Survival of the fractional quantum Hall phase in the wide-cylinder limit

Determine whether and to what extent the Laughlin-type fractional quantum Hall phase persists in the wide-cylinder limit of a rapidly rotating anisotropic Bose gas (circumference much larger than width) in the lowest Landau level, and quantitatively characterize its competition with a correlated vortex liquid without condensation.

Background

The anisotropy parameter controls a crossover from thin-cylinder (Tao–Thouless crystal) through a two-dimensional regime (Laughlin liquid) to a wide-cylinder (pure edge) limit. The wide-cylinder regime becomes effectively one-dimensional with strong, long-range couplings and overlapping chiral edges, posing technical challenges for numerical methods and raising questions about the persistence of bulk-like FQH order.

The authors explicitly flag that the survival of the FQH phase in this limit is still an open question, noting possible competition with a correlated vortex liquid lacking condensation, and pointing to prior fermionic quantum Hall literature that leaves this issue unresolved.