On-top fragmentation stabilizes atom-rich attractive Bose-Einstein condensates

Abstract

It is well known that attractive condensates do not posses a stable ground state in three dimensions. The widely used Gross-Pitaevskii theory predicts the existence of metastable states up to some critical number $N_{\mathrm{cr}}^{\mathrm{GP}}$ of atoms. It is demonstrated here that fragmented metastable states exist for atom numbers well above $N_{\mathrm{cr}}^{\mathrm{GP}}$. The fragments are strongly overlapping in space. The results are obtained and analyzed analytically as well as numerically. The implications are discussed.

12 pages, 4 figures

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• Fragmentation of Bose-Einstein Condensates
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Cited by in corpus (13)

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• Observation of a Modulational Instability in Bose-Einstein condensates
• Fragmented many-body ground states for scalar bosons in a single trap
• Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment
• Excitation spectra of fragmented condensates by linear response: General theory and application to a condensate in a double-well potential
• Fragmented Many-Body states of definite angular momentum and stability of attractive 3D Condensates
• Bright solitary waves of atomic Bose-Einstein condensates under rotation
• p-Wave stabilization of three-dimensional Bose-Fermi solitons
• Macroscopic quantum many-body tunneling of attractive Bose-Einstein condensate in anharmonic trap
• Attractive Bose-Einstein Condensates in three dimensions under rotation: Revisiting the problem of stability of the ground state in harmonic traps
• The attractive Bose gas in two dimensions: an analytical study of its fragmentation and collapse
• Verification of exceptional points in the collapse dynamics of Bose-Einstein condensates
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates