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

Panayotis Akridas-Morel (1) , Nicolas Cherroret (1) , Dominique Delande (1)

1 LKB (Jussieu) - Laboratoire Kastler Brossel

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.

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Physique Quantique [quant-ph]; Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Panayotis Akridas-Morel, Nicolas Cherroret, Dominique Delande. Multifractality of the kicked rotor at the critical point of the Anderson transition. 2019. ⟨hal-02132798v1⟩