of the equation. In a second part, we consider general quantum Langevin equations and we prove that they can always be split into a maximal part driven by classical noises and a purely quantum one.

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Stéphane Attal, Ivan Bardet. 2016-10-10. Classical and Quantum Part of the Environment for Quantum Langevin Equations. https://arxiv.org/abs/1610.02954

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