Probing the exchange statistics of one-dimensional anyon models

Abstract

We propose feasible scenarios for revealing the modified exchange statistics in one-dimensional anyon models in optical lattices based on an extension of the multicolor lattice-depth modulation scheme introduced in [{Phys. Rev. A 94, 023615 (2016)}]. We show that the fast modulation of a two-component fermionic lattice gas in the presence a magnetic field gradient, in combination with additional resonant microwave fields, allows for the quantum simulation of hardcore anyon models with periodic boundary conditions. Such a semi-synthetic ring set-up allows for realizing an interferometric arrangement sensitive to the anyonic statistics. Moreover, we show as well that simple expansion experiments may reveal the formation of anomalously bound pairs resulting from the anyonic exchange.

arXiv comment8 pages, 9 figures

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Cited by in corpus (15)

• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Correlation functions of one-dimensional strongly interacting two-component gases
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Statistics-tuned phases of pseudofermions in one dimension
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quantum walk of two anyons across a statistical boundary
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Bosonization study of a generalized statistics model with four Fermi points
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Quench Dynamics of Anyon Tonks-Girardeau Gases