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The finite-size effects in two segregated Bose-Einstein condensates (BECs) restricted by a hard wall is studied by means of the Gross-Pitaevskii equations in the double-parabola approximation (DPA). Starting from the consistency between the…

量子气体 · 物理学 2019-03-28 H. V. Quyet , N. V. Thu , D. T. Tam , T. H. Phat

We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables…

量子气体 · 物理学 2010-05-21 Guillaume Roux

We study the interplay between the anisotropy of the dipole-dipole interaction and confinement in a curved geometry by means of the extended Gross-Pitaevskii equation, which allows us to characterize the ground state of a dipolar Bose gas…

量子气体 · 物理学 2024-04-12 Juan Sánchez-Baena , Raúl Bombín , Jordi Boronat

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

数学物理 · 物理学 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

超导电性 · 物理学 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We consider many-body effects on particle scattering in one, two and three dimensional Bose gases. We show that at zero temperature these effects can be modelled by the simpler two-body T-matrix evaluated off the energy shell. This is…

凝聚态物理 · 物理学 2009-11-07 M. D. Lee , S. A. Morgan , M. J. Davis , K. Burnett

We consider the interacting Bose gas in the thermodynamic limit in a large box in $\R^d$ at positive temperature $1/\beta\in(0,\infty)$ with particle density $\sim\rho\in(0,\infty)$. We follow a path-integral approach and adopt from \cite…

概率论 · 数学 2026-04-17 Wolfgang König

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

量子气体 · 物理学 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

We generalise the two-sided Bogoliubov inequality for classical particles from [L. Delle Site et al., J.Stat.Mech.Th.Exp. 083201 (2017)] to systems of quantum particles. As in the classical set-up, the inequality leads to upper and lower…

数学物理 · 物理学 2022-09-22 Benedikt Reible , Carsten Hartmann , Luigi Delle Site

We present a stochastic matter field equation for an interacting many-body Bose system in equilibrium at ultracold finite temperature. Moreover, the proposed equation can be used for non-equilibrium dynamics on phenomenological grounds.…

量子气体 · 物理学 2019-11-25 Holger Hauptmann , Walter T. Strunz

The Bose-Einstein correlations of two identically charged pions are derived when these particles, the most abundantly produced in relativistic heavy ion collisions, are confined in finite volumes. Boundary effects on single pion spectrum…

核理论 · 物理学 2009-10-31 Q. H. Zhang , Sandra S. Padula

We study a bound system of N identical bosons interacting by model pair potentials of the form V(r) = A sgn(p)r^p + B/r^2, A > 0, B >= 0. By using a variational trial function and the `equivalent 2-body method', we find explicit upper and…

数学物理 · 物理学 2009-10-31 Richard L. Hall

We consider the ground-state properties of an extended one-dimensional Bose gas with pointwise attractive interactions. We take the limit where the interaction strength goes to zero as the system size increases at fixed particle density. In…

量子气体 · 物理学 2016-11-28 Lorenzo Piroli , Pasquale Calabrese

We study the ground state of a system of Bose hard-spheres trapped in an isotropic harmonic potential to investigate the effect of the interatomic correlations and the accuracy of the Gross-Pitaevskii equation. We compare a local density…

凝聚态物理 · 物理学 2009-10-31 A. Fabrocini , A. Polls

We investigate the novel density distributions acquired by a dipolar Bose-Einstein condensed gas confined in a box potential, with special focus on the effects of supersolidity. Differently from the case of harmonic trapping, the ground…

量子气体 · 物理学 2022-02-25 S. M. Roccuzzo , S. Stringari , Alessio Recati

Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose-Einstein condensation temperature $T_c$ as…

量子气体 · 物理学 2019-05-14 V. I. Yukalov

We consider second quantized homogeneous Bose gas in a large cubic box with periodic boundary conditions, at zero temperature. We discuss the energy-momentum spectrum of the Bose gas and its physical significance. We review various rigorous…

数学物理 · 物理学 2009-01-06 H. D. Cornean , J. Dereziński , P. Ziń

A simple model wavefunction, consisting of a linear combination of two free-particle Gaussians, describes many of the observed features seen in the interactions of two isolated Bose-Einstein condensates as they expand, overlap, and…

量子物理 · 物理学 2015-06-26 R. W. Robinett

We rigorously analyze the low-temperature properties of homogeneous three-dimensional two-component Bose mixture with dipole-dipole interaction. For such a system the effective hydrodynamic action that governs the behavior of low-energy…

量子气体 · 物理学 2017-02-22 Volodymyr Pastukhov

We consider the many-body spectra of interacting bosonic quantum fields on a lattice in the semiclassical limit of large particle number $N$. We show that the many-body density of states can be expressed as a coherent sum over oscillating…

量子物理 · 物理学 2015-12-11 Thomas Engl , Juan Diego Urbina , Klaus Richter