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.

arXiv comment9 pages, 11 figures

References in corpus (8)

• Quantum wave packet revivals
• Controlling the sense of molecular rotation
• Quantum resonances in selective rotational excitation of molecules with a sequence of ultrashort laser pulses
• Quantum Control of Molecular Gas Hydrodynamics
• Coherent Control of Quantum Chaotic Diffusion
• Quantum resonance, Anderson localisation and selective manipulations in molecular mixtures by ultrashort laser pulses
• Anderson wall and Bloch oscillations in molecular rotation
• Molecular spinning by a chiral train of short laser pulses

Cited by in corpus (8)

• Experimental observation of Anderson localization in laser-kicked molecular rotors
• Observation of Bloch oscillations in molecular rotation
• 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
• Edge states of a three dimensional kicked rotor
• Impact of Boundary Conditions on the Double-Kicked Quantum Rotor