AI Article Synopsis
- The study focuses on the existence of anyons with arbitrary exchange phases specifically in 1D lattices within ultracold gases, addressing discrepancies with known continuum theories.
- The researchers derive the continuum limit of these 1D lattice anyons using interacting bosons, ensuring consistent periodicity of exchange phases similar to that of 2D anyons.
- They also estimate the Luttinger parameter as a function of the exchange angle, predicting distinct velocities for left- and right-moving collective excitations, thereby enhancing the understanding of long-range effects in this system.
Article Abstract
Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known continuum theories in 1D do not match. We derive the continuum limit of 1D lattice anyons via interacting bosons. The theory maintains the exchange phase periodicity fully analogous to 2D anyons. This provides a mapping between experiments, lattice anyons, and continuum theories, including Kundu anyons with a natural regularization as a special case. We numerically estimate the Luttinger parameter as a function of the exchange angle to characterize long-range signatures of the theory and predict different velocities for left- and right-moving collective excitations.
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| http://dx.doi.org/10.1103/PhysRevLett.126.163201 | DOI Listing |
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