Quantum Accelerator Modes near Higher-Order Resonances

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.

Inaccurate reference [12] has been amended

References in corpus (2)

• Quantum Accelerator Modes from the Farey Tree
• General Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition

Cited by in corpus (4)

• Pseudo-classical theory for fidelity of nearly resonant quantum rotors
• Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator
• Fractional resonances in the atom-optical delta-kicked accelerator
• Spinor Dynamics of Quantum Accelerator Modes near Higher Order Resonances