Quantum Dynamics and Random Matrix Theory

Abstract

We compute the survival probability of an initial state, with an energy in a certain window, by means of random matrix theory. We determine its probability distribution and show that is is universal, i.e. caracterised only by the symmetry class of the hamiltonian and independent of the initial state.

6 pages

References in corpus (1)

• Correlation Functions, Cluster Functions and Spacing Distributions for Random Matrices

Cited by in corpus (2)

• Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems