Multifractality of the kicked rotor at the critical point of the Anderson transition

Abstract

We show that quantum wavepackets exhibit a sharp macroscopic peak as they spread in the vicinity of the critical point of the Anderson transition. The peak gives a direct access to the mutifractal properties of the wavefunctions and specifically to the multifractal dimension $d\_2$. Our analysis is based on an experimentally realizable setup, the quantum kicked rotor with quasi-periodic temporal driving, an effectively 3-dimensional disordered system recently exploited to explore the physics of the Anderson transition with cold atoms.

References in corpus (4)

• Anderson Transitions
• Dynamical scaling for critical states: is Chalker's ansatz valid for strong fractality?
• Multifractal wave functions of simple quantum maps
• Multifractality of quantum wave packets

Cited by in corpus (8)

• The general approach to the critical phase with coupled quasiperiodic chains
• Dynamical many-body delocalization transition of a Tonks gas in a quasi-periodic driving potential
• Coherent forward scattering as a robust probe of multifractality in critical disordered media
• Coherent Forward Scattering Peak and Multifractality
• Critical dynamics of long-range quantum disordered systems
• Quantum logarithmic multifractality
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos
• Critical Dynamics of the Anderson Transition on Small-World Graphs