What is it about?

Stochastic Schrodinger equations are a special type of stochastic evolution equations in complex Hilbert spaces, which arise in the study of open quantum systems. Quantum Bernoulli noises refer to annihilation and creation operators acting on Bernoulli functionals, which satisfy a canonical anti-commutation relation in equal time. In this paper, we investigate a linear stochastic Schrodinger equation of exclusion type in terms of quantum Bernoulli noises.

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Why is it important?

From a physical perspective, a linear stochastic Schrodinger equation of exclusion type in terms of quantum Bernoulli noises can play a role in describing the evolution of an open quantum system consisting of an arbitrary number of identical Fermi particles.

Perspectives

I hope quantum Bernoulli noises can find wider application.

Caishi Wang
Northwest Normal University

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This page is a summary of: Quantum Bernoulli noises approach to Stochastic Schrödinger equation of exclusion type, Journal of Mathematical Physics, June 2020, American Institute of Physics,
DOI: 10.1063/1.5138370.
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