Dynamics of collapsing and exploding Bose–Einstein condensate

Adhikari, Sadhan K.

doi:10.1016/s0375-9601(02)00246-3

Cited by 19 publications

(26 citation statements)

References 24 publications

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“…Previous collapse experiments with atomic BECs [22][23][24][25][26][27] (see also [28]) were performed in the traditional setting of a harmonic trap. The critical point [23] and collapse times [24,26] were in general agreement with theoretical expectations [10,[36][37][38][39][40][41][42][43], but no evidence of weak collapse was observed; the atom loss was only seen to grow with |a| [25].…”

Section: Introductionsupporting

confidence: 85%

Observation of Weak Collapse in a Bose-Einstein Condensate

et al. 2016

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We study the collapse of an attractive atomic Bose-Einstein condensate prepared in the uniform potential of an optical-box trap. We characterize the critical point for collapse and the collapse dynamics, observing universal behavior in agreement with theoretical expectations. Most importantly, we observe a clear experimental signature of the counterintuitive weak collapse, namely, that making the system more unstable can result in a smaller particle loss. We experimentally determine the scaling laws that govern the weak-collapse atom loss, providing a benchmark for the general theories of nonlinear wave phenomena.

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Section: Introductionsupporting

confidence: 85%

Observation of Weak Collapse in a Bose-Einstein Condensate

et al. 2016

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“…Saito and Ueda [10] suggest the bursts are atoms originally near the center of the collapse that acquire kinetic energy when three-body losses suddenly remove a large number of atoms from the center of the collapse. In these simulations and others [12][13][14][15][16][17], the burst atoms are distinguished from the condensate purely by their location. In the simulations of Milstein et al and Wüster et al the burst is assumed to be a distinct noncondensed field which can occupy the same space as the condensate.…”

Section: B Theorymentioning

confidence: 76%

“…These and other [14][15][16][17] simulations qualitatively reproduce the collapse process, the delay before atom loss begins, the condensate number decay constant τ decay , bursts, and jets, but have achieved no solid quantitative agreement with observation. Minor differences in these authors' results, as well as the lack of quantitative agreement with experiment, may be due to their different choices of density-dependent loss rates.…”

Section: B Theorymentioning

confidence: 84%

Hartree-Fock-Bogoliubov model and simulation of attractive and repulsive Bose-Einstein condensates

2012

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We describe a model of dynamic Bose-Einstein condensates near a Feshbach resonance that is computationally feasible under assumptions of spherical or cylindrical symmetry. Simulations in spherical symmetry approximate the experimentally measured time to collapse of an unstably attractive condensate only when the molecular binding energy in the model is correct, demonstrating that quantum fluctuations and coupling between atoms and (un)bound pairs of atoms included in the model are the dominant mechanisms during collapse. Simulations of condensates with repulsive interactions find some quantitative disagreement, suggesting that pairing and quantum fluctuations are not the only significant factors for condensate loss or burst formation. Inclusion of three-body recombination was found to be inconsequential in all of our simulations, although we do not consider recent experiments [Phys. Rev. A 84, 033632 (2011)] conducted at over an order of magnitude higher density.

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“…Moreover, one observes a burst of hot atoms with an energy of about 150 nK. Several mean-ÿeld analyses of the collapse, which model the atom loss phenomenologically by a three-body recombination rate constant [34][35][36][37][38][39][40], as well as an approach that considers elastic condensate collisions [41,42], and an approach that takes into account the formation of molecules [43], have o ered a great deal of theoretical insight. Nevertheless, the physical mechanism responsible for the explosion of atoms out of the condensate and the formation of the noncondensed component is to a great extent still not understood at present.…”

Section: Introductionmentioning

confidence: 99%

Atom–molecule coherence in Bose gases

2004

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In an atomic gas near a Feshbach resonance, the energy of two colliding atoms is close to the energy of a bound state, i.e., a molecular state, in a closed channel that is coupled to the incoming open channel. Due to the di erent spin arrangements of the atoms in the open channel and the atoms in the molecular state, the energy di erence between the bound state and the two-atom continuum threshold is experimentally accessible by means of the Zeeman interaction of the atomic spins with a magnetic ÿeld. As a result, it is in principle possible to vary the scattering length to any value by tuning the magnetic ÿeld. This level of experimental control has opened the road for many beautiful experiments, which recently led to the demonstration of coherence between atoms and molecules. This is achieved by observing coherent oscillations between atoms and molecules, analogous to coherent Rabi oscillations that occur in ordinary two-level systems. We review the many-body theory that describes coherence between atoms and molecules in terms of an e ective quantum ÿeld theory for Feshbach-resonant interactions. The most important feature of this e ective quantum ÿeld theory is that it incorporates the two-atom physics of the Feshbach resonance exactly, which turns out to be necessary to fully explain experiments with Bose-Einstein condensed atomic gases.

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Dynamics of collapsing and exploding Bose–Einstein condensate

Cited by 19 publications

References 24 publications

Observation of Weak Collapse in a Bose-Einstein Condensate

Observation of Weak Collapse in a Bose-Einstein Condensate

Hartree-Fock-Bogoliubov model and simulation of attractive and repulsive Bose-Einstein condensates

Atom–molecule coherence in Bose gases

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