Poisson Unravellings and the Measurement Problem, a Quantum Stochastic Calculus Perspective

Dustin Keys
June 12th, 2019 DUSTIN KEYS University of Arizona

We use the formalism of quantum stochastic calculus, a generalization of the classical theory of stochastic calculus, to derive classically stochastic equations, via an isomorphism between square integrable functionals of the Poisson process and Fock space, which unravel the GKSL master equation in the sense that they define stochastic trajectories which when integrated over an ensemble solve the master equation. These stochastic equations, for a certain choice of operators, lead to GRW-like spontaneously localizing trajectories. Since, the dynamics ultimately driving the stochastic equations is unitary, this shows how one can have spontaneous localization from a unitary dynamics, when the noise is treated in its proper quantum context.

Seminar, June 12, 2019, 12:00. ICFO’s Seminar Room

Hosted by Prof. Maciej Lewenstein