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We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

无序系统与神经网络 · 物理学 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

Classical random matrix ensembles were originally introduced in physics to approximate quantum many-particle nuclear interactions. However, there exists a plethora of quantum systems whose dynamics is explained in terms of few-particle…

量子物理 · 物理学 2021-11-17 Manan Vyas , Thomas H. Seligman

Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the…

量子气体 · 物理学 2012-08-16 S. Tölle , H. -W. Hammer , B. C. Metsch

We report on a study of a classical, finite system of confined particles in two dimensions with a two-body repulsive interaction. We first develop a simple analytical method to obtain equilibrium configurations and energies for few…

凝聚态物理 · 物理学 2009-10-31 G. Date , M. V. N. Murthy , Radhika Vathsan

Many-body systems undergoing quantum phase transitions reveal substantial growth of non-classical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy.…

量子气体 · 物理学 2020-02-12 Damian Włodzyński , Daniel Pęcak , Tomasz Sowiński

The energy spectrum of two short-range interacting particles in a harmonic potential trap has previously been related to free-space scattering phase shifts. But the existing formula for this purpose is exact only in the limit of an…

核理论 · 物理学 2020-05-20 Xilin Zhang

The dynamics of a many-body system can take many forms, from a purely reversible evolution to fast thermalization. Here we show experimentally and numerically that an assembly of spin 1 atoms all in the same spatial mode allows one to…

量子气体 · 物理学 2021-02-22 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

We study the static and dynamical properties of isolated many-body quantum systems and compare them with the results for full random matrices. In doing so, we link concepts from quantum information theory with those from quantum chaos. In…

统计力学 · 物理学 2016-10-19 E. J. Torres-Herrera , Jonathan Karp , Marco Távora , Lea F. Santos

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

量子物理 · 物理学 2011-09-27 Glen Evenbly

We investigate a quantum many-body system with particles moving on a circle and subject to two-body and three-body potentials. In this new class of models, that extrapolates from the celebrated Calogero-Sutherland model and a system with…

量子物理 · 物理学 2017-11-22 Tarun R. Tummuru , Sudhir R. Jain , Avinash Khare

The field of complex self-assembly is moving toward the design of multi-particle structures consisting of thousands of distinct building blocks. To exploit the potential benefits of structures with such `addressable complexity,' we need to…

软凝聚态物质 · 物理学 2015-06-02 William M. Jacobs , Aleks Reinhardt , Daan Frenkel

We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that…

统计力学 · 物理学 2017-08-03 Lea F. Santos , E. Jonathan Torres-Herrera

It is often assumed that few- and many-body systems can be accurately described by considering only pairwise two-body interactions of the constituents. We illustrate that three- and higher-body forces enter naturally in effective field…

核理论 · 物理学 2013-02-08 H. -W. Hammer , A. Nogga , A. Schwenk

The symmetry and topology of the coincidence structure, i.e. the locus of points in configuration space corresponding to particles in the same position, plays a critical role in extracting universal properties for few-body models with…

量子物理 · 物理学 2018-07-04 N. L. Harshman , Adam Knapp

We examine how effective-model-space (EMS) calculations of nuclear many-body systems rearrange and converge multi-particle entanglement. The generalized Lipkin-Meshkov-Glick (LMG) model is used to motivate and provide insight for future…

核理论 · 物理学 2024-01-02 S. Momme Hengstenberg , Caroline E. P. Robin , Martin J. Savage

We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation.Surprisingly we find patterns reminiscent of more orderly interactions,…

核理论 · 物理学 2009-10-31 C. W. Johnson , G. F. Bertsch , D. J. Dean

The appearance of charged-particle clustering in near-threshold configuration is a phenomenon that can be explained in the Open Quantum System description of the atomic nucleus. In this work we apply the realistic Shell Model Embedded in…

核理论 · 物理学 2019-05-22 J. Okołowicz , M. Płoszajczak , W. Nazarewicz

The path from understanding a simple reaction problem of scattering or tunneling to contemplating the quantum nuclear many-body system, where structure and continuum of reaction-states meet, overlap and coexist, is a complex and nontrivial…

核理论 · 物理学 2009-06-25 Naureen Ahsan , Alexander Volya

The system is described by three mass-shell constraints. After a nonlinear transformation of the momenta, the analytic form taken by admissible interactions (allowing compatibility) is characterized in terms of the new variables. These…

高能物理 - 唯象学 · 物理学 2009-11-11 Philippe Droz-Vincent

In the last twenty years, Rydberg atoms have become a versatile and much studied system for implementing quantum many-body systems in the framework of quantum computation and quantum simulation. However, even in the absence of coherent…

量子物理 · 物理学 2018-10-12 O. Morsch , I. Lesanovsky