Quantum Accelerator Modes near Higher-Order Resonances

TL;DR

This paper generalizes the theory of Quantum Accelerator Modes to include higher-order resonances, predicting new observable modes in cold atom experiments when the kicking period is near any rational multiple of the Talbot time.

Contribution

It extends existing models to higher-order resonances, revealing a broader spectrum of Quantum Accelerator Modes in cold atom systems.

Findings

Predicts new families of Quantum Accelerator Modes near higher-order resonances

Generalizes the theoretical framework to any rational multiple of the Talbot time

Provides a basis for experimental observation of these new modes

Abstract

Quantum Accelerator Modes have been experimentally observed, and theoretically explained, in the dynamics of kicked cold atoms in the presence of gravity, when the kicking period is close to a half-integer multiple of the Talbot time. We generalize the theory to the case when the kicking period is sufficiently close to any rational multiple of the Talbot time, and thus predict new rich families of experimentally observable Quantum Accelerator Modes.