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The Kicked Rotor is perhaps the simplest physical model to illuminate the transition from regular to chaotic motion in classical mechanics. It is also widely applied as a model of light-matter interactions. In the conventional treatment,…

Chaotic Dynamics · Physics 2024-12-31 Jonathan Berkheim , Shaked Levy , David J. Tannor

The kicked rotor system is a textbook example of how classical and quantum dynamics can drastically differ. The energy of a classical particle confined to a ring and kicked periodically will increase linearly in time whereas in the quantum…

Disordered Systems and Neural Networks · Physics 2020-04-22 Colin Rylands , Efim Rozenbaum , Victor Galitski , Robert Konik

The kicked rotor provides a simple yet powerful model for introducing many of the central concepts of classical and quantum chaos. Despite its apparent simplicity, it exhibits rich dynamical behavior and has found applications across a wide…

Quantum Physics · Physics 2026-04-23 Giuliano Benenti , Giulio Casati , Jiangbin Gong , Zhixing Zou

We present an approach of the kicked rotor quantum resonances in position-space, based on its analogy with the optical Talbot effect. This approach leads to a very simple picture of the physical mechanism underlying the dynamics and to…

Quantum Physics · Physics 2008-04-25 Maxence Lepers , Véronique Zehnlé , Jean Claude Garreau

Mean field theory for the time evolution of quantum meson fields is studied in terms of the functional Schroedinger picture with a time-dependent Gaussian variational wave functional. We first show that the equations of motion for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Tsue , D. Vautherin , T. Matsui

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

The classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the diffusion in classical phase space are similar…

chao-dyn · Physics 2009-10-28 Georg Junker , Harald Karl , Hajo Leschke

We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator, which is a single-particle deterministic dynamical system,…

Quantum Physics · Physics 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati

The dynamics of the kicked-rotor, that is a paradigm for a mixed system, where the motion in some parts of phase space is chaotic and in other parts is regular is studied statistically. The evolution (Frobenius-Perron) operator of phase…

chao-dyn · Physics 2009-10-31 M. Khodas , S. Fishman

We consider the influence of the inclusion of interatomic interactions on the delta-kicked accelerator model. Our analysis concerns in particular quantum accelerator modes, namely quantum ballistic transport near quantal resonances. The…

Chaotic Dynamics · Physics 2007-09-27 Laura Rebuzzini , Roberto Artuso , Shmuel Fishman , Italo Guarneri

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 energy increase. We specifically focus on a $N$ coupled kicked rotors…

A modification of the quantum kicked rotator is suggested with a time-dependent delta-kicked interaction parameter which can be realized by a pulsed turn-on of a Feshbach resonance. The mean kinetic energy increases exponentially with time…

Statistical Mechanics · Physics 2009-11-10 B. Mieck , R. Graham

The mean field approximation is used to investigate the general features of the dynamics of a two-level atom in a ferromagnetic lattice close to the Curie temperature. Various analytical and numerical results are obtained. We first…

Quantum Physics · Physics 2023-07-07 Yamen Hamdouni

We study experimentally a quantum kicked rotor with broken parity symmetry, supporting a ratchet effect due to the presence of a classical accelerator mode. We show that the short-time dynamics is very well described by the classical…

In this study, we propose a generalized pseudoclassical theory for the kicked rotor model in an attempt to discern the footprints of the classical dynamics in the deep quantum regime. Compared with the previous pseudoclassical theory that…

Quantum Physics · Physics 2024-01-30 Zhixing Zou , Jiao Wang

Systems of interest in physics are usually composed by a very large number of interacting particles. At equilibrium, these systems are described by stationary states of the many-body Hamiltonian (at zero temperature, by the ground state).…

Mathematical Physics · Physics 2012-10-08 Benjamin Schlein

The evolution of Bose-Einstein condensates is usually described by the famous time-dependent Gross-Pitaevskii equation, which assumes all bosons to reside in a single time-dependent orbital. In the present work we address the evolution of…

Other Condensed Matter · Physics 2007-05-23 O. E. Alon , A. I. Streltsov , L. S. Cederbaum

This paper presents the first experimental evidence of the transition from dynamical localization to delocalization under the influence of a quasi-periodic driving on a quantum system. A quantum kicked rotator is realized by placing cold…

Atomic Physics · Physics 2007-05-23 Jean Ringot , Pascal Szriftgiser , Jean-Claude Garreau , Dominique Delande

We investigate a many-body interacting system of quantum kicked rotors, where each rotor resides in its respective quantum resonance. Rich many-body dynamics are found to emerge from the interplay between the principal and secondary…

Quantum Physics · Physics 2026-04-16 Yangshuo Zhou , Jiao Wang

The dynamics of a nonconservative Gross-Pitaevskii equation for trapped atomic systems with attractive two-body interaction is numerically investigated, considering wide variations of the nonconservative parameters, related to atomic…

Statistical Mechanics · Physics 2009-11-07 Victo S. Filho , T. Frederico , Arnaldo Gammal , Lauro Tomio