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We explore the classical dynamics of two interacting rotating dipoles that are fixed in the space and exposed to an external homogeneous electric field. Kinetic energy transfer mechanisms between the dipoles are investigated varying both…

Chaotic Dynamics · Physics 2017-01-25 Rosario González-Férez , Manuel Iñarrea , J. Pablo Salas , Peter Schmelcher

We experimentally demonstrate a method for selecting small regions of phase space for kicked rotor quantum chaos experiments with cold atoms. Our technique uses quantum accelerator modes to selectively accelerate atomic wavepackets with…

Atomic Physics · Physics 2009-11-07 M. B. d'Arcy , R. M. Godun , D. Cassettari , G. S. Summy

A kicking sequence of the atom optics kicked rotor at quantum resonance can be interpreted as a quantum random walk in momentum space. We show how to steer such a random walk by applying a random sequence of intensities and phases of the…

We develop a system consisting of a quantum kicked rotor with an additional degree of freedom. This models a single two-level atom with internal ground and excited states, and it is characterized by its quantum resonances with ballistic…

Quantum Physics · Physics 2015-06-11 Guzmán Hernández , Alejandro Romanelli

We perform an extensive and detailed analysis of the generalized diffusion processes in deterministic area preserving maps with noncompact phase space, exemplified by the standard map, with the special emphasis on understanding the…

Chaotic Dynamics · Physics 2014-02-07 Thanos Manos , Marko Robnik

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

We investigate the directed momentum current in the quantum kicked rotor model with $\mathcal{PT}$ symmetric deriving potential. For the quantum non-resonance case, the values of quasi-energy become to be complex when the strength of…

Quantum Physics · Physics 2019-06-06 Wen-Lei Zhao , Jiaozi Wang , Xiaohui Wang , Peiqing Tong

A kinetic equation is derived for the phase density of a system of point particles, generating a system of integro-differential equations for distribution functions that have a deterministic meaning. The derivation took into account the…

Statistical Mechanics · Physics 2020-06-23 V. V. Zubkov , A. V. Zubkova

We investigate the effect of repeated measurement for quantum dynamics of the suppressed systems which classical counterparts exhibit chaos. The essential feature of such systems is the quantum localization phenomena strongly limiting…

Quantum Physics · Physics 2008-02-03 B. Kaulakys

We study diffusion of a particle in a system composed of K parallel channels, where the transition rates within the channels are quenched random variables whereas the inter-channel transition rate v is homogeneous. A variant of the strong…

Disordered Systems and Neural Networks · Physics 2015-05-14 R. Juhász , F. Iglói

We study quantum dynamics of a kicked relativistic spin-half particle in a one dimensional box. Time-dependence of the average kinetic energy and evolution of the wave packet are explored. Kicking potential is introduced as the…

Quantum Physics · Physics 2013-11-05 V. E. Eshniyazov , D. U. Matrasulov , J. R. Yusupov

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 present mean energy measurements for the atom optics kicked rotor as the kicking period tends to zero. A narrow resonance is observed marked by quadratic energy growth, in parallel with a complete freezing of the energy absorption away…

Quantum Physics · Physics 2009-11-11 Mark Sadgrove , Sandro Wimberger , Scott Parkins , Rainer Leonhardt

Quantum mechanical motion of a particle in a periodic asymmetric potential is studied theoretically at zero temperature. It is shown based on semi-classical approximation that the tunneling probability from one local minimum to the next…

Statistical Mechanics · Physics 2009-10-30 Gen Tatara , Macoto Kikuchi , Satoshi Yukawa , Hiroshi Matsukawa

For the quantum kicked top we study numerically the distribution of Hilbert-space vectors evolving in the presence of a small random perturbation. For an initial coherent state centered in a chaotic region of the classical dynamics, the…

chao-dyn · Physics 2009-10-22 Ruediger Schack , Giacomo M. D'Ariano , Carlton M. Caves

Controlling the translational motion of cold atoms using optical lattice potentials is of both theoretical and experimental interest. By designing two on-resonance time sequences of kicking optical lattice potentials, a novel connection…

Quantum Physics · Physics 2015-05-13 Jiao Wang , Anders S. Mouritzen , Jiangbin Gong

Using the key properties of chaos, i.e. ergodicity and exponential instability, as a resource to control classical dynamics has a long and considerable history. However, in the context of controlling "chaotic" quantum unitary dynamics, the…

Quantum Physics · Physics 2025-12-17 Lukas Beringer , Mathias Steinhuber , Klaus Richter , Steven Tomsovic

The dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators. Here, I exhibit a compact expression for the time reversal of a quantum operation, which is closely analogous to…

Quantum Physics · Physics 2008-04-03 Gavin E. Crooks

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

Stochastic processes with absorbing states feature remarkable examples of non-equilibrium universal phenomena. While a broad understanding has been progressively established in the classical regime, relatively little is known about the…

Statistical Mechanics · Physics 2016-06-23 M. Marcuzzi , M. Buchhold , S. Diehl , I. Lesanovsky