Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization

I García-Mata, J Martin, O Giraud, B Georgeot… - Physical Review B, 2022 - APS
The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

Quantum simulation of disordered systems with cold atoms

JC Garreau - Comptes Rendus. Physique, 2017 - comptes-rendus.academie-sciences …
This paper reviews the physics of quantum disorder in relation with a series of experiments
using laser-cooled atoms exposed to “kicks” of a standing wave, realizing a paradigmatic …

Interactions and mobility edges: Observing the generalized aubry-andré model

FA An, K Padavić, EJ Meier, S Hegde, S Ganeshan… - Physical review …, 2021 - APS
Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally
realize a recently proposed family of nearest-neighbor tight-binding models having …

Quantum criticality and Kibble-Zurek scaling in the Aubry-André-Stark model

EW Liang, LZ Tang, DW Zhang - Physical Review B, 2024 - APS
We explore quantum criticality and Kibble-Zurek scaling (KZS) in the Aubry-André-Stark
(AAS) model, where the Stark field of strength ɛ is added onto the one-dimensional …

Experimental test of universality of the Anderson transition

M Lopez, JF Clément, P Szriftgiser, JC Garreau… - Physical Review Letters, 2012 - APS
We experimentally test the universality of the Anderson three dimensional metal-insulator
transition, using a quasiperiodic atomic kicked rotor. Nine sets of parameters controlling the …

Observation of the Anderson metal-insulator transition with atomic matter waves: Theory and experiment

G Lemarié, J Chabé, P Szriftgiser, JC Garreau… - Physical Review A …, 2009 - APS
Using a cold atomic gas exposed to laser pulses—a realization of the chaotic quasiperiodic
kicked rotor with three incommensurate frequencies—we study experimentally and …

Critical state of the Anderson transition: between a metal and an insulator

G Lemarié, H Lignier, D Delande, P Szriftgiser… - Physical review …, 2010 - APS
Using a three-frequency one-dimensional kicked rotor experimentally realized with a cold
atomic gas, we study the transport properties at the critical point of the metal-insulator …

Anderson localization transitions with and without random potentials

T Devakul, DA Huse - Physical Review B, 2017 - APS
We explore single-particle Anderson localization due to nonrandom quasiperiodic potentials
in two and three dimensions. We introduce a class of self-dual models that generalize the …

Disorder and interference: localization phenomena

CA Müller, D Delande - arXiv preprint arXiv:1005.0915, 2010 - arxiv.org
arXiv:1005.0915v3 [cond-mat.dis-nn] 1 Jun 2016 Page 1 Disorder and interference: localization
phenomena Cord A. Müller∗ and Dominique Delande† Chapter 9 in: “Les Houches 2009 …