title: Information-theoretic equilibration: the appearance of irreversibility under complex quantum dynamics.
abstract: The question of how irreversibility can emerge as a generic phenomenon when the underlying mechanical theory is reversible has been a long-standing fundamental problem for both classical and quantum mechanics. We describe a mechanism for the appearance of irreversibility that applies to coherent, isolated systems in a pure quantum state. This equilibration mechanism requires only an assumption of sufficiently complex internal dynamics and natural information-theoretic constraints arising from the infeasibility of collecting an astronomical amount of measurement data. Remarkably, we are able to prove that irreversibility can be understood as typical without assuming decoherence or restricting to coarse-grained observables, and hence occurs under distinct conditions and time scales from those implied by the usual decoherence point of view. We illustrate the effect numerically in several model systems and prove that the effect is typical under the standard random-matrix conjecture for complex quantum systems.
authors.affiliation: Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L3G1, Canada and Institute for Quantum Computing, 200 University Avenue West, Waterloo, Ontario N2L3G1, Canada.
authors.forename: Cozmin
authors.initials: C
authors.lastname: Ududec
authors.forename: Nathan
authors.initials: N
authors.lastname: Wiebe
authors.forename: Joseph
authors.initials: J
authors.lastname: Emerson