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Weakly perturbed integrable many-body systems are typically chaotic, and thermal at late times. However, there are distinct relationships between the timescales for thermalization and chaos. The typical relationship is confined chaos: when…

Statistical Mechanics · Physics 2025-08-19 Hyeongjin Kim , Robin Schäfer , David M. Long , Anatoli Polkovnikov , Anushya Chandran

We outline how unstable quantum fluctuations decohere classical fields in heavy ion collisions, leading to an equation of state and hydrodynamics. Explicit numerical realization of this framework in a scalar $\phi^4$ theory demonstrates…

High Energy Physics - Phenomenology · Physics 2012-10-24 Kevin Dusling , Thomas Epelbaum , Francois Gelis , Raju Venugopalan

This paper presents numerical evidence that for quantum systems with chaotic classical dynamics, the number of scattering resonances near an energy $E$ scales like $\hbar^{-\frac{D(K_E)+1}{2}}$ as $\hbar\to{0}$. Here, $K_E$ denotes the…

Spectral Theory · Mathematics 2025-10-20 Kevin K. Lin

In this article, we study the classical chaotic scattering of a He atom off a harmonically vibrating Cu surface. The three degrees of freedom (3- dof) model is studied by first considering the non-vibrating 2-dof model for different values…

Chaotic Dynamics · Physics 2020-03-24 Francisco Gonzalez , Florentino Borondo , Christof Jung

We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and…

We investigate hitherto unexplored regimes of probe scattering by atoms trapped in optical lattices: weak scattering by effectively random atomic density distributions and multiple scattering by arbitrary atomic distributions. Both regimes…

Atomic Physics · Physics 2009-11-06 M. Blaauboer , G. Kurizki , V. M. Akulin

While classical chaos is defined via a system's sensitive dependence on its initial conditions (SDIC), this notion does not directly extend to quantum systems. Instead, recent works have established defining both quantum and classical chaos…

Chaotic Dynamics · Physics 2025-12-15 Nachiket Karve , Nathan Rose , David Campbell

The onset of chaos and the mechanism of rotational damping are studied in an exactly soluble particle-rotor model. It is shown that the degree of chaoticity as inferred from the statistical measures is closely related to the onset of…

Nuclear Theory · Physics 2009-11-10 Javid A. Sheikh , Yang Sun

We analyze the origin and properties of the chaotic dynamics of two atomic ensembles in a driven-dissipative experimental setup, where they are collectively damped by a bad cavity mode and incoherently pumped by a Raman laser. Starting from…

Chaotic Dynamics · Physics 2020-10-06 Aniket Patra , Boris L. Altshuler , Emil A. Yuzbashyan

We show that a class of random all-to-all spin models, realizable in systems of atoms coupled to an optical cavity, gives rise to a rich dynamical phase diagram due to the pairwise separable nature of the couplings. By controlling the…

We report on the direct imaging of s and d partial-wave interference in cold collisions of atoms. Two ultracold clouds of Rb87 atoms were accelerated by magnetic fields to collide at energies near a d-wave shape resonance. The resulting…

Other Condensed Matter · Physics 2007-05-23 Nicholas R. Thomas , Niels Kjaergaard , Paul S. Julienne , Andrew C. Wilson

A Rydberg molecule is composed of an outer electron that collides on the residual ionic core. Typical states of Rydberg molecules display entanglement between the outer electron and the core. In this work we quantify the average…

Quantum Physics · Physics 2007-05-23 M Lombardi , A Matzkin

We report the numerical observation of scarring, that is enhancement of probability density around unstable periodic orbits of a chaotic system, in the eigenfunctions of the classical Perron-Frobenius operator of noisy Anosov ("cat") maps,…

Chaotic Dynamics · Physics 2021-05-12 Domenico Lippolis , Akira Shudo , Kensuke Yoshida , Hajime Yoshino

The one-dimensional scattering of a two body interacting system by an infinite wall is studied in a quantum-mechanical framework. This problem contains some of the dynamical features present in the collision of atomic, molecular and nuclear…

Nuclear Theory · Physics 2010-10-26 A. M. Moro , J. A. Caballero , J. Gomez-Camacho

Understanding the non-equilibrium dynamics of gauge theories remains a fundamental challenge in high-energy physics. Indeed, most large scale experiments on gauge theories intrinsically rely on very far-from equilibrium dynamics, from…

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…

Chaotic Dynamics · Physics 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

Quantum-classical correspondence in chaotic systems is a long-standing problem. We describe a method to quantify Bohr's correspondence principle and calculate the size of quantum numbers for which we can expect to observe quantum-classical…

Quantum Physics · Physics 2018-05-23 Meenu Kumari , Shohini Ghose

The collision of two ultra-cold atoms results in a quantum-mechanical superposition of two outcomes: each atom continues without scattering and each atom scatters as a spherically outgoing wave with an s-wave phase shift. The magnitude of…

Quantum Physics · Physics 2007-05-23 Russell A. Hart , Xinye Xu , Ronald Legere , Kurt Gibble

Energy level spectrum of protactinium atom (Pa, Z=91) is simulated with a CI calculation. Levels belonging to the separate manifolds of a given total angular momentum and parity $J^\pi$ exhibit distinct properties of many-body quantum…

Atomic Physics · Physics 2017-02-15 A. V. Viatkina , M. G. Kozlov , V. V. Flambaum

In quantum chaos, the spectral statistics generally follows the predictions of Random Matrix Theory (RMT). A notable exception is given by scar states, that enhance probability density around unstable periodic orbits of the classical…

Chaotic Dynamics · Physics 2022-07-19 Domenico Lippolis