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arXiv · 1704.06517

Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux

S. Greschner·T. Vekua
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Abstract

Two-leg bosonic ladders with flux harbor a remarkable vortex-hole duality between the weak-coupling vortex lattice superfluids and strong-coupling charge-density-wave crystals. The strong-coupling crystalline states, which are realized in the vicinity of $π$-flux, are independent of particle statistics, and are related with the incompressible fractional quantum Hall states in the thin-cylinder limit. These fully gapped ground states, away of $π$-flux, develop nonzero chiral (spin) currents. Contact-interacting quantum gases permit exploration of this vortex-hole duality in experiments.

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S. Greschner, T. Vekua. 2017-04-21. Vortex-hole duality: a unified picture of weak and strong-coupling regimes of bosonic ladders with flux. https://doi.org/10.1103/physrevlett.119.073401

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