Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

Fatkhulla Kh Abdullaev; Jean Guy Caputo; Robert A. Kraenkel; Boris A. Malomed

Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

Fatkhulla Kh Abdullaev, Jean Guy Caputo, Robert A. Kraenkel, Boris A. Malomed

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

A study was conducted on the dynamics of 2D and 3D Bose-Einstein condensates in the case when the scattering length in the Gross-Pitaevskii (GP) equation which contains constant (dc) and time-variable (ac) parts. Using the variational approximation (VA), simulating the GP equation directly, and applying the averaging procedure to the GP equation without the use of the VA, it was demonstrated that the ac component of the nonlinearity makes it possible to maintain the condensate in a stable self-confined state without external traps.

Original language	English
Article number	013605
Pages (from-to)	013605/1-013605/10
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	67
Issue number	1
State	Published - Jan 2003

Cite this

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abstract = "A study was conducted on the dynamics of 2D and 3D Bose-Einstein condensates in the case when the scattering length in the Gross-Pitaevskii (GP) equation which contains constant (dc) and time-variable (ac) parts. Using the variational approximation (VA), simulating the GP equation directly, and applying the averaging procedure to the GP equation without the use of the VA, it was demonstrated that the ac component of the nonlinearity makes it possible to maintain the condensate in a stable self-confined state without external traps.",

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Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length. / Abdullaev, Fatkhulla Kh; Caputo, Jean Guy; Kraenkel, Robert A.; Malomed, Boris A.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 67, No. 1, 013605, 01.2003, p. 013605/1-013605/10.

Research output: Contribution to journal › Article › peer-review

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Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length

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