Quantum Phases of 1D Lattice Anyons

Recent advances in quantum technologies enable the realization of synthetic gauge fields and occupation-dependent hopping, allowing for the implementation of “lattice anyons” in one-dimensional systems. These platforms provide a powerful route to explore the interplay between fractional statistics and strong interactions in highly controllable settings, with potential applications in quantum simulation and fault-tolerant quantum information processing.

We investigate the one-dimensional extended Anyon Hubbard model at unit filling using a tailored bosonization approach combined with large-scale numerical simulations. The resulting phase diagram exhibits multiple gapped and superfluid phases, with phase transitions that evolve through a multicritical point as the anyonic exchange phase is tuned from bosonic to fermionic limits. We characterize the associated universality classes and discuss experimentally accessible signatures.