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In this paper, we derive equations for the dynamics of ring dark solitons in an expanding cloud of a two-dimensional Bose-Einstein condensate. Assuming that the soliton's width is much smaller than its radius, we obtain the Hamilton…

Pattern Formation and Solitons · Physics 2025-04-03 A. M. Kamchatnov , B. I. Suleimanov , E. N. Tsoy

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

We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation can be given if we…

High Energy Physics - Theory · Physics 2009-10-28 Klaus Kirsten , David J. Toms

We study numerically the evolution of Bose-Einstein condensate in the Sinai oscillator trap described by the Gross-Pitaevskii equation in two dimensions. In the absence of interactions this trap mimics the properties of Sinai billiards…

Quantum Gases · Physics 2016-07-28 Leonardo Ermann , Eduardo Vergini , Dima L. Shepelyansky

We theoretically investigate the ground-state properties and quantum dynamics of a pair of adjacent ring-shaped Bose-Einstein condensates that are coupled via tunneling. This device, which is the analogue of a symmetric superconducting…

Soft Condensed Matter · Physics 2009-11-07 B. P. Anderson , K. Dholakia , E. M. Wright

We present a novel approach for the optical manipulation of neutral atoms in annular light structures produced by the phenomenon of conical refraction occurring in biaxial optical crystals. For a beam focused to a plane behind the crystal,…

We provide a joint numerical-analytical study of the physics of a flowing atomic Bose-Einstein condensate in the combined presence of an external trap and a step potential which accelerates the atoms out of the condensate creating a pair of…

Quantum Gases · Physics 2021-04-12 Manuele Tettamanti , Iacopo Carusotto , Alberto Parola

We present a turbulence-sustaining mechanism in a spinor Bose-Einstein condensate, which is based on the chaotic nature of internal spin dynamics. Magnetic driving induces a complete chaotic evolution of the local spin state, thereby…

Quantum Gases · Physics 2025-02-12 Jongmin Kim , Jongheum Jung , Junghoon Lee , Deokhwa Hong , Yong-il Shin

Faraday waves in a cigar-shaped Bose-Einstein condensate are created. It is shown that periodically modulating the transverse confinement, and thus the nonlinear interactions in the BEC, excites small amplitude longitudinal oscillations…

Other Condensed Matter · Physics 2007-05-23 P. Engels , C. Atherton , M. A. Hoefer

We present the first experimental realisation of Bose-Einstein condensation in a purely magnetic double-well potential. This has been realised by combining a static Ioffe-Pritchard trap with a time orbiting potential (TOP). The double trap…

Quantum Gases · Physics 2013-11-26 T. G. Tiecke , M. Kemmann , Ch. Buggle , I. Shvarchuck , W. von Klitzing , J. T. M. Walraven

We calculate the spatially resolved optical emission spectrum of a weakly interacting Bose gas of excitons confined in a three dimensional potential trap due to interband transitions involving weak direct and phonon mediated exciton-photon…

Quantum Gases · Physics 2010-02-10 Heinrich Stolz , Dirk Semkat

We propose a method of atom-interferometry using a spinor Bose-Einstein condensate (BEC) with a time-varying magnetic field acting as a coherent beam-splitter. Our protocol creates long-lived superpositional counterflow states, which are of…

Quantum Gases · Physics 2018-02-14 John L. Helm , Thomas P. Billam , Ana Rakonjac , Simon L. Cornish , Simon A. Gardiner

We study Bogoliubov excitations of a spinor Bose Einstein condensate in a honeycomb periodic potential, in the presence of a Zeeman field and of a spin-orbit coupling specific for photonic systems, which is due to the energy splitting…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 O. Bleu , D. D. Solnyshkov , G. Malpuech

We study the formation of vortices, vortex necklaces and vortex ring structures as a result of the interference of higher-dimensional Bose-Einstein condensates (BECs). This study is motivated by earlier theoretical results pertaining to the…

Soft Condensed Matter · Physics 2010-12-09 R. Carretero-Gonzalez , N. Whitaker , P. G. Kevrekidis , D. J. Frantzeskakis

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortagh , C. Zimmermann

We clarify basic properties of an effective action (i.e., self-consistent perturbation expansion) for interacting Bose-Einstein condensates, where field $\psi$ itself acquires a finite thermodynamic average $\langle \psi\rangle$ besides…

Quantum Gases · Physics 2014-05-22 Takafumi Kita

We investigate the emergence of three-dimensional behavior in a reduced-dimension Bose-Einstein condensate trapped by a highly anisotropic potential. We handle the problem analytically by performing a perturbative Schmidt decomposition of…

Quantum Physics · Physics 2015-05-28 Alexandre B. Tacla , Carlton M. Caves

A two-component Bose-Einstein condensate rotating in a toroidal trap is investigated. The topological constraint depends on the density distribution of each component along the circumference of the torus, and therefore the quantization…

Quantum Gases · Physics 2015-05-19 Takayuki Shimodaira , Tetsuo Kishimoto , Hiroki Saito

This article suggests that Bose-Einstein condensation can occur without the need for an energy barrier when the boundary conditions are set as $\frac{T}{T_{c}}=z$ (where z is a positive integer). Under these conditions, bosons can condense…

General Physics · Physics 2023-04-11 Wen-Xiang Chen , Yao-Guang Zheng

We propose generating long-range and nonreciprocal three-body interactions in quantum gases via optical feedback. By placing a quasi-two-dimensional Bose-Einstein condensate (BEC) in front of two reflecting mirrors and illuminating it with…

Quantum Gases · Physics 2025-05-28 Yi-Qing Zhang , Liang-Jun He , Han Pu , Zheng-Wei Zhou , Yong-Chang Zhang