3 papers
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…
math.PR2018
Limiting Behaviors of High Dimensional Stochastic Spin Ensembles
Yuan Gao, Kay Kirkpatrick, Jeremy Marzuola +2
Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to…