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As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

地球与行星天体物理 · 物理学 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

We study the coherence dynamics of a kicked two-mode Bose-Hubbard model starting with an arbitrary coherent spin preparation. For preparations in the chaotic regions of phase-space we find a generic behavior with Flouquet participation…

量子气体 · 物理学 2013-01-22 Christine Khripkov , Doron Cohen , Amichay Vardi

We propose an anharmonic oscillator driven by two periodic forces of different frequencies as a new time-dependent model for investigating quantum dissipative chaos. Our analysis is done in the frame of statistical ensemble of quantum…

量子物理 · 物理学 2009-11-07 H. H. Adamyan , S. B. Manvelyan , G. Yu. Kryuchkyan

The phase ordering dynamics of coupled chaotic maps on fractal networks are investigated. The statistical properties of the systems are characterized by means of the persistence probability of equivalent spin variables that define the…

混沌动力学 · 物理学 2007-05-23 K. Tucci , M. G. Cosenza , O. Alvarez-Llamoza

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 --…

量子物理 · 物理学 2009-11-10 Salman Habib , Kurt Jacobs , Kosuke Shizume

We study the fluctuation properties of transition intensities applying a recently proposed generalization of the random matrix theory, which is based on Beck and Cohen's superstatistics. We obtain an analytic expression for the distribution…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd

Disordered systems are an important class of models in statistical mechanics, having the defining characteristic that the energy landscape is a fixed realization of a random field. Examples include various models of glasses and polymers.…

概率论 · 数学 2008-12-16 Sourav Chatterjee

This paper summarises an investigation of the effects of low amplitude noise and periodic driving on phase space transport in 3-D Hamiltonian systems, a problem directly applicable to systems like galaxies, where such perturbations reflect…

天体物理学 · 物理学 2009-10-31 Henry E. Kandrup , Ilya V. Pogorelov , Ioannis Sideris

We describe some general results that constrain the dynamical fluctuations that can occur in non-equilibrium steady states, with a focus on molecular dynamics. That is, we consider Hamiltonian systems, coupled to external heat baths, and…

统计力学 · 物理学 2017-11-22 Robert L. Jack , Marcus Kaiser , Johannes Zimmer

Analytical expressions for the width and conductance peak distributions of irregularly shaped quantum dots in the Coulomb blockade regime are presented in the limits of conserved and broken time-reversal symmetry. The results are obtained…

凝聚态物理 · 物理学 2009-10-28 Y. Alhassid , C. H. Lewenkopf

The stability of quantum systems to perturbations of the Hamiltonian is studied. This stability is quantified by the fidelity. Dependence of fidelity on the initial state as well as on the dynamical properties of the system is considered.…

量子物理 · 物理学 2007-05-23 Marko Znidaric

Multifractal dimensions allow for characterizing the localization properties of states in complex quantum systems. For ergodic states the finite-size versions of fractal dimensions converge to unity in the limit of large system size.…

统计力学 · 物理学 2019-10-30 Arnd Bäcker , Masudul Haque , Ivan M. Khaymovich

We examine the effect of structural disorder and dynamical lattice fluctuation on charge migration dynamics starting from a birth of local exciton in a quantum network of molecular aggregates by using model Hamiltonians having complicate…

化学物理 · 物理学 2020-04-01 Takehiro Yonehara

A recently developed wavelet based approach is employed to characterize the scaling behavior of spectral fluctuations of random matrix ensembles, as well as complex atomic systems. Our study clearly reveals anti-persistent behavior and…

混沌动力学 · 物理学 2009-11-11 P. Manimaran , Prasanta K. Panigrahi , P. Anantha Lakshmi

It is commonly expected that for quantum chaotic many body systems, the statistical properties approach those of random matrices when increasing the system size. We demonstrate for various kicked spin-1/2 chain models that the average…

量子物理 · 物理学 2025-01-30 Tabea Herrmann , Roland Brandau , Arnd Bäcker

We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3) gauge theory and in full QCD as well as in quenched U(1) theory on various lattice sizes. As a measure of the fluctuation properties of the eigenvalues, we…

高能物理 - 格点 · 物理学 2007-05-23 B. A. Berg , E. Bittner , M. -P. Lombardo , H. Markum , R. Pullirsch , T. Wettig

In the context of quantum chaos, both theory and numerical analysis predict large fluctuations of the tunnelling transition probabilities when irregular dynamics is present at the classical level. We consider here the non-dissipative…

混沌动力学 · 物理学 2009-10-31 A. Mouchet , C. Miniatura , R. Kaiser , B. Grémaud , D. Delande

Quantum dots are small conducting devices containing up to several thousand electrons. We focus here on closed dots whose single-electron dynamics are mostly chaotic. The mesoscopic fluctuations of the conduction properties of such dots…

介观与纳米尺度物理 · 物理学 2009-11-07 Y. Alhassid

We investigate the transition to quantum chaos, induced by static imperfections, for an operating quantum computer that simulates efficiently a dynamical quantum system, the sawtooth map. For the different dynamical regimes of the map, we…

量子物理 · 物理学 2007-05-23 G. Benenti , G. Casati , S. Montangero , D. L. Shepelyansky

Quantum-classical correspondence in conservative chaotic Hamiltonian systems is examined using a uniform structure measure for quantal and classical phase space distribution functions. The similarities and differences between quantum and…

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