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We present numerical evidence that in a system of interacting bosons there exists a correspondence between the spectral properties of the exact quantum Hamiltonian and the dynamical chaos of the associated mean field evolution. This…

凝聚态物理 · 物理学 2008-11-26 Patrizia Castiglione , Giovanni Jona-Lasinio , Carlo Presilla

We derive the statistical limit of the spectral autocorrelation function and of the survival probability for the indirect photodissociation of molecules in the regime of non-overlapping resonances. The results are derived in the framework…

chao-dyn · 物理学 2016-09-28 Y. Alhassid , Yan V. Fyodorov

We present a systematic construction of probes into the dynamics of isospectral ensembles of Hamiltonians by the notion of Isospectral twirling, expanding the scopes and methods of ref.[1]. The relevant ensembles of Hamiltonians are those…

量子物理 · 物理学 2021-03-31 Salvatore F. E. Oliviero , Lorenzo Leone , Francesco Caravelli , Alioscia Hamma

We use a composite gravitational galactic model consisting of a disk, a halo, a massive nucleus and a strong nuclear bar, in order to study the connections between global and local parameters in a realistic dynamical system. The local model…

星系天体物理 · 物理学 2012-05-01 Euaggelos E. Zotos

A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by…

量子物理 · 物理学 2023-01-18 Vladimir A. Yurovsky

We investigate the influence of interactions and geometry on ground states of clean chaotic quantum dots using the self-consistent Hartree-Fock method. We find two distinct regimes of interaction strength: While capacitive energy…

无序系统与神经网络 · 物理学 2009-10-31 Kang-Hun Ahn , Klaus Richter , In-Ho Lee

We study matrix element fluctuations of the two-body screened Coulomb interaction and of the one-body surface charge potential in ballistic quantum dots. For chaotic dots, we use a normalized random wave model to obtain analytic expansions…

介观与纳米尺度物理 · 物理学 2009-09-21 L. Kaplan , Y. Alhassid

A variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the…

核理论 · 物理学 2009-11-07 V. Velazquez , J. G. Hirsch , A. Frank , A. P. Zuker

We investigate beyond-mean-field dynamics in a fully connected $\mathrm{SU}(3)$ spin-exchange model, focusing on the interplay between chaotic dynamics and quantum fluctuations. Using the two-particle irreducible (2PI) effective action…

统计力学 · 物理学 2026-05-27 Aleksandra A. Ziolkowska , Aleksandr N. Mikheev

We consider a system of $N$ disordered mean-field interacting diffusions within spatial constraints: each particle $\theta_i$ is attached to one site $x_i$ of a periodic lattice and the interaction between particles $\theta_i$ and…

概率论 · 数学 2020-01-16 Eric Luçon , Wilhelm Stannat

The multiscaling properties of the mixed Obukhov-Novikov shell model of turbulence are investigated numerically and compared with those of the complex GOY model, mostly studied in the recent years. Two types of generic singular fluctuations…

chao-dyn · 物理学 2008-02-03 Thierry Dombre , Jean-Louis Gilson

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

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

流体动力学 · 物理学 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

Far too often are multiparticle final states studied and models tested on merely single-particle spectra and their integrals, the average multiplicities: A multiparticle final state is a non-linear, complex system and the essential…

高能物理 - 唯象学 · 物理学 2017-08-23 Wolfram Kittel

We investigate the spectral fluctuation properties of constrained ensembles of random matrices (defined by the condition that a number N(Q) of matrix elements vanish identically; that condition is imposed in unitarily invariant form) in the…

数学物理 · 物理学 2009-11-13 Z. Pluhar , H. A. Weidenmueller

A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the configurations of locked solutions (equilibria) and how the…

混沌动力学 · 物理学 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

We discuss an approach for studying the properties of mesoscopic systems, where discrete and continuum parts of the spectrum are equally important. The approach can be applied (i) to stable heavy nuclei and complex atoms near the continuum…

介观与纳米尺度物理 · 物理学 2014-07-29 G. L. Celardo , F. M. Izrailev , S. Sorathia , V. G. Zelevinsky , G. P. Berman

We investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic…

介观与纳米尺度物理 · 物理学 2009-11-10 Ph. Jacquod , E. V. Sukhorukov

The canonical-ensemble description of reactive quantum gas mixtures is reformulated by incorporating a single global particle-number-conservation constraint over the combined spectra of inter-converting species. This constraint replaces the…

量子物理 · 物理学 2026-02-23 Diogo J. L. Rodrigues

The phenomenom of emerging regular spectral features from random interactions is addressed in the context of the interacting boson model. A mean-field analysis links different regions of the parameter space with definite geometric shapes.…

核理论 · 物理学 2017-11-03 Roelof Bijker