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Stochastic Schrödinger equation from an interaction with the environment

Z. Haba

quant-pharXiv:quant-ph/9601010

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 Schrödinger 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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