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The dynamics of nonlocally coupled dissipative kicked rotors is rich and complex. In this study, we consider a network of rotors where each interacts equally with a certain range of its neighbors. We focus on the influence of the coupling…

Chaotic Dynamics · Physics 2025-11-26 Jin Yan

The dynamical status of isolated quantum systems, partly due to the linearity of the Schrodinger equation is unclear: Conventional measures fail to detect chaos in such systems. However, when quantum systems are subjected to observation --…

Quantum Physics · Physics 2009-11-10 Salman Habib , Kurt Jacobs , Kosuke Shizume

We present an experimental and numerical study of the effects of decoherence on a quantum system whose classical analogue has Kolmogorov-Arnol'd-Moser (KAM) tori in its phase space. Atoms are prepared in a caesium magneto-optical trap at…

Quantum Physics · Physics 2009-10-31 G. H. Ball , K. M. D. Vant , H. Ammann , N. L. Christensen

Various physical effects resulting from decoherence are discussed in the algebraic framework. In particular, it is shown that the environment may induce not only classical properties like superselection rules, pointer states or even…

Mathematical Physics · Physics 2009-11-10 Ph. Blanchard , P. Lugiewicz , R. Olkiewicz

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

In spite of its popularity, it has not been possible to vindicate the conventional wisdom that classical mechanics is a limiting case of quantum mechanics. The purpose of the present paper is to offer an alternative formulation of classical…

Quantum Physics · Physics 2015-02-16 Partha Ghose

Integrability of a square billiard is spontaneously broken as it rotates about one of its corners. The system becomes quasi-integrable where the invariant tori are broken with respect to a certain parameter, $\lambda = 2E/\omega^{2}$ where…

Chaotic Dynamics · Physics 2014-06-13 Nandan Jha , Sudhir R. Jain

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 study the time evolution of classical and quantum correlations for hybrid qubit-qutrit systems in independent and common classical dephasing environments. Our discussion involves a comparative analysis of the Markovian dynamics of…

Quantum Physics · Physics 2012-02-03 G. Karpat , Z. Gedik

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…

Quantum Physics · Physics 2009-10-15 Borzumehr Toloui , Leslie E. Ballentine

The physics of individual Q-balls and interactions between multiple Q-balls are well-studied in classical numerical simulations. Interesting properties and phenomena have been discovered, involving stability, forces, collisions and swapping…

High Energy Physics - Theory · Physics 2023-12-05 Qi-Xin Xie , Paul M. Saffin , Anders Tranberg , Shuang-Yong Zhou

We experimentally investigate the effect of atomic $\delta$-kicked rotor potentials on the mutual coherence between wavepackets in an atom interferometer. The differential action of the kicked rotor degrades the mutual coherence, leading to…

Atomic Physics · Physics 2013-05-29 Saijun Wu , Alexey Tonyushkin , Mara G. Prentiss

The standard generic quantum computer model is studied analytically and numerically and the border for emergence of quantum chaos, induced by imperfections and residual inter-qubit couplings, is determined. This phenomenon appears in an…

Quantum Physics · Physics 2009-11-06 D. L. Shepelyansky

Quantum chaos refers to signatures of classical chaos found in the quantum domain. Recently, it has become common to equate the exponential behavior of out-of-time order correlators (OTOCs) with quantum chaos. The quantum-classical…

During the past decade, the experimental development of being able to create ever larger and heavier quantum superpositions has brought the discussion of the connection between microscopic quantum mechanics and macroscopic classical physics…

Quantum Physics · Physics 2010-04-29 Jasper van Wezel

Quantum walks have gained significant attention over the past decades, mainly because of their variety of implementations and applications. Atomic quantum walks are typically subject to spontaneous emissions arising from the control fields.…

Quantum Physics · Physics 2024-06-27 Nikolai Bolik , Sandro Wimberger

The decoherence induced on a single qubit by its interaction with the environment is studied. The environment is modelled as a scalar two-level boson system that can go through either first order or continuous excited state quantum phase…

Quantum Physics · Physics 2015-05-14 P. Perez-Fernandez , A. Relano , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We propose a novel approach to the problem of a transition from quantum to classical behavior in mesoscopic spin systems. This paper is intended to demonstrate that main cause of such transitions is quantum decoherence which appear as a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. V. Makhro

We consider the quantum counterpart of the kicked harmonic oscillator showing that it undergoes the effect of delocalization in momentum when the classical diffusional threshold is obeyed. For this case the ratio between the oscillator…

chao-dyn · Physics 2016-08-31 Marco Frasca

We study scrambling in a model consisting of a number $N$ of $M$-component quantum rotors coupled by random infinite-range interactions. This model is known to have both a paramagnetic phase and a spin glass phase separated by second order…

Disordered Systems and Neural Networks · Physics 2019-01-30 Gong Cheng , Brian Swingle