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The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the…

Quantum Physics · Physics 2014-03-13 Uta Naether , Juan José García-Ripoll , Juan José Mazo , David Zueco

A scheme to generate long-range spin-spin interactions between three-level ions in a chain is presented, providing a feasible experimental route to the rich physics of well-known $SU_3$ models. In particular, we demonstrate different…

Quantum Gases · Physics 2013-08-29 Tobias Graß , Bruno Julia-Diaz , Marek Kuś , Maciej Lewenstein

While the spontaneous emission from independent emitters provides spatially uncorrelated photons - a typical manifestation of quantum randomness, the interference of the coherent scattering leads to a well-defined intensity pattern - a…

Quantum Physics · Physics 2025-12-04 K. Singh , A. Cidrim , A. Kovalenko , T. Pham , O. Číp , L. Slodička , R. Bachelard

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

Most classical dynamical systems are chaotic. The trajectories of two identical systems prepared in infinitesimally different initial conditions diverge exponentially with time. Quantum systems, instead, exhibit quasi-periodicity due to…

A widely accepted definition of ``quantum chaos'' is ``the behavior of a quantum system whose \emph{classical} \emph{limit is chaotic}''. The dynamics of quantum-chaotic systems is nevertheless very different from that of their classical…

Quantum Physics · Physics 2016-08-16 Quentin Thommen , Jean Claude Garreau , Véronique Zehnlé

We introduce the notion of multi-dimensional chaos that applies to processes described by erratic functions of several dynamical variables. We employ this concept in the interpretation of classical and quantum scattering off a pinball…

High Energy Physics - Theory · Physics 2026-05-27 Massimo Bianchi , Maurizio Firrotta , Jacob Sonnenschein , Dorin Weissman

We consider a system composed of a trapped atom and a trapped ion. The ion charge induces in the atom an electric dipole moment, which attracts it with an r^{-4} dependence at large distances. In the regime considered here, the…

Quantum Physics · Physics 2009-11-13 Z. Idziaszek , T. Calarco , P. Zoller

Nonlinear dynamics in the fundamental interaction between a two-level atom with recoil and a quantized radiation field in a high-quality cavity is studied. We consider the strongly coupled atom-field system as a quantum-classical hybrid…

Quantum Physics · Physics 2011-11-09 S. V. Prants

We predict synchronization of the chaotic dynamics of two atomic ensembles coupled to a heavily damped optical cavity mode. The atoms are dissipated collectively through this mode and pumped incoherently to achieve a macroscopic population…

Quantum Gases · Physics 2019-09-05 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

We connect quantum graphs with infinite leads, and turn them to scattering systems. We show that they display all the features which characterize quantum scattering systems with an underlying classical chaotic dynamics: typical poles, delay…

Chaotic Dynamics · Physics 2009-11-07 Tsampikos Kottos , Uzy Smilansky

Ultra-cold atom-ion mixtures are gaining increasing interest due to their potential applications in quantum chemistry, quantum computing and many-body physics. Here, we studied the dynamics of a single ground-state cooled ion during few, to…

Atomic Physics · Physics 2017-05-09 Ziv Meir , Tomas Sikorsky , Ruti Ben-shlomi , Nitzan Akerman , Yehonatan Dallal , Roee Ozeri

We study cold heteronuclear atom ion collisions by immersing a trapped single ion into an ultracold atomic cloud. Using ultracold atoms as reaction targets, our measurement is sensitive to elastic collisions with extremely small energy…

Atomic Physics · Physics 2010-10-19 Christoph Zipkes , Stefan Palzer , Lothar Ratschbacher , Carlo Sias , Michael Köhl

The manner in which unpredictable chaotic dynamics manifests itself in quantum mechanics is a key question in the field of quantum chaos. Indeed, very distinct quantum features can appear due to underlying classical nonlinear dynamics. Here…

Quantum Physics · Physics 2014-03-07 G. B. Lemos , R. M. Gomes , S. P. Walborn , P. H. Souto Ribeiro , F. Toscano

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

Lifetimes of complexes formed during ultracold collisions are of current experimental interest as a possible cause of trap loss in ultracold gases of alkali-dimers. Microsecond lifetimes for complexes formed during ultracold elastic…

Atomic and Molecular Clusters · Physics 2020-09-21 J. F. E. Croft , N. Balakrishnan , B. K. Kendrick

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 scattering among three particles interacting through $1/r^2$ forces, with opposite charges and widely different masses, is studied in a coplanar geometry. The present work shows that at low impact velocities the output of the collision…

chao-dyn · Physics 2018-04-17 F. Sattin , L. Salasnich

Great advances in precision quantum measurement have been achieved with trapped ions and atomic gases at the lowest possible temperatures. These successes have inspired ideas to merge the two systems. In this way one can study the unique…

Quantum Physics · Physics 2023-03-21 T. Feldker , H. Fürst , H. Hirzler , N. V. Ewald , M. Mazzanti , D. Wiater , M. Tomza , R. Gerritsma

Coherent motion of cold atoms in a standing-wave field is interpreted as a propagation in two optical potentials. It is shown that the wave-packet dynamics can be either regular or chaotic with transitions between these potentials after…

Quantum Physics · Physics 2012-01-06 S. V. Prants