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We investigate minimal two-body Hamiltonians with random interactions that generate spectra resembling those of Gaussian random matrices, a phenomenon we term quadratic quantum chaos. Unlike integrable two-body fermionic systems, the…

高能物理 - 理论 · 物理学 2026-04-16 Pallab Basu , Suman Das , Pratik Nandy

In order to study the resonance spectra of chaotic cavities subject to some damping (which can be due to absorption or partial reflection at the boundaries), we use a model of damped quantum maps. In the high-frequency limit, the…

混沌动力学 · 物理学 2009-04-23 Stéphane Nonnenmacher , Emmanuel Schenck

We derive quantitative estimates proving the propagation of chaos for large stochastic systems of interacting particles. We obtain explicit bounds on the relative entropy between the joint law of the particles and the tensorized law at the…

偏微分方程分析 · 数学 2018-10-17 Pierre-Emmanuel Jabin , Zhenfu Wang

Macroscopic systems subjected to injection and dissipation of energy can exhibit complex spatiotemporal behaviors as result of dissipative self-organization. Here, we report a one and two dimensional pattern forming set up, which exhibits a…

斑图形成与孤子 · 物理学 2016-08-24 Marcel G. Clerc , Gregorio González-Cortés , Vincent Odent , Mario Wilson

Chaotic systems, that have a small Lyapunov exponent, do not obey the common random matrix theory predictions within a wide "weak quantum chaos" regime. This leads to a novel prediction for the rate of heating for cold atoms in optical…

量子物理 · 物理学 2010-11-26 Alexander Stotland , Louis M. Pecora , Doron Cohen

The dynamics of dissipative many-body quantum systems sometimes admit an emergent classical description in terms of a Markov chain even though the corresponding state space contains highly entangled states. In particular, a bad-cavity laser…

We extended a previous qualitative study of the intermittent behaviour of a chaotical nucleonic system, by adding a few quantitative analyses: of the configuration and kinetic energy spaces, power spectra, Shannon entropies, and Lyapunov…

核理论 · 物理学 2009-12-22 D. Felea , C. C. Bordeianu , I. V. Grossu , C. Besliu , Al. Jipa , A. A. Radu , E. Stan

We present an analysis of chaos and regularity in the open Dicke model, when dissipation is due to cavity losses. Due to the infinite Liouville space of this model, we also introduce a criterion to numerically find a complex spectrum which…

量子物理 · 物理学 2024-01-12 David Villaseñor , Pablo Barberis-Blostein

This paper uses the assumptions of ergodicity and a microcanonical distribution to compute estimates of the largest Lyapunov exponents in lower-dimensional Hamiltonian systems. That the resulting estimates are in reasonable agreement with…

天体物理学 · 物理学 2009-11-07 Henry E. Kandrup , Ioannis V. Sideris , C. L. Bohn

The relation between the onset of chaos and critical phenomena, like Quantum Phase Transitions (QPT) and Excited-State Quantum Phase transitions (ESQPT), is analyzed for atom-field systems. While it has been speculated that the onset of…

混沌动力学 · 物理学 2016-08-12 J. Chávez-Carlos , M. A. Bastarrachea-Magnani , S. Lerma-Hernández , J. G. Hirsch

Isoscalar and isovector monopole oscillations that correspond to giant resonances in spherical nuclei are described in the framework of time-dependent relativistic mean-field theory. Time-dependent and self-consistent calculations that…

核理论 · 物理学 2009-10-30 Dario Vretenar , Peter Ring , Georgios A. Lalazissis , Wolfgang Poeschl

This article tackles a fundamental long-standing problem in quantum chaos, namely, whether quantum chaotic systems can exhibit sensitivity to initial conditions, in a form that directly generalizes the notion of classical chaos in phase…

量子物理 · 物理学 2020-04-08 Bin Yan , Wissam Chemissany

Signatures of chaos can be understood by studying quantum systems whose classical counterpart is chaotic. However, the concepts of integrability, non-integrability and chaos extend to systems without a classical analogue. Here, we first…

Fluids cooled to the liquid-vapor critical point develop system-spanning fluctuations in density that transform their visual appearance. Despite the rich phenomenology of this critical point, there is not currently an explanation of the…

统计力学 · 物理学 2020-10-09 Moupriya Das , Jason R. Green

We present a quantum-state-diffusion equation to characterize the dynamics of a generic atomic system coupled to a leaky cavity mode. As quantum resources, the population, the coherence and even the entanglement of the system would…

量子物理 · 物理学 2019-03-19 Yusui Chen , Quanzhen Ding , Wufu Shi , Jun Jing , Ting Yu

The dynamics of arbitrary-order quantum correlations in a cavity magnon-polariton system are investigated based on the quantum master equation in the coherent state representation. The phenomena of Rabi-like oscillation and level repulsion…

量子物理 · 物理学 2021-10-25 Guogan Zhao , Yong Wang , X. -F. Qian

Effect of a complicated many-body environment is analyzed on the chaotic motion of a quantum particle in a mesoscopic ballistic structure. The dephasing and absorption phenomena are treated on the same footing in the framework of a model…

介观与纳米尺度物理 · 物理学 2007-05-23 Valentin V. Sokolov

Everything you ever wanted to know about what has come to be known as ``chaotic mixing:'' This paper describes the evolution of localised ensembles of initial conditions in 2- and 3-D time-independent potentials which admit both regular and…

天体物理学 · 物理学 2009-10-30 Henry E. Kandrup

Mesoscopic devices, with system sizes in the range of several to several dozens wavelengths, represent paradigmatic model systems for the observation of quantum chaotic behaviour based on semiclassical concepts. Those electronic and…

量子物理 · 物理学 2026-04-15 Martina Hentschel

Integrable non-linear Hamiltonian systems perturbed by additive noise develop a Lyapunov instability, and are hence chaotic, for any amplitude of the perturbation. This phenomenon is related, but distinct, from Taylor's diffusion in…

混沌动力学 · 物理学 2014-01-03 Khanh-Dang Nguyen Thu Lam , Jorge Kurchan