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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

When classical systems fail to explore their entire configurational space, intriguing macroscopic phenomena like aging and glass formation may emerge. Also closed quanto-mechanical systems may stop wandering freely around the whole Hilbert…

Statistical Mechanics · Physics 2012-02-07 Giuseppe Carleo , Federico Becca , Marco Schiró , Michele Fabrizio

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

The eigenstates of a chaotic system can be enhanced along underlying unstable periodic orbits in so-called quantum scars, making it more likely for a particle launched along one such orbits to be found still there at long times. Unstable…

Quantum Physics · Physics 2025-04-09 Andrea Pizzi

We study a one-dimensional gas of hard rods trapped in a harmonic potential, which breaks integrability of the hard-rod interaction in a non-uniform way. We explore the consequences of such broken integrability for the dynamics of a large…

Statistical Mechanics · Physics 2018-04-20 Xiangyu Cao , Vir B. Bulchandani , Joel E. Moore

In this paper a formalism for studying the dynamics of quantum systems coupled to classical spin environments is reviewed. The theory is based on generalized antisymmetric brackets and naturally predicts open-path off-diagonal geometric…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi

We study the quantum behaviour of chaotic billiards which exhibit classically diffusive behaviour. In particular we consider the stadium billiard and discuss how the interplay between quantum localization and the rich structure of the…

Condensed Matter · Physics 2009-10-31 Giulio Casati , Tomaz Prosen

We present a comprehensive theory of resonance-assisted tunneling in quantum systems that exhibit a mixed regular-chaotic classical phase space structure. After general considerations, we specifically focus on quantum systems with one…

Chaotic Dynamics · Physics 2011-05-27 Peter Schlagheck , Amaury Mouchet , Denis Ullmo

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 experimentally and numerically investigate the quantum accelerator mode dynamics of an atom optical realization of the quantum delta-kicked accelerator, whose classical dynamics are chaotic. Using a Ramsey-type experiment, we observe…

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

We investigate a quantum algorithm which simulates efficiently the quantum kicked rotator model, a system which displays rich physical properties, and enables to study problems of quantum chaos, atomic physics and localization of electrons…

Quantum Physics · Physics 2007-05-23 B. Levi , B. Georgeot , D. L. Shepelyansky

The question of whether interactions can break dynamical localization in quantum kicked rotor systems has been the subject of a long--standing debate. Here, we introduce an extended mapping from the kicked Lieb--Liniger model to a…

Quantum Gases · Physics 2026-03-24 Ang Yang , Zekai Chen , Yanliang Guo , Manuele Landini , Hanns-Christoph Nägerl , Lei Ying

We investigate the two-dimensional classical dynamics of the scattering of point particles by two periodically oscillating disks. The dynamics exhibits regular and chaotic scattering properties, as a function of the initial conditions and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Antillon , Jorge V. Jose , T. H. Seligman

We consider transport properties of a double delta-kicked system, in a regime where all the symmetries (spatial and temporal) that could prevent directed transport are removed. We analytically investigate the (non trivial) behavior of the…

Chaotic Dynamics · Physics 2009-11-13 Lucia Cavallasca , Roberto Artuso , Giulio Casati

Bose-Einstein condensates subject to short pulses (`kicks') from standing waves of light represent a nonlinear analogue of the well-known chaos paradigm, the quantum kicked rotor. Previous studies of the onset of dynamical instability (ie…

Quantum Physics · Physics 2009-11-13 J. Reslen , C. E. Creffield , T. S. Monteiro

We investigate the effects of classical stickiness (orbits temporarily confined to a region of the chaotic phase space) to the structures of the quantum states of an open system. We consider the standard map of the kicked rotor and verify…

Quantum Physics · Physics 2024-07-15 Miguel A. Prado Reynoso , Edson M. Signor , Sandra D. Prado , Lea F. Santos

Periodically driven dynamics of open quantum systems is very interesting because typically non-equilibrium steady state is reached, which is characterized by a non-vanishing current. In this work, we study time discrete and periodically…

Quantum Physics · Physics 2021-07-19 Yong-Nan Sun , Kimmo Luoma , Zhao-Di Liu , Jyrki Piilo , Chuan-Feng Li , Guang-Can Guo

Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos", including period-doubling, i.e. the system evolves with a period which is twice that of the driving. However, typically the attractor of a…

Quantum Physics · Physics 2018-02-07 Reuben R. W. Wang , Bo Xing , Gabriel G. Carlo , Dario Poletti

We make an attempt to describe Carroll particles with a non-vanishing value of energy (i.e. the Carroll particles which always stay in rest) in the framework of two time physics, developed in the series of papers by I. Bars and his…

High Energy Physics - Theory · Physics 2024-09-10 Alexander Kamenshchik , Federica Muscolino

It is considered, in the framework of constrained systems, the quantum dynamics of non-relativistic particles moving on a d-dimensional Riemannian manifold M isometrically embedded in $R^{d+n}$. This generalizes recent investigations where…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alberto Saa
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