English

Stochastic Schr\"odinger equation from an interaction with the environment

Quantum Physics 2009-10-30 v1

Abstract

We consider a class of models describing a quantum oscillator in interaction with an environment. We show that models of continuous spontaneous localization based on a stochastic Schr\"odinger equation can be derived as an approximation to purely deterministic Hamiltonian systems. We show an exponential decay of off-diagonal matrix elements in the energy representation.

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Cite

@article{arxiv.quant-ph/9601010,
  title  = {Stochastic Schr\"odinger equation from an interaction with the environment},
  author = {Z. Haba},
  journal= {arXiv preprint arXiv:quant-ph/9601010},
  year   = {2009}
}

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12 pages