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The dynamics of quantum phase transitions poses one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of…

Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

数学物理 · 物理学 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

The quantum Boltzmann-Bose equation describes a large system of Bose-Einstein particles in the weak-coupling regime. If the particle interaction is governed by the inverse power law, the corresponding collision kernel has angular…

偏微分方程分析 · 数学 2022-12-08 Tong Yang , Yu-Long Zhou

Brooding over bosons, wave packets and Bose - Einstein correlations, we present a generic quantum mechanical system that contains arbitrary number of bosons characterized by wave-packets and that can undergo a Bose-Einstein condensation…

高能物理 - 唯象学 · 物理学 2009-09-25 J. Zimanyi , T. Csorgo

This study investigates the steady Boltzmann equation in one spatial variable for a polyatomic single-component gas in a half-space. Inflow boundary conditions are assumed at the half-space boundary, where particles entering the half-space…

偏微分方程分析 · 数学 2026-02-03 Niclas Bernhoff , Stephane Brull , Eddie Wadbro

When an interaction quench by a factor of four is applied to an attractive Bose-Einstein condensate, a higher-order quantum bright soliton exhibiting robust oscillations is predicted in the semiclassical limit by the Gross-Pitaevskii…

量子气体 · 物理学 2016-12-19 Christoph Weiss , Lincoln D. Carr

The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma. This paper strives to advance our understanding of how this…

偏微分方程分析 · 数学 2015-12-23 C. David Levermore , Hailiang Liu , Robert L. Pego

A solvable model of a periodically-driven trapped mixture of Bose-Einstein condensates, consisting of $N_1$ interacting bosons of mass $m_1$ driven by a force of amplitude $f_{L,1}$ and $N_2$ interacting bosons of mass $m_2$ driven by a…

量子气体 · 物理学 2020-12-01 Ofir E. Alon

The problem of wave breaking during its propagation in the Bose-Einstein condensate to a stationary medium is considered for the case when the initial profile at the breaking instant can be approximated by a power function of the form…

斑图形成与孤子 · 物理学 2018-12-31 A. M. Kamchatnov

Bose-Einstein condensates with tunable interatomic interactions have been studied intensely in recent experiments. The investigation of the collapse of a condensate following a sudden change in the nature of the interaction from repulsive…

量子气体 · 物理学 2017-11-22 Stavros Theodorakis , Andreas Hadjigeorgiou

We analyze the scattering problem of identical bosonic particles confined on a spherical surface. At low scattering energies and for a radius much larger than the healing length, we express the contact interaction strength in terms of the…

量子气体 · 物理学 2022-02-25 A. Tononi

An essentially-exact approach to compute the wavefunction in the time-dependent many-boson Schr\"odinger equation is derived and employed to study accurately the process of splitting a trapped condensate when ramping-up a barrier such that…

其他凝聚态物理 · 物理学 2007-07-31 Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

星系天体物理 · 物理学 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

We study a liquid quantum droplets in a mixture of two-component Bose-Einstein condensates under a variable confinement introduced along one or two spatial dimensions. Despite the atom-atom scattering has a three-dimensional character,…

量子气体 · 物理学 2018-12-05 Paweł Ziń , Maciej Pylak , Tomasz Wasak , Mariusz Gajda , Zbigniew Idziaszek

We study a three-mode Hamiltonian modelling a heteronuclear molecular Bose--Einstein condensate. Two modes are associated with two distinguishable atomic constituents, which can combine to form a molecule represented by the third mode.…

The dynamics of a weakly interacting Bose gas at low temperatures is close to integrable due to the approximate quadratic nature of the many-body Hamiltonian. While the short-time physics after an abrupt ramp of the interaction constant is…

量子气体 · 物理学 2019-01-16 Mathias Van Regemortel , Hadrien Kurkjian , Iacopo Carusotto , Michiel Wouters

The Josephson effects in two weakly linked Bose-Einstein condensates have been studied recently. In this letter, we study the equations derived by Giovanazzi et. al. [Phys. Rev. Lett. 84, 4521 (2000)] focusing on the effects of the initial…

凝聚态物理 · 物理学 2007-05-23 Li-Bin Fu , Jie Liu , Shi-Gang Chen

We propose a microscopic approach describing the interaction of an ideal gas of hydrogenlike atoms with a weak electromagnetic field. This approach is based on the Green-function formalism and an approximate formulation of the method of…

统计力学 · 物理学 2009-01-19 Yurii Slyusarenko , Andrii Sotnikov

We develop a framework to systematically investigate the influence of many-particle interference on the dynamics of generic $-$ possibly interacting $-$ bosonic systems. We consider mixtures of bosons which belong to several distinguishable…

量子物理 · 物理学 2020-10-07 Gabriel Dufour , Tobias Brünner , Alberto Rodríguez , Andreas Buchleitner

We investigate the dynamics of matter and optical waves at the early stage of superradiant Rayleigh scattering from Bose-Einstein Condensates. Our analysis is within a spatially dependent quantum model which is capable of providing analytic…

量子气体 · 物理学 2010-11-30 L. F. Buchmann , G. M. Nikolopoulos , O. Zobay , P. Lambropoulos
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