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 …

Many-body localization in the age of classical computing

P Sierant, M Lewenstein, A Scardicchio… - arXiv preprint arXiv …, 2024 - arxiv.org
Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Universality classes of the Anderson transitions driven by non-Hermitian disorder

X Luo, T Ohtsuki, R Shindou - Physical Review Letters, 2021 - APS
The interplay between non-Hermiticity and disorder plays an important role in condensed
matter physics. Here, we report the universal critical behaviors of the Anderson transitions …

Measurement of the mobility edge for 3D Anderson localization

G Semeghini, M Landini, P Castilho, S Roy… - Nature Physics, 2015 - nature.com
Anderson localization is a universal phenomenon affecting non-interacting quantum
particles in a disordered environment. In three spatial dimensions, theory predicts a …

Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials

X Li, S Das Sarma - Physical Review B, 2020 - APS
We study theoretically the localization properties of two distinct one-dimensional
quasiperiodic lattice models with a single-particle mobility edge (SPME) separating …

Deep learning the quantum phase transitions in random two-dimensional electron systems

T Ohtsuki, T Ohtsuki - Journal of the Physical Society of Japan, 2016 - journals.jps.jp
Random electron systems show rich phases such as Anderson insulator, diffusive metal,
quantum Hall and quantum anomalous Hall insulators, Weyl semimetal, as well as …

Coexistence of Quantum Hall and Quantum Anomalous Hall Phases in Disordered

H Li, CZ Chen, H Jiang, XC Xie - Physical Review Letters, 2021 - APS
In most cases, to observe quantized Hall plateaus, an external magnetic field is applied in
intrinsic magnetic topological insulators MnBi 2 Te 4. Nevertheless, whether the nonzero …

Unifying the Anderson transitions in Hermitian and non-Hermitian systems

X Luo, Z Xiao, K Kawabata, T Ohtsuki, R Shindou - Physical Review Research, 2022 - APS
Non-Hermiticity enriches the tenfold Altland-Zirnbauer symmetry class into the 38-fold
symmetry class, where critical behavior of the Anderson transitions (ATs) has been …

Level statistics of real eigenvalues in non-Hermitian systems

Z Xiao, K Kawabata, X Luo, T Ohtsuki, R Shindou - Physical Review Research, 2022 - APS
Symmetries associated with complex conjugation and Hermitian conjugation, such as time-
reversal symmetry and pseudo-Hermiticity, have a great impact on the eigenvalue spectra of …

Experimental observation of two-dimensional Anderson localization with the atomic kicked rotor

I Manai, JF Clément, R Chicireanu, C Hainaut… - Physical review …, 2015 - APS
Dimension 2 is expected to be the lower critical dimension for Anderson localization in a
time-reversal-invariant disordered quantum system. Using an atomic quasiperiodic kicked …