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We propose to go beyond the usual Hubbard model description of atoms in optical lattices and show how few-body physics can be used to simulate many-body phenomena, e.g., an electron-phonon system. We take one atomic species to be trapped in…

Quantum Gases · Physics 2014-09-26 Zhihao Lan , Carlos Lobo

We consider two bosonic atoms interacting with a short-range potential and trapped in a spherically symmetric harmonic oscillator. The problem is exactly solvable and is relevant for the study of ultra-cold atoms. We show that the energy…

Atomic Physics · Physics 2015-05-13 Patrick Shea , Brandon P. van Zyl , Rajat K. Bhaduri

The quantum mechanical few-body problem at ultracold energies poses severe challenges to theoretical techniques, particularly when long-range interactions are present that decay only as a power-law potential. In this paper we review the…

Atomic Physics · Physics 2015-09-02 Yujun Wang , P. S. Julienne , Chris H. Greene

After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is…

Nuclear Theory · Physics 2015-05-13 Omar Benhar

The dynamics of ultracold neutral atoms subject to a non-Abelian gauge field is investigated. In particular we analyze in detail a simple experimental scheme to achieve a constant, but non-Abelian gauge field, and discuss in the frame of…

Other Condensed Matter · Physics 2009-03-19 A. Jacob , P. Ohberg , G. Juzeliunas , L. Santos

Here, we develop a comprehensive quantum theory for the phenomenon of quantum friction. Based on a theory of macroscopic quantum electrodynamics for unstable systems, we calculate the quantum expectation of the friction force, and link the…

Quantum Physics · Physics 2015-06-16 Mario G. Silveirinha

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

Mathematical Physics · Physics 2007-05-23 Jamal Berakdar

We report on signatures of classical chaos in ultracold collisions between a trapped ion and a free atom. Using numerical simulations, we show that the scattering dynamics can be highly sensitive to initial conditions for various mass…

Atomic Physics · Physics 2024-02-01 Meirav Pinkas , Jonathan Wengrowicz , Nitzan Akerman , Roee Ozeri

Quantum theory is proposed of high energy electrons scattering in ultrathin crystals. This theory is based upon a special representation of the scattering amplitude in the form of the integral over the surface surrounding the crystal, and…

Accelerator Physics · Physics 2017-03-29 N. F. Shul'ga , S. N. Shulga

We study the three-body problem of two ultracold identical bosonic atoms (denoted by $B$) and one extra atom (denoted by $X$), where the scattering length $a_{BX}$ between each bosonic atom and atom $X$ is resonantly large and positive. We…

Quantum Gases · Physics 2018-04-11 Chao Gao , Peng Zhang

We present a simple picture that provides the energy and scattering length dependence for all inelastic three-body collision rates in the ultracold regime for three-body systems with short range two-body interactions. In particular, we…

Other Condensed Matter · Physics 2007-05-23 J. P. D'Incao , B. D. Esry

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping potential and leads to a situation where the…

Quantum Physics · Physics 2022-07-22 Christopher Campbell , Thomás Fogarty , Thomas Busch

The adhesion between dry solid surfaces is typically governed by contact forces, involving surface forces and elasticity. For surfaces immersed in a fluid, out-of-contact adhesion arises due to the viscous resistance to the opening of the…

Soft Condensed Matter · Physics 2024-09-18 Vincent Bertin , Alexandros T. Oratis , Jacco H. Snoeijer

Strong disorder often has drastic consequences for quantum dynamics. This is best illustrated by the phenomenon of Anderson localization in non-interacting systems, where destructive quantum wave interference leads to the complete absence…

Disordered Systems and Neural Networks · Physics 2025-10-15 Ben T. McDonough , Marius Lemm , Andrew Lucas

Nuclear many-body theory is based on the tenet that nuclear systems can be accurately described as collections of point-like particles. This picture, while providing a remarkably accurate explanation of a wealth of measured properties of…

Nuclear Theory · Physics 2023-06-05 Omar Benhar

Quantum many-body scarring is believed to be the mechanism behind long-lived coherent oscillations in interacting Rydberg atom chains. These persistent oscillations are due to the large overlap of the many-body scars with certain initial…

Quantum Physics · Physics 2020-12-07 Shane Dooley , Graham Kells

Quantum reflection is a universal property of atoms and molecules when scattered from surfaces in ultracold collisions. Recent experimental work has documented the quantum reflection and diffraction of He atoms, dimers, trimers and Neon…

Quantum Physics · Physics 2018-12-12 G. Rojas-Lorenzo , J. Rubayo-Soneira , S. Miret-Artés , E. Pollak

We study the scattering of a matter-wave from an interacting system of bosons in an optical lattice, focusing on the strong-interaction regime. Analytical expressions for the many-body scattering cross section are derived from a…

Quantum Physics · Physics 2015-05-13 Klaus Mayer , Alberto Rodriguez , Andreas Buchleitner

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

We formulate the statistical dynamics of topological defects in the active nematic phase, formed in two dimensions by a collection of self-driven particles on a substrate. An important consequence of the non-equilibrium drive is the…

Soft Condensed Matter · Physics 2018-09-12 Suraj Shankar , Sriram Ramaswamy , M. Cristina Marchetti , Mark J. Bowick
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