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 …

The ergodic side of the many‐body localization transition

DJ Luitz, YB Lev - Annalen der Physik, 2017 - Wiley Online Library
Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

Thouless time analysis of Anderson and many-body localization transitions

P Sierant, D Delande, J Zakrzewski - Physical Review Letters, 2020 - APS
Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

Experimental Observation of the Anderson Metal-Insulator Transition<? format?> with Atomic Matter Waves

J Chabé, G Lemarié, B Grémaud, D Delande… - Physical review …, 2008 - APS
We realize experimentally an atom-optics quantum-chaotic system, the quasiperiodic kicked
rotor, which is equivalent to a 3D disordered system that allows us to demonstrate the …

Density of states scaling at the semimetal to metal transition in three dimensional topological insulators

K Kobayashi, T Ohtsuki, KI Imura, IF Herbut - Physical review letters, 2014 - APS
The quantum phase transition between the three dimensional Dirac semimetal and the
diffusive metal can be induced by increasing disorder. Taking the system of a disordered Z 2 …

Observation of anomalous diffusion and fractional self-similarity in one dimension

Y Sagi, M Brook, I Almog, N Davidson - Physical review letters, 2012 - APS
We experimentally study anomalous diffusion of ultracold atoms in a one dimensional
polarization optical lattice. The atomic spatial distribution is recorded at different times and …

Fast algorithm for finding the eigenvalue distribution of very large matrices

A Hams, H De Raedt - Physical Review E, 2000 - APS
A theoretical analysis is given of the equation of motion method, due to Alben et al.[Phys.
Rev. B 12, 4090 (1975)], to compute the eigenvalue distribution (density of states) of very …

Metal-insulator transition and superconductivity in boron-doped diamond

T Klein, P Achatz, J Kacmarcik, C Marcenat… - Physical Review B …, 2007 - APS
We report on a detailed analysis of the transport properties and superconducting critical
temperatures of boron-doped diamond films grown along the {100} direction. The system …

Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition

CL Bertrand, AM García-García - Physical Review B, 2016 - APS
We study a one-dimensional XXZ spin chain in a random field on the metallic side of the
many-body localization transition by level statistics. For a fixed interaction, and intermediate …

Multifractality and its role in anomalous transport in the disordered XXZ spin-chain

DJ Luitz, IM Khaymovich, Y Bar Lev - SciPost Physics Core, 2020 - scipost.org
The disordered XXZ model is a prototype model of the many-body localization transition
(MBL). Despite numerous studies of this model, the available numerical evidence of …