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A periodically driven rotor is a prototypical model that exhibits a transition to chaos in the classical regime and dynamical localization (related to Anderson localization) in the quantum regime. In a recent work [Phys. Rev. B 94, 085120…

无序系统与神经网络 · 物理学 2017-02-07 Efim B. Rozenbaum , Victor Galitski

The relation between classically chaotic dynamics and quantum localization is studied in a system that violates the assumptions of Kolmogorov-Arnold-Moser (KAM) theorem, namely, kicked rotor in a discontinuous potential barrier. We show…

混沌动力学 · 物理学 2016-07-22 Sanku Paul , Harinder Pal , M. S. Santhanam

The quantum kicked rotor is a paradigmatic model system in quantum physics. As a driven quantum system, it is used to study the transition from the classical to the quantum world and to elucidate the emergence of chaos and diffusion. In…

The kicked rotor provides a simple yet powerful model for introducing many of the central concepts of classical and quantum chaos. Despite its apparent simplicity, it exhibits rich dynamical behavior and has found applications across a wide…

量子物理 · 物理学 2026-04-23 Giuliano Benenti , Giulio Casati , Jiangbin Gong , Zhixing Zou

We study the dynamics of the entanglement between two qubits coupled to a common chaotic environment, described by the quantum kicked rotator model. We show that the kicked rotator, which is a single-particle deterministic dynamical system,…

量子物理 · 物理学 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati

The quantum motion of $N$ coupled kicked rotors is mapped to an interacting $N$-particle Anderson-Aubry-Andr$\'e$ tight-binding problem supporting many-body localised (MBL) phases. Interactions in configuration space are known to be…

介观与纳米尺度物理 · 物理学 2019-01-29 L. A. Toikka , A. Andreanov

We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic…

量子物理 · 物理学 2015-06-23 Italo Guarneri , Giulio Casati , Volker Karle

Staring from the kicked rotator as a paradigm for a system exhibiting classical chaos, we discuss the role of quantum coherence resulting in dynamical localization in the kicked quantum rotator. In this context, the disorder-induced…

统计力学 · 物理学 2023-07-19 L. Chotorlishvili , S. Stagraczyński , M. Schüler , J. Berakdar

We study a system of two coupled kicked rotors, both classically and quantum mechanically, for a wide range of coupling parameters. This was motivated by two published reports, one of which reported quantum localization, while the other…

量子物理 · 物理学 2009-10-15 Borzumehr Toloui , Leslie E. Ballentine

Control over the quantum dynamics of chaotic kicked rotor systems is demonstrated. Specifically, control over a number of quantum coherent phenomena is achieved by a simple modification of the kicking field. These include the enhancement of…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Hans Jakob Worner , Paul Brumer

We investigate entanglement growth for a pair of coupled kicked rotors. For weak coupling, the growth of the entanglement entropy is found to be initially linear followed by a logarithmic growth. We calculate analytically the time after…

量子物理 · 物理学 2020-12-30 Sanku Paul , Arnd Bäcker

Systems of interacting bosons in double-well potentials, modeled by two-site Bose-Hubbard models, are of significant theoretical and experimental interest and attracted intensive studies in contexts ranging from many-body physics and…

量子物理 · 物理学 2024-09-04 Chenguang Liang , Yu Zhang , Shu Chen

We investigate dynamical many-body localization and delocalization in an integrable system of periodically-kicked, interacting linear rotors. The Hamiltonian we investigate is linear in momentum, and its Floquet evolution operator is…

无序系统与神经网络 · 物理学 2016-08-17 Aydin Cem Keser , Sriram Ganeshan , Gil Refael , Victor Galitski

The separation of the Schr\"{o}dinger equation into a Markovian and an interference term provides a new insight in the quantum dynamics of classically chaotic systems. The competition between these two terms determines the localized or…

量子物理 · 物理学 2009-11-07 A. Romanelli , A. C. Sicardi Schifino , G. Abal , R. Siri , R. Donangelo

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…

无序系统与神经网络 · 物理学 2020-04-22 Colin Rylands , Efim Rozenbaum , Victor Galitski , Robert Konik

The periodically $\delta$-kicked quantum linear rotor is known to experience non-classical bounded energy growth due to quantum dynamical localization in angular momentum space. We study the effect of random deviations of the kick period in…

光学 · 物理学 2015-04-02 Andrei Kamalov , Douglas W. Broege , Philip H. Bucksbaum

We study the classical and quantum dynamics of periodically kicked particles placed initially within an open double-barrier structure. This system does not obey the Kolmogorov-Arnold-Moser (KAM) theorem and displays chaotic dynamics. The…

混沌动力学 · 物理学 2015-05-19 Harinder Pal , M. S. Santhanam

In this work, we study quantum chaos by focusing on the evolution of initially close states in the dynamics of the Quantum Kicked Rotor (QKR). We propose a novel measure, the Quantum Lyapunov Exponent (QLE), to quantify the degree of chaos…

量子物理 · 物理学 2023-10-31 Varsha Gupta

Recently it was found that the dynamics in a Heisenberg spin-chain subjected to a sequence of periodic pulses from an external, parabolic, magnetic field can have a close correspondence with the quantum kicked rotor (QKR). The QKR is a key…

量子物理 · 物理学 2009-11-13 T. Boness , M. M. A. Stocklin , T. S. Monteiro

The phenomenon of quantum antiresonance (QAR), i.e., exactly periodic recurrences in quantum dynamics, is studied in a large class of nonintegrable systems, the modulated kicked rotors (MKRs). It is shown that asymptotic exponential…

凝聚态物理 · 物理学 2009-10-28 I. Dana , E. Eisenberg , N. Shnerb
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