The absence of fragmentation in Bose-Einstein condensates
arXiv:0807.4627 · doi:10.1103/PhysRevA.78.063623
Abstract
A Bose-Einstein condensate produced by a Hamiltonian which is rotationally or translationally symmetric is fragmented as a direct result of these symmetries. A corresponding mean-field unfragmented state, with an identical energy to leading order in the number of particles, can generally be constructed. As a consequence, vanishingly weak symmetry-breaking perturbations destabilize the fragmented state, which would thus be extremely difficult to realize experimentally, and lead to an unfragmented condensate.
Typographical errors corrected
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- Solitary waves and yrast states in Bose-Einstein condensed gases of atoms
- Emergence of a new pair-coherent phase in many-body quenches of repulsive bosons
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- Fragility of the Laughlin state in an anharmonically-trapped Bose-Einstein condensate
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- The attractive Bose gas in two dimensions: an analytical study of its fragmentation and collapse