# Dynamics of collapsing and exploding Bose–Einstein condensates

@article{Donley2001DynamicsOC, title={Dynamics of collapsing and exploding Bose–Einstein condensates}, author={Elizabeth A. Donley and Neil R. Claussen and Simon L. Cornish and Jacob L. Roberts and Eric Allin Cornell and Carl E. Wieman}, journal={Nature}, year={2001}, volume={412}, pages={295-299} }

When atoms in a gas are cooled to extremely low temperatures, they will—under the appropriate conditions—condense into a single quantum-mechanical state known as a Bose–Einstein condensate. In such systems, quantum-mechanical behaviour is evident on a macroscopic scale. Here we explore the dynamics of how a Bose–Einstein condensate collapses and subsequently explodes when the balance of forces governing its size and shape is suddenly altered. A condensate's equilibrium size and shape is…

## 585 Citations

### Mean-field description of collapsing and exploding Bose-Einstein condensates

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We perform numerical simulations based on the time-dependent mean-field Gross-Pitaevskii equation to understand some aspects of a recent experiment by Donley et al. [Nature (London) 412, 295 (2001)]…

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### The wavefunction of the collapsing Bose–Einstein condensate

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Bose–Einstein condensates with tunable interatomic interactions have been studied intensely in recent experiments. The investigation of the collapse of a condensate following a sudden change in the…

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Based on the time-dependent Gross-Pitaevskii equation we study the evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries to see the effect of confinement on…

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It is shown that the evolution of the condensate is equivalent to the motion of a particle in an effective potential, and it is proved that the resulting large oscillations in the shape of the wave function after the collapse have frequencies equal to twice the frequencies of the traps.

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It is shown that even below threshold for direct collapse, the wave function bounces off from the origin and may eventually become singular after a number of oscillations in the trapping potential, reminiscent of the evolution of Einstein gravity sourced by a scalar field in anti de Sitter space where collapse corresponds to black-hole formation.

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