Anyonization of Bosons in One Dimension: An Effective Swap Model

Area of Science:

• Quantum physics
• Condensed matter physics
• Quantum simulation

Background:

• Anyons are unique quantum particles distinct from bosons and fermions.
• Realizing anyons in one dimension typically involves complex scattering or lattice interactions.

Purpose of the Study:

• To introduce a novel framework for creating and observing anyonic correlations.
• To utilize the internal degrees of freedom of spinor quantum gases for anyon realization.
• To explore a new method beyond the conventional anyon-Hubbard model.

Main Methods:

• A "swap" model is proposed, assigning complex phase factors to particle swapping.
• One-body correlators of impurities are analyzed using spin-charge separation.
• The framework is demonstrated for single and multiple impurities in quantum gases.

Main Results:

• The proposed swap model effectively realizes anyonic correlations.
• Impurities act as both creators and probes of these correlations.
• The method is implementable with tilt potentials in strongly interacting quantum gases.

Conclusions:

• This work provides a new platform for engineering many-body anyonic behavior.
• The framework opens avenues for advanced quantum simulation experiments.
• It offers a novel approach to studying exotic quantum phenomena.