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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

We demonstrate that the current laser technology used for field-free molecular alignment via a cascade of Raman rotational transitions allows for observing long-discussed non-linear quantum phenomena in the dynamics of the periodically…

Quantum Physics · Physics 2015-05-30 Johannes Floß , Ilya Sh. Averbukh

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

The periodically kicked quantum rotor is known for non-classical effects such as quantum localisation in angular momentum space or quantum resonances in rotational excitation. These phenomena have been studied in diverse systems mimicking…

Quantum Physics · Physics 2015-11-18 Johannes Floß , Andrei Kamalov , Ilya Sh. Averbukh , Philip H. Bucksbaum

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

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 consider a two-dimensional (2D) generalization of the standard kicked-rotor (KR) and show that it is an excellent model for the study of 2D quantum systems with underlying diffusive classical dynamics. First we analyze the distribution…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tsampikos Kottos , Alexander Ossipov , Theo Geisel

We study the fate of dynamical localization of two quantum kicked rotors with contact interaction. This interaction mimics experimental realizations with ultracold atomic gases. Dynamical localization for a single rotor takes place in…

Quantum Gases · Physics 2016-06-30 Pinquan Qin , Alexei Andreanov , Hee Chul Park , Sergej Flach

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

We study the resonances of the quantum kicked rotor subjected to an excitation that follows a deterministic time-dependent prescription. For the primary resonances we find an analytical relation between the long-time behavior of the…

Quantum Physics · Physics 2015-05-14 A. Romanelli , Guzmán Hernández

We present experimental observations of diffusion resonances for the quantum kicked rotor with weak decoherence. Cold caesium atoms are subject to a pulsed standing wave of near-resonant light, with spontaneous emission providing…

It is shown that optimum control of dynamical localization (quantum suppression of classical diffusion) in the context of ultracold atoms in periodically shaken optical lattices subjected to time-periodic forces having equidistant zeros…

Quantum Physics · Physics 2014-09-17 F. Revuelta , R. Chacón , F. Borondo

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…

The paper explores the prospects of observing the phenomenon of dynamical Anderson localisation via non-resonant Raman-type rotational excitation of molecules by periodic trains of short laser pulses. We define conditions for such an…

Quantum Physics · Physics 2013-08-14 Johannes Floß , Shmuel Fishman , Ilya Sh. Averbukh

Extensive coherent control over quantum chaotic diffusion using the kicked rotor model is demonstrated and its origin in deviations from random matrix theory is identified. Further, the extent of control in the presence of external…

Quantum Physics · Physics 2009-11-06 Jiangbin Gong , Paul Brumer

One major objective of controlling classical chaotic dynamical systems is exploiting the system's extreme sensitivity to initial conditions in order to arrive at a predetermined target state. In a recent letter [Phys.~Rev.~Lett. 130, 020201…

Quantum Physics · Physics 2023-09-06 Steven Tomsovic , Juan Diego Urbina , Klaus Richter

We present a quantum localization phenomenon that exists in periodically kicked 3D rotors, but is absent in the commonly studied 2D ones: edge localization. We show that under the condition of a fractional quantum resonance there are states…

Quantum Physics · Physics 2015-06-11 Johannes Floß , Ilya Sh. Averbukh

We experimentally verify the analytical expressions that exist for the diffusion rate in the quantum delta kicked rotor system for small numbers of kicks. We show development of diffusion resonances from two to five kicks, and of multiple…

Quantum Physics · Physics 2007-07-18 S. A. Wayper , W. Simpson , M. D. Hoogerland

We consider the quantum counterpart of the kicked harmonic oscillator showing that it undergoes the effect of delocalization in momentum when the classical diffusional threshold is obeyed. For this case the ratio between the oscillator…

chao-dyn · Physics 2016-08-31 Marco Frasca

Quantum interference can terminate energy growth in a continually kicked system, via a single-particle ergodicity-breaking mechanism known as dynamical localization. The effect of many-body interactions on dynamically localized states,…