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Stochastic Schrödinger equation from an interaction with the environment

Z. Haba
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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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Z. Haba. 1996-01-12. Stochastic Schrödinger equation from an interaction with the environment. https://doi.org/10.1007/bf02085754

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