Quantum kicked rotor and its variants: Chaos, localization and beyond
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 …
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 …
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 …
transition in a one-dimensional non-Hermitian Aubry-André model with a generalized …
Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
Low-dimensional quasiperiodic systems exhibit localization transitions by turning all
quantum states localized after a critical quasidisorder. While certain systems with modified …
quantum states localized after a critical quasidisorder. While certain systems with modified …
Critical-to-insulator transitions and fractality edges in perturbed flat bands
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 …
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 …
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
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 …
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 …
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
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 …
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
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 …
superimposed hop** modulation, which we call the chiral Aubry-André model. We show …