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math-ph2020
A large deviation principle in many-body quantum dynamics
Kay Kirkpatrick, Simone Rademacher, Benjamin Schlein
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large dev…
math-ph2018
Transport of a quantum particle in a time-dependent white-noise potential
Peter D. Hislop, Kay Kirkpatrick, Stefano Olla +1
We show that a quantum particle in , for , subject to a white-noise potential, moves super-ballistically in the sense that the mean square displacement $\in…