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The classical and quantum dynamics of two ultra-strongly coupled and weakly nonlinear resonators cannot be explained using the Discrete Nonlinear Schr\"odinger Equation or the Bose-Hubbard model, respectively. Instead, a model beyond the…

Quantum Physics · Physics 2014-03-13 Uta Naether , Juan José García-Ripoll , Juan José Mazo , David Zueco

A dynamics of Bose-Einstein condensate of a gas of bosonic particles with long-range dipole-dipole interactions in a harmonic trap is studied. Sufficient analytical criteria are found both for catastrophic collapse of Bose-Einstein…

Condensed Matter · Physics 2009-11-07 Pavel M. Lushnikov

We study the instability of a ring Bose-Einstein condensate under a periodic modulation of inter-atomic interactions. The condensate exhibits temporal and spatial patterns induced by the parametric resonance, which can be characterized by…

Quantum Gases · Physics 2019-02-20 Chen-Xi Zhu , Wei Yi , Guang-Can Guo , Zheng-Wei Zhou

A trapped Bose-Einstein condensate, being strongly perturbed, exhibits several spatial structures. First, there appear quantum vortices. Increasing the amount of the injected energy leads to the formation of vortex tangles representing…

Quantum Gases · Physics 2015-06-04 V. I. Yukalov , A. N. Novikov , V. S. Bagnato

Bose-Einstein condensates confined in traps exhibit unique features which have been the object of extensive experimental and theoretical studies in the last few years. In this paper I will discuss some issues concerning the behaviour of the…

Condensed Matter · Physics 2009-09-25 Sandro Stringari

We study wave packet dynamics of a Bose condensate in a periodically shaken trap. Dichotomy, that is, dynamic splitting of the condensate, and dynamic stabilization are analyzed in analogy with similar phenomena in the domain of atoms in…

Quantum Physics · Physics 2009-01-23 R. Dum , A. Sanpera , K. -A. Suominen , M. Brewczyk , M. Kus , K. Rzcazewski , M. Lewenstein

The peculiarities in the Bose-Einstein condensation of particles and quasiparticles are discussed. The difference between the condensation of conserved and unconserved particles is analyzed. A classification of quasiparticles is given. The…

Quantum Gases · Physics 2015-06-05 V. I. Yukalov

To finalize information about the accuracy of the classical field approach for the 1d Bose gas, the lowest temperature quasicondensate was studied by comparing the extended Bogoliubov model of Mora and Castin, to its classical field…

Quantum Gases · Physics 2018-08-31 J. Pietraszewicz , P. Deuar

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

Collisions between bright solitary waves in the 1D Gross-Pitaevskii equation with a harmonic potential, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. A particle analogy for the solitary waves is…

Other Condensed Matter · Physics 2007-05-23 A. D. Martin , C. S. Adams , S. A. Gardiner

We analyze the metastability of Bose-Hubbard condensates for finite-size one-dimensional ring lattices and open chains, using a semiclassical tomographic perspective that emphasizes the relation of the many-body spectrum to the underlying…

Quantum Physics · Physics 2026-04-14 Rajat , Doron Cohen

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-07-01 Hamid Al-Jibbouri

In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while the inter-component one is attractive. The existence regimes…

Quantum Gases · Physics 2023-01-31 K. K. Ismailov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-07-29 Luca Giacomelli , Iacopo Carusotto

A spatially inhomogeneous, trapped two-component Bose-Einstein condensate of cold atoms in the phase separation mode has been numerically simulated. It has been demonstrated for the first time that the surface tension between the components…

Quantum Gases · Physics 2022-01-26 Victor P. Ruban

Multiquantum vortices in dilute atomic Bose-Einstein condensates confined in long cigar-shaped traps are known to be both energetically and dynamically unstable. They tend to split into single-quantum vortices even in the ultralow…

Statistical Mechanics · Physics 2009-11-11 J. A. M. Huhtamäki , M. Möttönen , S. M. M. Virtanen

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

We discuss the recently achieved Bose-Einstein condensation for alkali-metal atoms in magnetic traps. The theoretically predicted low-energy collective oscillations of the condensate have been experimentally confirmed by laser imaging…

chao-dyn · Physics 2009-10-31 Luca Salasnich