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The relation between classically chaotic dynamics and quantum localization is studied in a system that violates the assumptions of Kolmogorov-Arnold-Moser (KAM) theorem, namely, kicked rotor in a discontinuous potential barrier. We show…

Chaotic Dynamics · Physics 2016-07-22 Sanku Paul , Harinder Pal , M. S. Santhanam

The quantum and classical dynamics of particles kicked by a gaussian attractive potential are studied. Classically, it is an open mixed system (the motion in some parts of the phase space is chaotic, and in some parts it is regular). The…

Quantum Physics · Physics 2013-08-30 Yevgeny Krivolapov , Shmuel Fishman , Edward Ott , Thomas M. Antonsen

We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space displays stochastic web structures, and the diffusion…

chao-dyn · Physics 2012-07-30 Baowen Li , Jie Liu , Yan Gu , Bambi Hu

A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a…

Chaotic Dynamics · Physics 2009-01-05 Florian R. N. Koch , Florian Lenz , Christoph Petri , Fotis K. Diakonos , Peter Schmelcher

We study classical and quantum dynamics of a kicked relativistic particle confined in a one dimensional box. It is found that in classical case for chaotic motion the average kinetic energy grows in time, while for mixed regime the growth…

Quantum Physics · Physics 2018-09-05 J. R. Yusupov , D. M. Otajanov , V. E. Eshniyazov , D. U. Matrasulov

The classical and quantum dynamics of a particle trapped in a one-dimensional infinite square well with a time periodic pulsed field is investigated. This is a two-parameter non-KAM generalization of the kicked rotor, which can be seen as…

Chaotic Dynamics · Physics 2009-11-07 R. Sankaranarayanan , A. Lakshminarayan , V. B. Sheorey

Dynamics of the structured particles consisting of potentially interacting material points is considered in the framework of classical mechanics. Equations of interaction and motion of structured particles have been derived. The expression…

General Physics · Physics 2012-05-14 V. M. Somsikov

We study the quantum chaotic dynamics of an initially well-localized wave packet in a cosine potential perturbed by an external time-dependent force. For our choice of initial condition and with $\hbar$ small but finite, we find that the…

Condensed Matter · Physics 2009-10-22 B. S. Helmkamp , D. A. Browne

We have identified ultra-cold atoms in magneto-optical double-well potentials as a very clean setting in which to study the quantum and classical dynamics of a nonlinear system with multiple degrees of freedom. In this system, entanglement…

Quantum Physics · Physics 2007-05-23 Shohini Ghose , Paul M. Alsing , Ivan H. Deutsch

We study quantum particle dynamics in a box and driven by PT-symmetric, delta-kicking complex potential. Such dynamical characteristics as the average kinetic energy as function of time and quasi-energy at different values of the kicking…

Quantum Physics · Physics 2019-01-15 J. Yusupov , S. Rakhmanov , D. U. Matrasulov , H. Susanto

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 understanding of how classical dynamics can emerge in closed quantum systems is a problem of fundamental importance. Remarkably, while classical behavior usually arises from coupling to thermal fluctuations or random spectral noise, it…

Quantum Gases · Physics 2013-05-09 Bryce Gadway , Jeremy Reeves , Ludwig Krinner , Dominik Schneble

We present an investigation into effects exhibited by the two-frequency kicked rotor. Experiments were performed and in addition quantum and classical dynamics were simulated and compared with the experimental results. The experiments…

Quantum Physics · Physics 2007-05-23 T. G. Mullins , A. J. Hilliard , M. P. Sadgrove , M. D. Hoogerland , A. S. Parkins , R. Leonhardt

This paper is a brief review of classical and quantum transport phenomena, as well as related spectral properties, exhibited by one-dimensional periodically kicked systems. Two representative and fundamentally different classes of systems…

Chaotic Dynamics · Physics 2014-05-15 Itzhack Dana

We examine the quantum dynamics of cold atoms subjected to {\em pairs} of closely spaced $\delta$-kicks from standing waves of light, and find behaviour quite unlike the well-studied quantum kicked rotor (QKR). Recent experiments [Jones et…

Atomic Physics · Physics 2009-11-11 C. E. Creffield , S. Fishman , T. S. Monteiro

Despite the periodic kicks, a linear kicked rotor (LKR) is an integrable and exactly solvable model in which the kinetic energy term is linear in momentum. It was recently shown that spatially interacting LKRs are also integrable, and…

Quantum Physics · Physics 2025-08-11 Anjali Nambudiripad , J. Bharathi Kannan , M. S. Santhanam

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

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…

This paper examines numerically the complex classical trajectories of the kicked rotor and the double pendulum. Both of these systems exhibit a transition to chaos, and this feature is studied in complex phase space. Additionally, it is…

High Energy Physics - Theory · Physics 2010-11-02 Carl M. Bender , Joshua Feinberg , Daniel W. Hook , David J. Weir

We report an experimental and theoretical study of the dynamics of cold atoms subjected to closely-spaced pairs of pulses in an optical lattice. The experiments show the interplay between fully coherent quantum dynamics and a novel…

Atomic Physics · Physics 2009-11-10 P. H. Jones , M. Stocklin , G. Hur , T. S. Monteiro
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