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Dynamics of Bose-Einstein Condensation for Negative Scattering Length

Victo S. Filho, A. Gammal, Lauro Tomio +1 more

Lecture notes in physicsJan 1, 20010 citations

Collisional and Collapse Dynamics of a Twin Bose-Einstein Condensate with Negative Scattering Length

Weiping Zhang, Karl-Peter Marzlin, Leon Tribe +1 more

Springer eBooksNov 16, 20070 citations

Stability of solutions of the nonlinear Schrödinger equation for trapped Bose-condensed atoms with negative scattering lengths

Kimitaka Watanabe, T. Mukai, Takaaki Mukai

We analyze the time evolution of solutions of nonlinear Schr\"odinger equations that describe a condensate composed of atoms with negative scattering lengths in a harmonic potential trap. It is theoretically demonstrated that if an initial condensate has negative energies due to negative scattering lengths, then the solutions diverge in a finite time that is determined by the condensate's energy, its initial phase, and the trap parameter.

Physical Review AMay 1, 19979 citations

Thermodynamics of solitonic matter waves in a toroidal trap

Luca Salasnich, Alberto Parola, L. Reatto

We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov--de Gennes equations, we study the phase transition from the uniform state to the symmetry-breaking state characterized by a bright-soliton condensate and a localized thermal cloud. In the localized regime, three states with a finite condensate fraction are present: the thermodynamically stable localized state, a metastable localized state, and also a metastable uniform state. Remarkably, the presence of the stable localized state strongly increases the critical temperature of Bose-Einstein condensation.We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov--de Gennes equations, we study the phase transition from the uniform state to the symmetry-breaking state characterized by a bright-soliton condensate and a localized thermal cloud. In the localized regime, three states with a finite condensate fraction are present: the thermodynamically stable localized state, a metastable localized state, and also a metastable uniform state. Remarkably, the presence of the stable localized state strongly increases the critical temperature of Bose-Einstein condensation.

arXiv:cond-mat/0609167Physical Review ASep 19, 200615 citations

Thermodynamics of a Trapped Bose-Condensed Gas

S. Giorgini, Лев П. Питаевский, S. Stringari

arXiv:cond-mat/9704014Journal of Low Temperature PhysicsOct 1, 1997185 citations

Collapse and Bose-Einstein Condensation in a Trapped Bose Gas with Negative Scattering Length

Yu. Kagan, A. E. Muryshev, Georgy V. Shlyapnikov

Evolution and collapse of a trapped Bose condensate with negative scattering length are predetermined by 3-body recombination of Bose-condensed atoms and by feeding of the condensate from the nonequilibrium thermal cloud. The collapse, starting once the number of condensate atoms reaches the critical value, ceases and turns to expansion when the density becomes so high that the recombination losses dominate over attractive interparticle interaction. As a result, we obtain a sequence of collapses, each of them followed by dynamic oscillations of the condensate. In every collapse the 3-body recombination burns only a part of the Bose-condensed atoms.Evolution and collapse of a trapped Bose condensate with negative scattering length are predetermined by 3-body recombination of Bose-condensed atoms and by feeding of the condensate from the nonequilibrium thermal cloud. The collapse, starting once the number of condensate atoms reaches the critical value, ceases and turns to expansion when the density becomes so high that the recombination losses dominate over attractive interparticle interaction. As a result, we obtain a sequence of collapses, each of them followed by dynamic oscillations of the condensate. In every collapse the 3-body recombination burns only a part of the Bose-condensed atoms.

arXiv:cond-mat/9801168Physical Review LettersAug 1, 1998298 citations

Thermodynamics of a Trapped Bose Condensate with Negative Scattering Length

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Thermodynamics of a Trapped Bose Condensate with Negative Scattering Length

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