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We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled…

Other Condensed Matter · Physics 2007-05-23 Ralf Schützhold , Michael Uhlmann , Yan Xu , Uwe R. Fischer

We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and…

Quantum Gases · Physics 2025-09-16 Huaxin He , Fengtao Pang , Xianchao Zhang , Yongping Zhang , Chunlei Qu

We show how the chiral properties of Bose Einstein condensates subject to current-density interactions and loaded in optical lattices can be observed in the realization of nonlinear Bloch states, whose spectrum lacks the usual periodic…

Quantum Gases · Physics 2023-10-23 Jintao Xu , Qian Jia , Haibo Qiu , Antonio Muñoz Mateo

The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau…

Quantum Gases · Physics 2012-09-06 R. L. Delgado , P. Bargueño , F. Sols

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

The production of a Bose-Einstein condensate made of positronium may be feasible in the near future. Below the condensation temperature, the positronium collision process is modified by the presence of the condensate. This makes the…

Quantum Physics · Physics 2016-05-04 O. Morandi , P. -A. Hervieux , G. Manfredi

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…

Quantum Gases · Physics 2022-02-25 A. Tononi

We investigate the mean-field scattering dynamics of a quasi-one-dimensional Bose--Einstein condensate interacting with a Rosen--Morse potential. For specific potential and nonlinearity parameters, we derive analytically exact, degenerate…

Quantum Gases · Physics 2025-11-06 Feilong Wang , Jinlin Fan , Ruolin Chai , Zhibin Zhao , Qiongtao Xie

We analyze the physics of spin-3 Bose-Einstein condensates, and in particular the new physics expected in on-going experiments with condensates of Chromium atoms. We first discuss the ground-state properties, which, depending on still…

Other Condensed Matter · Physics 2009-11-11 L. Santos , T. Pfau

Ultra-cold atomic systems provide a new setting where to investigate the role of long-range interactions. In this paper we will review the basics features of those physical systems, in particular focusing on the case of Chromium atoms. On…

Other Condensed Matter · Physics 2009-11-13 C. Menotti , M. Lewenstein , T. Lahaye , T. Pfau

We examine the problem of a repulsive, weakly-interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analytic expression for the energy incorporating the interactions when the angular momentum per…

Condensed Matter · Physics 2009-10-31 A. D. Jackson , G. M. Kavoulakis

We consider dynamical stabilization of Bose-Einstein condensates (BEC) by time-dependent modulation of the scattering length. The problem has been studied before by several methods: Gaussian variational approximation, the method of moments,…

Other Condensed Matter · Physics 2013-05-29 Alexander Itin , Shinichi Watanabe , Toru Morishita

We have achieved Bose-Einstein condensation of $^{40}$Ca, the first for an alkaline earth element. The influence of elastic and inelastic collisions associated with the large ground state s-wave scattering length of $^{40}$Ca was measured.…

Quantum Gases · Physics 2009-09-24 Sebastian Kraft , Felix Vogt , Oliver Appel , Fritz Riehle , Uwe Sterr

A general stability criterion is derived for the D-dimensional ground states of the Gross-Pitaevskii equation, which describes attractive Bose-Einstein condensates confined in a magnetic trap. These ground states are shown to avoid the…

Condensed Matter · Physics 2009-10-31 Luc Berge , Tristram J. Alexander , Yuri S. Kivshar

We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose Einstein condensation survives even a…

Mathematical Physics · Physics 2013-06-04 Robert Seiringer , Jakob Yngvason , Valentin A. Zagrebnov

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

Dipolar Bose-Einstein condensates in triple-well potentials are well-suited model systems for periodic optical potentials with important contributions of the non-local and anisotropic dipole-dipole interaction, which show a variety of…

Quantum Physics · Physics 2013-11-08 Rüdiger Fortanier , Damir Zajec , Jörg Main , Günter Wunner

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

We analyze the formation and dynamics of bright unstaggered solitons in the disk-shaped dipolar Bose-Einstein condensate, which features the interplay of contact (collisional) and long-range dipole-dipole (DD) interactions between atoms.…

Pattern Formation and Solitons · Physics 2015-05-14 Goran Gligorić , Aleksandra Maluckov , Milutin Stepić , Ljupčo Hadžievski , Boris A. Malomed