No-resonance conditions, random matrices, and quantum chaotic models

Understand

In this article we investigate no-resonance conditions for quantum many body chaotic systems and random matrix models.

• No-resonance conditions are properties of the spectrum of a model, usually employed as a theoretical tool in the analysis of late time dynamics.
• The first order no-resonance condition holds when a spectrum is non-degenerate, while higher order no-resonance conditions imply sums of an equal number of energies are non-degenerate outside of permutations of the indices.
• This resonance condition is usually assumed to hold for quantum chaotic models.