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Quantum resonance in the paradigmatic kicked rotor system is a purely quantum effect that ignores the state of underlying classical chaos. In this work, it is shown that quantum resonance leads to superlinear entanglement production. In…

Quantum Physics · Physics 2024-10-07 Sanku Paul , J. Bharathi Kannan , M. S. Santhanam

We investigate both the quantum and classical dynamics of a non-Hermitian system via a kicked rotor model with $\mathcal{PT}$ symmetry. For the quantum dynamics, both the mean momentum and mean square of momentum exhibits the staircase…

Quantum Physics · Physics 2020-12-30 Wen-Lei Zhao , Pengkai Gong , Jiaozi Wang , Qian Wang

The main goal of the present paper is to convince that it is feasible to construct a `periodic orbit theory' of localization by extending the idea of classical action correlations. This possibility had been questioned by many researchers in…

chao-dyn · Physics 2009-10-28 Doron Cohen

We investigate the quantum kicked rotor in resonance subjected to momentum measurements with a L\'evy waiting time distribution. We find that the system has a sub-ballistic behavior. We obtain an analytical expression for the exponent of…

Quantum Physics · Physics 2009-11-13 Alejandro Romanelli

We examine the effect of the initial atomic momentum distribution on the dynamics of the atom-optical realisation of the quantum kicked rotor. The atoms are kicked by a pulsed optical lattice, the periodicity of which implies that…

Atomic Physics · Physics 2007-05-23 Sandro Wimberger , Mark Sadgrove

We investigate properties of the scale dependence and cross-scale transfer of kinetic energy in compressible three-dimensional hydrodynamic turbulence, by means of two direct numerical simulations of decaying turbulence with initial Mach…

Fluid Dynamics · Physics 2021-04-15 P. Hellinger , A. Verdini , S. Landi , E. Papini , L. Franci , L. Matteini

The kicked rotator model is an essential paradigm in nonlinear dynamics, helping us understand the emergence of chaos and bifurcations in dynamical systems. In this study, we analyze a two-dimensional kicked rotator model considering a…

Chaotic Dynamics · Physics 2024-11-06 Danilo S. Rando , Edson D. Leonel , Diego F. M. Oliveira

We discover that quantum dynamical tunneling, occurring between phase space regions in a classically forbidden way, can break conserved quantities in pseudointegrable systems. We rigorously prove that a conserved quantity in a class of…

Chaotic Dynamics · Physics 2024-05-21 Lingchii Kong , Zongping Gong , Biao Wu

We make the first steps towards a generic theory for energy spreading and quantum dissipation. The Wall formula for the calculation of friction in nuclear physics and the Drude formula for the calculation of conductivity in mesoscopic…

Condensed Matter · Physics 2009-10-31 Doron Cohen

We study the dynamics of the classical and quantum mechanical scattering of a wave packet from an oscillating barrier. Our main focus is on the dependence of the transmission coefficient on the initial energy of the wave packet for a wide…

Chaotic Dynamics · Physics 2015-05-20 P. K. Papachristou , E. Katifori , F. K. Diakonos , V. Constantoudis , E. Mavrommatis

We investigate classical-quantum correspondence for kicked Harper model for extremely small values of the Planck constant $\hbar$. In the asymmetric case a pure quantum state shows clear signature of classical diffusive as well as super…

Chaotic Dynamics · Physics 2007-05-23 Indubala I Satija , Tomaz Prosen

Like other critical phenomena, the jamming transition accompanies the divergence of the relaxation time $\tau$. A recent numerical study of frictionless spherical particles proves that $\tau$ is inversely proportional to the lowest non-zero…

Soft Condensed Matter · Physics 2020-09-23 Harukuni Ikeda

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

Statistical Mechanics · Physics 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The quantum break-time of a system is the time-scale after which its true quantum evolution departs from the classical mean field evolution. For capturing it, a quantum resolution of the classical background - e.g., in terms of a coherent…

High Energy Physics - Theory · Physics 2017-11-01 Gia Dvali , Cesar Gomez , Sebastian Zell

We study how decoherence rules the quantum-classical transition of the Kicked Harmonic Oscillator (KHO). When the amplitude of the kick is changed the system presents a classical dynamics that range from regular to a strong chaotic…

Quantum Physics · Physics 2009-11-13 Fabricio Toscano , Diego A. Wisniacki

We experimentally investigate the atom optics kicked particle at quantum resonance using finite duration kicks. Even though the underlying process is quantum interference it can be well described by an $\epsilon$-pseudoclassical model. The…

Quantum Physics · Physics 2017-03-08 Julia Fekete , Shijie Chai , Simon A. Gardiner , Mikkel F. Andersen

We consider driven systems where the driving induces jumps in energy space: (1) particles pulsed by a step potential; (2) particles in a box with a moving wall; (3) particles in a ring driven by an electro-motive-force. In all these cases…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Stotland , Doron Cohen

We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of the unitary evolution propagator, and the integrated time…

Chaotic Dynamics · Physics 2009-11-07 Tomaz Prosen , Marko Znidaric

We investigate the relation between the cooperative length and the relaxation time, represented respectively by the culling time and the persistence time, in the Fredrickson-Andersen, Kob-Andersen and spiral kinetically-constrained models.…

Statistical Mechanics · Physics 2015-10-01 Eial Teomy , Yair Shokef

Semi--classical dynamics of quantum wave packets spreading is studied for a kicked rotor. Quantum flights are established for a specific, "magic" value of a chaos control parameter when the classical stickiness of trajectories is most…

Chaotic Dynamics · Physics 2007-05-23 A. Iomin , G. M. Zaslavsky