Revealing Pseudo-Fermionization and Chiral Binding of One-Dimensional Anyons using Adiabatic State Preparation

TL;DR

This paper demonstrates the preparation and analysis of one-dimensional anyons using ultracold atoms, revealing pseudo-fermionization and chiral bound states, and bridging lattice and continuum models.

Contribution

It introduces a method to realize and study 1D anyons experimentally, uncovering their exotic quantum behaviors and linking different theoretical models.

Findings

Observation of pseudo-fermionization effects.

Detection of chiral bound states.

Establishment of a connection between lattice and continuum anyon models.

Abstract

Fractional statistics give rise to quantum behaviors that differ fundamentally from those of bosons and fermions. While two-dimensional anyons play a major role in strongly correlated systems and topological quantum computing, the nature of their one-dimensional (1D) counterparts remains the subject of intense debate, with renewed interest fueled by recent experimental progress. Theoretically, 1D anyons are predicted to host exotic many-body phases and quantum phase transitions, yet experimental signatures have remained elusive. Using ultracold atoms in an optical lattice, we prepare two-body ground states of the 1D anyon-Hubbard model by combining Hamiltonian engineering via quasiperiodic drives and adiabatic state manipulation. We uncover the effects of statistical interactions that lead to pseudo-fermionization and to the formation of chiral bound states when particles remain close together. Our results establish a link between lattice and continuum realizations of anyon models, and mark important steps towards the precise control of 1D anyons in both equilibrium and out-of-equilibrium settings.