Controlled Collapse of a Bose-Einstein Condensate

Roberts, Jacob; Claussen, N. R.; Cornish, Simon L.; Donley, Elizabeth A.; Cornell, Eric A.; Wieman, Carl

doi:10.1103/physrevlett.86.4211

Cited by 407 publications

(460 citation statements)

References 24 publications

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“…In the latter, we study the stability of a soliton when the scattering length of the condensate is changed in a controllable way. This study is stimulated by the recent experiments in 85 Rb by Cornish et al [20,21]. Fi-nally we present our conclusions in Section V.…”

Section: Introductionmentioning

confidence: 87%

“…Since a condensate with positive scattering length is stable, the bright soliton thus created is no longer limited by the collapse of the condensate. Finally, it has been recently shown that with the well-controlled use of Feshbach resonances in 85 Rb, it is possible to make a condensate with attractive interactions in a very controllable way [20,21]. This opens a new way to study bright solitons in matter waves.…”

Section: Introductionmentioning

confidence: 99%

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Generation and interaction of solitons in Bose-Einstein condensates

et al. 2002

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Generation, interaction and detection of dark solitons in Bose-Einstein condensates is considered. In particular, we focus on the dynamics resulting from phase imprinting and density engineering. The generation of soliton pairs as well as their interaction is also considered. Finally, motivated by the recent experimental results of Cornish et al. (Phys. Rev Lett. 85, 1795, we analyze the stability of dark solitons under changes of the scattering length and thereby demonstrate a new way to detect them. Our theoretical and numerical results compare well with the existing experimental ones and provide guidance for future experiments.

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Section: Introductionmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Generation and interaction of solitons in Bose-Einstein condensates

et al. 2002

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“…implying the existence of a confinement-induced resonance CIR [16,20] of the coupling constant as a s is tuned via a 3D Feshbach resonance [32] past the resonance point a s /a ⊥ = |ζ(1/2)| −1 = 0.6848 . .…”

Section: Spinless Bosonsmentioning

confidence: 99%

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Girardeau

Nguyen

Olshanii

2004

Optics Communications

141

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Derivation of effective zero-range one-dimensional (1D) interactions between atoms in tight waveguides is reviewed, as is the Fermi-Bose mapping method for determination of exact and stronglycorrelated many-body ground states of ultracold bosonic and fermionic atomic vapors in such waveguides, including spin degrees of freedom. Odd-wave 1D interactions derived from 3D p-wave scattering are included as well as the usual even-wave interactions derived from 3D s-wave scattering, with emphasis on the role of 3D Feshbach resonances for selectively enhancing s-wave or p-wave scattering so as to reach 1D confinement-induced resonances of the even and odd-wave interactions. A duality between 1D fermions and bosons with zero-range interactions suggested by Cheon and Shigehara is shown to hold for the effective 1D dynamics of a spinor Fermi gas with both even and odd-wave interactions and that of a spinor Bose gas with even and odd-wave interactions, with even(odd)-wave Bose coupling constants inversely related to odd(even)-wave Fermi coupling constants. Some recent applications of Fermi-Bose mapping to determination of many-body ground states of Bose gases and of both magnetically trapped, spin-aligned and optically trapped, spin-free Fermi gases are described, and a new generalized Fermi-Bose mapping is used to determine the phase diagram of ground-state total spin of the spinor Fermi gas as a function of its even and odd-wave coupling constants.

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“…It was not until 2006 that solitary waves were again investigated experimentally, this time at JILA [11] using the same 85 Rb experiment that has first observed tunable atomic interactions [33] and controlled collapse [15]. This new work concluded that the stable remnant observed previously in the collapse experiments divided into similar solitary wave structures as seen at Rice.…”

Section: Observation Of Bright Solitary Matter Wavesmentioning

confidence: 61%

Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

Malomed¹

2013

Progress in Optical Science and Photonics

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In recent years, bright soliton-like structures composed of gaseous Bose-Einstein condensates have been generated at ultracold temperature. The experimental capacity to precisely engineer the nonlinearity and potential landscape experienced by these solitary waves offers an attractive platform for fundamental study of solitonic structures. The presence of three spatial dimensions and trapping implies that these are strictly distinct objects to the true soliton solutions. Working within the zero-temperature mean-field description, we explore the solutions and stability of bright solitary waves, as well as their interactions. Emphasis is placed on elucidating their similarities and differences to the true bright soliton. The rich behaviour introduced in the bright solitary waves includes the collapse instability and symmetry-breaking collisions. We review the experimental formation and observation of bright solitary matter waves to date, and compare to theoretical predictions. Finally we discuss the current state-of-the-art of this area, including beyond-mean-field descriptions, exotic bright solitary waves, and proposals to exploit bright solitary waves in interferometry and as surface probes.

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Controlled Collapse of a Bose-Einstein Condensate

Cited by 407 publications

References 24 publications

Generation and interaction of solitons in Bose-Einstein condensates

Generation and interaction of solitons in Bose-Einstein condensates

Effective interactions, Fermi–Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides

Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations

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