Dynamics of collapsing and exploding Bose–Einstein condensates

  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},
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… Expand
Mean-field description of collapsing and exploding Bose-Einstein condensates
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)]Expand
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The Wavefunction of the Collapsing Bose-Einstein Condensate
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 theExpand
Dynamics of collapsing and exploding Bose–Einstein condensate
Abstract Recently, Donley et al. performed an experiment on the dynamics of collapsing and exploding Bose–Einstein condensates by suddenly changing the scattering length of atomic interaction to aExpand
Evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries
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 onExpand
Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity.
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. Expand
Bose-Einstein Condensates in Dilute Trapped Atomic Gases
The static and dynamic behavior of dilute trapped Bose-Einstein condensates at low temperature follows from the Gross-Pitaevskii equation for the condensate and the Bogoliubov equations for theExpand
Semiclassical dynamics of quasi-one-dimensional, attractive Bose–Einstein condensates
Abstract The strongly interacting regime for attractive Bose–Einstein condensates (BECs) tightly confined in an extended cylindrical trap is studied. For appropriately prepared, non-collapsing BECs,Expand
Recent progress in Bose-Einstein condensation experiments
  • S. Cornish, D. Cassettari
  • Physics, Medicine
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2003
Some of the most recent experimental developments in the BEC field are reviewed, highlighting the role of atomic interactions and the high degree of control with which condensates may be manipulated. Expand
Bifurcations, order, and chaos in the Bose-Einstein condensation of dipolar gases
We apply a variational technique to solve the time-dependent Gross-Pitaevskii equation for Bose-Einstein condensates in which an additional dipole-dipole interaction between the atoms is present withExpand


Direct observation of growth and collapse of a Bose–Einstein condensate with attractive interactions
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Power laws and collapsing dynamics of a trapped Bose-Einstein condensate with attractive interactions
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Controlled collapse of a Bose-Einstein condensate.
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The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of theExpand
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In all calculated elastic and inelastic two-body rates, a pronounced resonance structure is found, which can be understood in terms of the interplay between the singlet-triplet interaction and the hyperfine, Zeeman, and magnetic dipole interactions. Expand
Explosion of a collapsing Bose-Einstein condensate.
We show that elastic collisions between atoms in a Bose-Einstein condensate with attractive interactions can lead to an explosion that ejects a large fraction of the collapsing condensate. We studyExpand
Fate of a Bose-Einstein condensate with an attractive interaction
We calculate the decay amplitude of a harmonically trapped Bose-Einstein condensate with attractive interaction via the Feynman path integral. We find that when the number of particles is less than aExpand