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Stochastic Collapse Models with Quantum Noise

Mathematical Physics and Probability Seminar

Stochastic Collapse Models with Quantum Noise
Series: Mathematical Physics and Probability Seminar
Location: MATH 402
Presenter: Dustin Keys, University of Arizona

A solution to the measurement problem of quantum mechanics would explain the why, when and how of the two seemingly different dynamics in quantum mechanics: unitary evolution, and projections. Among people who recognize there is a problem in the first place, there are usually three big interpretations which do this: stochastic collapse models, many worlds, and Bohmian mechanics. We will focus on stochastic collapse models which are the only ones that make new predictions and which say that the projections happen stochastically according to a classical noise process. The formalism of quantum stochastic calculus allows us to consider this theory in a purely quantum context and in the process of doing this some new perspective is offered on the inner workings of the original model due to the fact that the classical noise model and the quantum noise model are seemingly very different and yet isomorphic nonetheless.