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Quantum Simulation
Bosonic continuum theory of one-dimensional lattice anyons
arXiv
Authors: M. Bonkhoff, K. Jägering, S. Eggert, A. Pelster, M. Thorwart, T. Posske
Year
2020
Paper ID
21797
Status
Preprint
Abstract Read
~2 min
Abstract Words
97
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases.
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