Bosonic continuum theory of one-dimensional lattice anyons
ORAL
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.
*1) Cluster of Excellence “CUI: Advanced Imaging of Matter” of the Deutsche Forschungsgemeinschaft (DFG) – EXC 2056 –project ID 390715994.2) Deutsche Forschungsgemeinschaft DFG – Project-ID 277625399 – TRR 185 via the SFB/Transregio 185: “OSCAR – Open SystemControl of Atomic and Photonic Matter”.3)Volkswagen Foundation project number 86896.
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Publication: arxiv preprint:
https://arxiv.org/abs/2008.00003
Presenters
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Martin Bonkhoff
- Technical University of Kaiserslautern