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 …

Non-hermitian delocalization in a two-dimensional photonic quasicrystal

Z Zhang, S Liang, I Septembre, J Yu, Y Huang, M Liu… - Physical Review Letters, 2024 - APS
Theoretical and experimental studies suggest that both Hermitian and non-Hermitian
quasicrystals show localization due to the fractal spectrum and to the transition to diffusive …

Complete delocalization and reentrant topological transition in a non-Hermitian quasiperiodic lattice

A Padhan, SR Padhi, T Mishra - Physical Review B, 2024 - APS
We predict a complete delocalization of the localized states following the localization
transition in a one-dimensional non-Hermitian Aubry-André model with a generalized …

Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice

A Padhan, MK Giri, S Mondal, T Mishra - Physical Review B, 2022 - APS
Low-dimensional quasiperiodic systems exhibit localization transitions by turning all
quantum states localized after a critical quasidisorder. While certain systems with modified …

Critical-to-insulator transitions and fractality edges in perturbed flat bands

S Lee, A Andreanov, S Flach - Physical Review B, 2023 - APS
We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice
models. Such networks can be diagonalized by a finite sequence of local unitary …

Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals

CW Duncan - Physical Review B, 2024 - APS
We study the single-particle properties of two-dimensional quasicrystals where the
underlying geometry of the tight-binding lattice is crystalline but the on-site potential is …

Flux-enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder

MK Giri, B Paul, T Mishra - Physical Review A, 2024 - APS
We study the quench dynamics of two bosons possessing on-site repulsive interaction on a
two-leg ladder and show that the presence of uniform flux piercing through the plaquettes of …

Scaling of the bulk polarization in extended and localized phases of a quasiperiodic model

B Hetényi - Physical Review B, 2024 - APS
We study the finite size scaling of the bulk polarization in a quasiperiodic (Aubry-André)
model using the geometric analog of the Binder cumulant. As a proof of concept, we show …

Mechanical Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge

DA Miranda, TVC Antão, NMR Peres - Physical Review B, 2024 - APS
In this paper we discuss the topological transition between trivial and nontrivial phases of a
quasiperiodic (Aubry-André like) mechanical Su-Schrieffer-Heeger model. We find that there …

Coexistence of one-dimensional and two-dimensional topology and genesis of Dirac cones in the chiral Aubry-André model

TVC Antão, DA Miranda, NMR Peres - Physical Review B, 2024 - APS
We construct a one-dimensional (1D) topological SSH-like model with chiral symmetry and a
superimposed hop** modulation, which we call the chiral Aubry-André model. We show …