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We discuss quantum dynamics in multi-dimensional non-linear systems. It is well-known that wave functions are localized in a kicked rotor model. However, coupling with other degrees of freedom breaks the localization. In order to clarify…

Quantum Physics · Physics 2007-05-23 Hiroto Kubotani

The Kicked Rotor is perhaps the simplest physical model to illuminate the transition from regular to chaotic motion in classical mechanics. It is also widely applied as a model of light-matter interactions. In the conventional treatment,…

Chaotic Dynamics · Physics 2024-12-31 Jonathan Berkheim , Shaked Levy , David J. Tannor

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

We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-Andr\'{e} model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a…

Disordered Systems and Neural Networks · Physics 2022-08-26 Yu Zhang , Bozhen Zhou , Haiping Hu , Shu Chen

We study the localization aspects of a kicked non-interacting one-dimensional (1D) quantum system subject to either time-periodic or non-periodic pulses. These are reflected as sudden changes of the onsite energies in the lattice with…

Disordered Systems and Neural Networks · Physics 2017-10-04 T. Cadez , R. Mondaini , P. D. Sacramento

While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized…

Disordered Systems and Neural Networks · Physics 2015-09-28 N. Moure , S. Haas , S. Kettemann

Using the multilayer convolutional neural network (CNN), we can detect the quantum phases in random electron systems, and phase diagrams of two and higher dimensional Anderson transitions and quantum percolations as well as disordered…

Disordered Systems and Neural Networks · Physics 2021-05-11 Tomohiro Mano , Tomi Ohtsuki

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a…

Disordered Systems and Neural Networks · Physics 2016-02-24 Rajeev Singh , Jens H. Bardarson , Frank Pollmann

We study the dynamics of cold atoms subjected to {\em pairs} of closely time-spaced $\delta$-kicks from standing waves of light. The classical phase space of this system is partitioned into momentum cells separated by trapping regions. In a…

Atomic Physics · Physics 2015-06-26 Jiao Wang , Antonio M. Garcia-Garcia

Experimental progress in atomic, molecular, and optical platforms in the last decade has stimulated strong and broad interest in the quantum coherent dynamics of many long-range interacting particles. The prominent collective character of…

Quantum Gases · Physics 2024-05-30 Nicolò Defenu , Alessio Lerose , Silvia Pappalardi

Recent developments in quantum gas microscopy open up the possibility of real-time observation of quantum many-body systems. To understand the dynamics of atoms under such circumstances, we formulate the dynamics under a real-time spatially…

Quantum Physics · Physics 2017-03-01 Yuto Ashida , Masahito Ueda

We investigate dynamical tunneling in many dimensional systems using a quasi-periodically modulated kicked rotor, and find that the tunneling rate from the torus to the chaotic region is drastically enhanced when the chaotic states become…

Chaotic Dynamics · Physics 2010-06-04 Akiyuki Ishikawa , Atushi Tanaka , Akira Shudo

We use thermalization indicators and numerical linked cluster expansions to probe the onset of many-body localization in a disordered one-dimensional hard-core boson model in the thermodynamic limit. We show that after equilibration…

Statistical Mechanics · Physics 2015-04-24 Baoming Tang , Deepak Iyer , Marcos Rigol

We examine the effect of the initial atomic momentum distribution on the dynamics of the atom-optical realisation of the quantum kicked rotor. The atoms are kicked by a pulsed optical lattice, the periodicity of which implies that…

Atomic Physics · Physics 2007-05-23 Sandro Wimberger , Mark Sadgrove

Quantum resonance in the paradigmatic kicked rotor system is a purely quantum effect that ignores the state of underlying classical chaos. In this work, it is shown that quantum resonance leads to superlinear entanglement production. In…

Quantum Physics · Physics 2024-10-07 Sanku Paul , J. Bharathi Kannan , M. S. Santhanam

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical…

Quantum Physics · Physics 2022-11-22 Zongping Gong , Ryusuke Hamazaki

We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos, localization and Anderson transition can be…

Quantum Physics · Physics 2009-11-06 B. Georgeot , D. L. Shepelyansky

We show that a quantum dynamical localization effect can be observed in a generic thermalization process of two weakly-coupled chaotic subsystems. Specifically, our model consists of the minimal experimentally relevant subsystems that…

Quantum Gases · Physics 2020-04-06 Christine Khripkov , Amichay Vardi , Doron Cohen

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

We review a recently proven Lieb-Robinson bound for general, many-body quantum systems with bounded interactions. Several basic examples are discussed as well as the connection between commutator estimates and quasi-locality.

Mathematical Physics · Physics 2017-08-23 Robert Sims
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