The absence of fragmentation in Bose-Einstein condensates

Details The absence of fragmentation in Bose-Einstein condensates The absence of fragmentation in Bose-Einstein condensates

2008-07-29

arxiv.org/abs/0807.4627v2

Phys. Rev. A 78 (2008) 063623

Physics

Condensed Matter

Other Condensed Matter

Typographical errors corrected

Scientific paper

10.1103/PhysRevA.78.063623

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.

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