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Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter

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arxiv cond-mat/0201020 v2 pith:WMSF53PD submitted 2002-01-03 cond-mat

Jairo Sinova , C.B. Hanna , A.H. MacDonald This is my paper · ORCID
classification cond-mat
keywords quantumvortexbose-einsteincondensationfluctuationslatticepartabsence
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We demonstrate that quantum fluctuations suppress Bose-Einstein condensation of quasi-two-dimensional bosons in a rapidly-rotating trap. Our conclusions rest in part on an effective-Lagrangian description of the triangular vortex lattice, and in part on microscopic Bogoliubov equations in the rapid-rotation limit. We obtain analytic expressions for the collective-excitation dispersion, which, in a rotating system, is quadratic rather than linear. Our estimates for the boson filling factor at which the vortex lattice melts at zero temperature due to quantum fluctuations are consistent with recent exact-diagonalization calculations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological phase transitions between bosonic and fermionic quantum Hall states near even-denominator filling factors

    cond-mat.mes-hall 2025-08 unverdicted novelty 7.0 of 10

    The transition between Jain and daughter quantum Hall states is mapped to an E8 to trivial transition and predicted to split into at least eight transitions with intermediate topological phases.

  2. An Introduction to Spontaneous Symmetry Breaking

    hep-th 2019-09 accept novelty 1.0 of 10

    A comprehensive review that frames spontaneous symmetry breaking through singular limits and stable broken-symmetry states, suitable for graduate teaching.

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