Explosion-implosion duality in the Bose-Einstein condensation

Abstract

We show an explosion-implosion duality in the one and two dimensional Bose-Einstein condensation with or without a particular time-dependent harmonic trap. The result is independent of the strength and the attractive or the repulsive nature of the self-interaction of the condensate. This implies that the implosion in a particular atomic species has a dual description in terms of the explosion in the same or another atomic species and the vice versa. The result is applicable without any modifications to nonrelativistic theories that are invariant under the SL(2,R) reparameterization of the time-coordinate.

RevTeX, 5 pages (v1); Added clarifications and discussions, embellished the title (v2); Added an Equation for better presentation, Version to appear in Physics Letters A

References in corpus (6)

• Realization of Bose-Einstein condensates in lower dimensions
• Controlled Collapse of a Bose-Einstein Condensate
• Conformal symmetry and the nonlinear Schrodinger equation
• Exact results on the dynamics of multi-component Bose-Einstein condensate
• Reply to `Comment on "Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation"'
• Comment on ``Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation''

Cited by in corpus (8)

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• Cosmic Dynamics of Bose-Einstein Condensates
• Solvable Limits of a class of generalized Vector Nonlocal Nonlinear Schrödinger equation with balanced loss-gain
• Study of implosion in an attractive Bose-Einstein condensate
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
• Comment on ``Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases"
• Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension