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The dynamics of a metastable attractive Bose-Einstein condensate trapped by a system of laser beams is analyzed in the presence of small fluctuations of the laser intensity. It is shown that the condensate will eventually collapse. The…

Soft Condensed Matter · Physics 2007-05-23 J. Garnier , F. Kh. Abdullaev , B. B. Baizakov

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

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…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

The dynamics of two-component Bose-Einstein condensates in rotating traps is investigated. In the Thomas-Fermi limit, equations of motion are derived showing multiple static solutions for a vortex free condensate. Dynamic stability analysis…

Other Condensed Matter · Physics 2013-05-29 I. Corro , R. G. Scott , A. M. Martin

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane and transverse harmonic-oscillator…

Quantum Gases · Physics 2012-01-17 Luca Salasnich , Boris A. Malomed

A two-component Bose-Einstein condensate confined in an axially-symmetric potential with two local minima, resembling two concentric annular traps, is investigated. The system shows a number of quantum phase transitions that result from the…

Quantum Gases · Physics 2015-05-14 F. Malet , G. M. Kavoulakis , S. M. Reimann

A model describing coherent quantum tunneling between two trapped Bose-Einstein condensates is shown to admit an exact solution. The spectrum is obtained by the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie , Xi-Wen Guan

We investigate the effect of interactions on condensate-number fluctuations in Bose-Einstein condensates. For a contact interaction we variationally obtain the equilibrium probability distribution for the number of particles in the…

Quantum Gases · Physics 2015-06-19 E. C. I. van der Wurff , A. -W. de Leeuw , R. A. Duine , H. T. C. Stoof

We study the dynamics of a Bose-Einstein condensate in a one-dimensional optical lattice in the limit of weak atom-atom interactions, including an approximate model for quantum fluctuations. A pulsating dynamical instability in which atoms…

Other Condensed Matter · Physics 2009-04-17 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

We investigate the creation of a relative phase between two Bose-Einstein condensates, initially in number states, by detection of atoms and show how the system approaches a coherent state. Two very distinct time scales are found: one for…

Quantum Physics · Physics 2009-10-31 Peter Horak , Stephen M. Barnett

In Bose-Einstein condensates with an attractive contact interaction the stable ground state and an unstable excited state emerge in a tangent bifurcation at a critical value of the scattering length. At the bifurcation point both the…

Quantum Gases · Physics 2015-01-13 Jonas Brinker , Jacob Fuchs , Jörg Main , Günter Wunner , Holger Cartarius

We have measured the quantum depletion of an interacting homogeneous Bose-Einstein condensate, and confirmed the 70-year old theory of N.N. Bogoliubov. The observed condensate depletion is reversibly tuneable by changing the strength of the…

We provide a number-conserving approach to the backreaction problem of small quantum fluctuations onto a classical background for the exactly soluble dynamical evolution of a Bose-Einstein condensate, experimentally realizable in the…

Quantum Gases · Physics 2022-11-28 Sang-Shin Baak , Caio C. Holanda Ribeiro , Uwe R. Fischer

The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be…

Disordered Systems and Neural Networks · Physics 2008-04-21 Leonardo Fallani , Chiara Fort , Massimo Inguscio

We present a self-consistent approach to deal with the pairing-fluctuation effects in quasi-two-dimensional superconducting systems. Besides the Cooper pairs in the Bose-Einstein condensate, there are pairs occupying the excited states,…

Superconductivity · Physics 2009-11-07 Xin-Zhong Yan

We investigate turbulence in miscible two-component Bose-Einstein condensates confined in a box potential using the coupled Gross-Pitaevskii equations. Turbulence is driven by an oscillating force, causing the components to oscillate either…

Quantum Gases · Physics 2025-03-03 Issei Doki , Makoto Tsubota

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

We develop theory for fluctuations in atom number and spin within finite-sized cells of a spinor Bose-Einstein condensate. This theory provides a model of measurements that can be performed in current experiments using finite resolution in…

Quantum Gases · Physics 2014-11-20 L. M. Symes , D. Baillie , P. B. Blakie

We measure the spatial correlation function of Bose-Einstein condensates in the cross-over region between phase-coherent and strongly phase-fluctuating condensates. We observe the continuous path from a gaussian-like shape to an…