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 …

Dynamics of Loschmidt echoes and fidelity decay

T Gorin, T Prosen, TH Seligman, M Žnidarič - Physics Reports, 2006 - Elsevier
Fidelity serves as a benchmark for the reliability in quantum information processes, and has
recently attracted much interest as a measure of the susceptibility of dynamics to …

Quantum simulation of dynamical maps with trapped ions

P Schindler, M Müller, D Nigg, JT Barreiro… - Nature Physics, 2013 - nature.com
Dynamical maps describe general transformations of the state of a physical system—their
iteration interpreted as generating a discrete time evolution. Prime examples include …

Many-body dynamical delocalization in a kicked one-dimensional ultracold gas

JH See Toh, KC McCormick, X Tang, Y Su, XW Luo… - Nature Physics, 2022 - nature.com
Contrary to a driven classical system that exhibits chaotic behaviour and diffusive energy
growth, a kicked quantum system can exhibit the emergence of dynamical localization …

High-order quantum resonances observed in a periodically kicked Bose-Einstein condensate

C Ryu, MF Andersen, A Vaziri, MB d'Arcy… - Physical review …, 2006 - APS
We have observed high-order quantum resonances in a realization of the quantum δ-kicked
rotor, using Bose-condensed Na atoms subjected to a pulsed standing wave of laser light …

Atom-optics approach to studying transport phenomena

B Gadway - Physical Review A, 2015 - APS
We present a simple experimental scheme, based on standard atom-optics techniques, to
design highly versatile model systems for the study of single-particle quantum transport …

Quantum resonances and decoherence for δ-kicked atoms

S Wimberger, I Guarneri, S Fishman - Nonlinearity, 2003 - iopscience.iop.org
The quantum resonances occurring with δ-kicked atoms when the kicking period is an
integer multiple of the half-Talbot time are analysed in detail. Exact results about the …

From localization to anomalous diffusion in the dynamics of coupled kicked rotors

S Notarnicola, F Iemini, D Rossini, R Fazio, A Silva… - Physical Review E, 2018 - APS
We study the effect of many-body quantum interference on the dynamics of coupled
periodically kicked systems whose classical dynamics is chaotic and shows an unbounded …

Transition to instability in a kicked Bose-Einstein condensate

C Zhang, J Liu, MG Raizen, Q Niu - Physical review letters, 2004 - APS
A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear
generalization of the quantum kicked rotor. For weak interactions between atoms, periodic …

Evidence for a quantum-to-classical transition in a pair of coupled quantum rotors

B Gadway, J Reeves, L Krinner, D Schneble - Physical review letters, 2013 - APS
The understanding of how classical dynamics can emerge in closed quantum systems is a
problem<? format?> of fundamental importance. Remarkably, while classical behavior …