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The wave functions of Boson and Fermion gases are known even when the particles have harmonic interactions. Here we generalise these results by solving exactly the N-body Schrodinger equation for potentials V that can be any function of the…

统计力学 · 物理学 2009-10-31 D. Lynden-Bell , R. M. Lynden-Bell

Using Boltzmann's equation, we study the effect of three-body losses on the momentum distribution of a homogeneous unitary Bose gas in the dilute limit where quantum correlations are negligible. We calculate the momentum distribution of the…

量子气体 · 物理学 2015-06-18 Sébastien Laurent , Xavier Leyronas , Frédéric Chevy

We consider a system of $N$ bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the box $d\ll1$. We assume particles to…

数学物理 · 物理学 2025-07-01 Xuwen Chen , Jiahao Wu , Zhifei Zhang

An explicit expression for the finite-volume energy shift of shallow three-body bound states for non-identical particles is obtained in the unitary limit. The inclusion of the higher partial waves is considered. To this end, the method of…

高能物理 - 格点 · 物理学 2018-07-18 Yu Meng , Chuan Liu , Ulf-G. Meißner , A. Rusetsky

We consider a three-boson system with resonant binary interactions and show that three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of…

统计力学 · 物理学 2007-05-23 D. S. Petrov

We study an ideal Bose gas of N atoms contained in a box formed by two identical planar and parallel surfaces S, enclosed by a mantle of height a perpendicular to them. Calling r0 the mean atomic distance, we assume S >> r0^2 while a may be…

统计力学 · 物理学 2008-02-03 M. I. Molina , J. A Roessler

We study the dynamics of a system of $N$ interacting bosons in a disc-shaped trap, which is realised by an external potential that confines the bosons in one spatial dimension to a region of order $\varepsilon$. The interaction is…

数学物理 · 物理学 2020-09-04 Lea Boßmann

We show the existence of Borromean bound states in a one-dimensional quantum three-body system composed of two identical bosons and a distinguishable particle. It is assumed that there is no interaction between the two bosons, while the…

量子物理 · 物理学 2024-05-24 Tobias Schnurrenberger , Lucas Happ , Maxim A. Efremov

In this study, the quantum 3-body harmonic system with finite rest length $R$ and zero total angular momentum $L=0$ is explored. It governs the near-equilibrium $S$-states eigenfunctions $\psi(r_{12},r_{13},r_{23})$ of three identical point…

量子物理 · 物理学 2023-03-22 H. Olivares-Pilón , A. M. Escobar-Ruiz , F. Montoya

We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale Path Integral Monte Carlo simulations (with up to $N=10^5$ particles). In 3D we investigate the…

其他凝聚态物理 · 物理学 2013-08-09 S. Pilati , S. Giorgini , N. Prokof'ev

We consider the evolution of a gas of $N$ bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact through a repulsive potential with scattering length of the…

数学物理 · 物理学 2024-07-11 Cristina Caraci , Jakob Oldenburg , Benjamin Schlein

We study the three-body problem for both fermionic and bosonic cold atom gases in a parabolic transverse trap of lengthscale $a_\perp$. For this quasi-one-dimensional (1D) problem, there is a two-body bound state (dimer) for any sign of the…

统计力学 · 物理学 2007-05-23 C. Mora , R. Egger , A. O. Gogolin

Three-body correlations in three-body exotic atoms are studied with simple models that consist of three bosons interacting through a superposition of long- and short-range potentials. We discuss the correlations among particles by comparing…

核理论 · 物理学 2019-11-15 H. Moriya , W. Horiuchi , J. -M. Richard

Collapsing Bose-Einstein condensates are rich and complex quantum systems for which quantitative explanation by simple models has proved elusive. We present new experimental data on the collapse of high density Rb-85 condensates with…

Consider a system of $N$ bosons in three dimensions interacting via a repulsive short range pair potential $N^2V(N(x_i-x_j))$, where $\bx=(x_1, >..., x_N)$ denotes the positions of the particles. Let $H_N$ denote the Hamiltonian of the…

数学物理 · 物理学 2007-05-23 Laszlo Erdos , Benjamin Schlein , Horng-Tzer Yau

We study the dynamics of a dilute Bose gas at zero temperature following a sudden quench of the scattering length from a noninteracting Bose condensate to unitarity (infinite scattering length). We apply three complementary approaches to…

We investigate the scattering theory of two particles in a generic $D$-dimensional space. For the s-wave problem, by adopting an on-shell approximation for the $T$-matrix equation, we derive analytical formulas which connect the Fourier…

量子气体 · 物理学 2023-03-31 F. Lorenzi , A. Bardin , L. Salasnich

A novel approach to solve the Faddeev equation for three-body scattering at arbitrary energies is proposed. This approach disentangles the complicated singularity structure of the free three-nucleon propagator leading to the moving and…

核理论 · 物理学 2009-03-24 Ch. Elster , W. Gloeckle , H. Witala

We study the Hamiltonian for a three-dimensional Bose gas of $N \geq 3$ spinless particles interacting via zero-range (also known as contact) interactions. Such interactions are encoded by (singular) boundary conditions imposed on the…

数学物理 · 物理学 2025-07-01 Daniele Ferretti , Alessandro Teta

By using simple and efficient method we discuss properties of a single impurity immersed in three-dimensional Bose gas with the interaction between particles tuned to unitary limit. Particularly, adopting the mean-field-like approximation…

量子气体 · 物理学 2020-10-28 O. Hryhorchak , G. Panochko , V. Pastukhov