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 …

Large negative giant magnetoresistance at room temperature and electrical transport in cobalt ferrite-polyaniline nanocomposites

H Gu, H Zhang, J Lin, Q Shao, DP Young, L Sun… - Polymer, 2018 - Elsevier
At room temperature, a large negative out-of-plane magnetoresistance (MR),[R (H)-R (0)]/R
(0), with a value of− 35.76% at magnetic field of 9 T has been obtained in the cobalt ferrite …

Nonlinear lattice waves in heterogeneous media

TV Laptyeva, MV Ivanchenko… - Journal of Physics A …, 2014 - iopscience.iop.org
We discuss recent advances in the understanding of the dynamics of nonlinear lattice waves
in heterogeneous media, which enforce complete wave localization in the linear wave …

Observation of subdiffusion in a disordered interacting system

E Lucioni, B Deissler, L Tanzi, G Roati, M Zaccanti… - Physical review …, 2011 - APS
We study the transport dynamics of matter-waves in the presence of disorder and
nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice …

Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion

DM Basko - Annals of Physics, 2011 - Elsevier
The subject of this study is the long-time equilibration dynamics of a strongly disordered one-
dimensional chain of coupled weakly anharmonic classical oscillators. It is shown that chaos …

Wave packet spreading with disordered nonlinear discrete-time quantum walks

I Vakulchyk, MV Fistul, S Flach - Physical review letters, 2019 - APS
We use a novel unitary map toolbox—discrete-time quantum walks originally designed for
quantum computing—to implement ultrafast computer simulations of extremely slow …

Nonequilibrium chaos of disordered nonlinear waves

C Skokos, I Gkolias, S Flach - Physical Review Letters, 2013 - APS
Do nonlinear waves destroy Anderson localization? Computational and experimental
studies yield subdiffusive nonequilibrium wave packet spreading. Chaotic dynamics and …

The nonlinear Schrödinger equation with a random potential: results and puzzles

S Fishman, Y Krivolapov, A Soffer - Nonlinearity, 2012 - iopscience.iop.org
The nonlinear Schrödinger equation (NLSE) with a random potential is motivated by
experiments in optics and in atom optics and is a paradigm for the competition between the …

Numerical integration of variational equations

C Skokos, E Gerlach - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We present and compare different numerical schemes for the integration of the variational
equations of autonomous Hamiltonian systems whose kinetic energy is quadratic in the …

Characteristics of chaos evolution in one-dimensional disordered nonlinear lattices

B Senyange, BM Manda, C Skokos - Physical Review E, 2018 - APS
We numerically investigate the characteristics of chaos evolution during wave-packet
spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon …