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Assuming the validity of random matrices for describing the statistics of a closed chaotic quantum system, we study analytically some statistical properties of the S-matrix characterizing scattering in its open counterpart. In the first…

介观与纳米尺度物理 · 物理学 2016-08-31 Yan. V. Fyodorov , H. -J. Sommers

We propose a high-order stochastic-statistical moment closure model for efficient ensemble prediction of leading-order statistical moments and probability density functions in multiscale complex turbulent systems. The statistical moment…

数值分析 · 数学 2023-06-21 Di Qi , Jian-Guo Liu

A general theory of electronic excitations in aggregates of molecules coupled to intramolecular vibrations and the harmonic environment is developed for simulation of the third-order nonlinear spectroscopy signals. The model is applied in…

化学物理 · 物理学 2014-01-17 Vytautas Butkus , Leonas Valkunas , Darius Abramavicius

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these…

介观与纳米尺度物理 · 物理学 2009-10-31 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic , Harold U. Baranger

An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on…

量子物理 · 物理学 2022-09-21 Ronnie Kosloff Uriel Shafir

We address the problem posed by the inhomogeneous trapping fields when using ultracold fermions to simulate strongly correlated electrons. As a starting point, we calculate the density of states for a single atom. Using semiclassical…

统计力学 · 物理学 2007-05-23 C. Hooley , J. Quintanilla

Thomson scattering spectra measure the response of plasma particles to incident radiation. In warm dense matter, which is opaque to visible light, x-ray Thomson scattering (XRTS) enables a detailed probe of the electron distribution and has…

等离子体物理 · 物理学 2024-08-29 Thomas W. Hentschel , Alina Kononov , Andrew D. Baczewski , Stephanie B. Hansen

Model calculations that include the effects of irreversible, environmental couplings on top of a coupled-channels dynamical description of the collision of two complex nuclei are presented. The Liouville-von Neumann equation for the…

Ultracold Rydberg atom arrays are an emerging platform for quantum simulation and computing. However, decoherence in these systems remains incompletely understood. Recent experiments [Guardado-Sanchez et al. Phys. Rev. X 8, 021069 (2018)]…

量子气体 · 物理学 2025-01-27 Zewen Zhang , Ming Yuan , Bhuvanesh Sundar , Kaden R. A. Hazzard

A finite temperature model of strongly correlated nucleons with underlying isospin symmetries is developed. The model can be used to study the role of bound states and Feshbach resonances on the thermal properties of a spin 1/2, isospin 1/2…

核理论 · 物理学 2009-10-14 A. Z. Mekjian

The effects of higher order corrections in ultra-relativistic nuclear collisions are considered. It is found that higher order contributions are small at low energy, large at intermediate energy and small again at very high energy. An…

核理论 · 物理学 2008-11-26 John W. Norbury , Marsha L. Waldsmith

We study the fundamental tradeoffs between statistical accuracy and computational tractability in the analysis of high dimensional heterogeneous data. As examples, we study sparse Gaussian mixture model, mixture of sparse linear…

统计理论 · 数学 2018-08-22 Jianqing Fan , Han Liu , Zhaoran Wang , Zhuoran Yang

We investigate determining the exact bounds of the frequencies of conjunctions based on frequent sets. Our scenario is an important special case of some general probabilistic logic problems that are known to be intractable. We show that…

计算复杂性 · 计算机科学 2019-02-05 Nikolaj Tatti

Most literature on quantum collision models (CMs) usually considers periodic weak collisions featuring a fixed waiting time between two next collisions. Some works have yet addressed CMs with random waiting time and strong collisions…

量子物理 · 物理学 2022-11-23 Francesco Ciccarello

Statistical moments of particle multiplicities in heavy-ion collision experiments are an important probe in the exploration of the phase diagram of strongly interacting matter and, particularly, in the search for the QCD critical end point.…

高能物理 - 唯象学 · 物理学 2017-09-01 Maurício Hippert , Eduardo S. Fraga

We investigate the probability distribution function of the free flight time and of the number of collisions in a hard sphere gas at equilibrium. At variance with naive expectation, the latter quantity does not follow Poissonian statistics,…

统计力学 · 物理学 2008-04-24 P. Visco , F. van Wijland , E. Trizac

The statistics of scattering of waves inside single ray-chaotic enclosures have been successfully described by the Random Coupling Model (RCM). We expand the RCM to systems consisting of multiple complex ray-chaotic enclosures with variable…

Through a Metropolis-like algorithm with single step computational cost of order one, we build a Markov chain that relaxes to the canonical Fermi statistics for k non-interacting particles among m energy levels. Uniformly over the…

概率论 · 数学 2015-05-14 Alexandre Gaudilliere , Julien Reygner

Understanding and simulating how a quantum system interacts and exchanges information or energy with its surroundings is a ubiquitous problem, one which must be carefully addressed in order to establish a coherent framework to describe the…

量子物理 · 物理学 2021-05-25 Steve Campbell , Bassano Vacchini

We study inelastic processes for ultracold three-body systems in which only one interaction is resonant. We have found that the decay rates for weakly bound molecules due to collisions with other atoms can be suppressed not only without…

原子物理 · 物理学 2009-11-13 J. P. D'Incao , B. D. Esry