Edge states of periodically kicked quantum rotors

Abstract

We present a quantum localization phenomenon that exists in periodically kicked 3D rotors, but is absent in the commonly studied 2D ones: edge localization. We show that under the condition of a fractional quantum resonance there are states of the kicked rotor that are strongly localized near the edge of the angular momentum space at $J=0$. These states are analogs of surface states in crystalline solids, and they significantly affect resonant excitation of molecular rotation by laser pulse trains.

9 pages, 11 figures

References in corpus (1)

• Anderson wall and Bloch oscillations in molecular rotation

Cited by in corpus (5)

• Control of quantum localization and classical diffusion in laser-kicked molecular rotors
• Catastrophes in non-equilibrium many-particle wave functions: universality and critical scaling
• Topological charges of periodically kicked molecules
• Anomalous multi-gap topological phases in periodically driven quantum rotors
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor