2000/10/25 by M. Aguado, M. Asorey, Jérôme Estève +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #hep-th
paper · pdf · doi:10.1007/s002200100390
published as Commun.Math.Phys. 218 (2001) 233-244 · 14 pages, 2 ps-figures, to appear in Commun. Math. Phys
arxiv created 2000/10/25 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that nodal points of ground states of some quantum systems with magnetic interactions can be identified in simple geometric terms. We analyse in detail two different archetypical systems: i) a planar rotor with a non-trivial magnetic flux Φ, ii) Hall effect on a torus. In the case of the planar rotor we show that the level repulsion generated by any reflection invariant potential V is encoded in the nodal structure of the unique vacuum for θ=π. In the second case we prove that the nodes of the first Landau level for unit magnetic charge appear at the crossing of the two non-contractible circles α-, β- with holonomies hα-(A)= hβ-(A)=-1 for any reflection invariant potential V. This property illustrates the geometric origin of the quantum translation anomaly.