Centrifugal effects in a Bose-Einstein condensate in the time-orbiting-potential magnetic trap

Kuklov, Anatoly; Chencinski, N.; Levine, A. M.; Schreiber, W. M.; Birman, Joseph L.

doi:10.1103/physreva.55.488

Cited by 16 publications

(16 citation statements)

References 27 publications

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“…The same concepts have been recently applied to the trapped condensate (see refs. [25,32] and references therein). In this confined Bose system, the collapse of collective excitations originates from a dephasing during the oscillation.…”

Section: Application To the Theory Of Collapse And Revivalmentioning

confidence: 99%

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Frequency shift and mode coupling in the nonlinear dynamics of a Bose-condensed gas

1997

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We investigate the behavior of large amplitude oscillations of a trapped Bose-condensed gas of alkali atoms at zero temperature, by solving the equations of hydrodynamics for collective modes. Due to the atom-atom interaction, the equations of motion are nonlinear and give rise to significant frequency shift and mode coupling. We provide analytic expressions for the frequency shift, pointing out the crucial role played by the anisotropy of the confining potential. For special values of the anisotropy parameter the mode coupling is particularly strong and the frequency shift becomes large, revealing a peculiar behavior of the Bose-condensed gas. Consequences on the theory of collapse and revival of collective excitations are also discussed.

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Section: Application To the Theory Of Collapse And Revivalmentioning

confidence: 99%

“…In Ref. [32] the dephasing was associated with the fluctuations of the particle occupation number and the collapse time was estimated within Hartree approximation. One of us [25] has recently developed a theory for the same process, but based on the fluctuations in the number of quanta of oscillation.…”

Section: Application To the Theory Of Collapse And Revivalmentioning

confidence: 99%

Frequency shift and mode coupling in the nonlinear dynamics of a Bose-condensed gas

1997

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“…One finds τ c ≈ (1/n) τ r ≪ τ r . These expressions for the time scales were derived by one of us , and the theory of collapse-revival has been also developed by Kuklov et al (1997) and . The revival time is in agreement with the theory of Averbukh and Perelman (1989).…”

Section: Collapse and Revival Of Collective Oscillationsmentioning

confidence: 99%

Theory of Bose-Einstein condensation in trapped gases

et al. 1999

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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 the condensation and the role of interactions between particles. Various properties of these systems are discussed, including the density profiles and the energy of the ground state configurations, the collective oscillations and the dynamics of the expansion, the condensate fraction and the thermodynamic functions. The thermodynamic limit exhibits a scaling behavior in the relevant length and energy scales. Despite the dilute nature of the gases, interactions profoundly modify the static as well as the dynamic properties of the system; the predictions of mean-field theory are in excellent agreement with available experimental results. Effects of superfluidity including the existence of quantized vortices and the reduction of the moment of inertia are discussed, as well as the consequences of coherence such as the Josephson effect and interference phenomena. The review also assesses the accuracy and limitations of the mean-field approach.

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“…Application of both adiabatic and time-averaged approximations predicts a description of the atomic motion in terms of a timeindependent potential. A number of theoretical studies have considered the role of the nonadiabatic dynamics [6] or of the time-dependent potential on the atomic evolution in a TOP trap [7]. Experimental investigations, however, have restricted their attention mainly to the atomic response to the time-independent adiabatic potential.…”

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confidence: 99%

Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

et al. 2000

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Nonadiabatic motion of Bose-Einstein condensates of rubidium atoms arising from the dynamical nature of a time-orbiting-potential (TOP) trap was observed experimentally. The orbital micromotion of the condensate in velocity space at the frequency of the rotating bias field of the TOP was detected by a time-of-flight method. A dependence of the equilibrium position of the atoms on the sense of rotation of the bias field was observed. We have compared our experimental findings with numerical simulations. The nonadiabatic following of the atomic spin in the trap rotating magnetic field produces geometric forces acting on the trapped atoms.

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Centrifugal effects in a Bose-Einstein condensate in the time-orbiting-potential magnetic trap

Cited by 16 publications

References 27 publications

Frequency shift and mode coupling in the nonlinear dynamics of a Bose-condensed gas

Frequency shift and mode coupling in the nonlinear dynamics of a Bose-condensed gas

Theory of Bose-Einstein condensation in trapped gases

Atomic Micromotion and Geometric Forces in a Triaxial Magnetic Trap

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