SAMOP 2021 – scientific programme

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A: Fachverband Atomphysik

A 16: Ultra-cold atoms, ions, and BEC (joint session A/Q)

A 16.18: Poster

Wednesday, September 22, 2021, 16:30–18:30, P

Bosonic Continuum Theory of One-Dimensional Lattice Anyons — •Martin Bonkhoff¹, Kevin Jägering¹, Sebastian Eggert¹, Axel Pelster¹, Michael Thorwart^2,3, and Thore Posske^2,3 — ¹Physics Department and Research Center Optimas,Technische Universität Kaiserslautern, 67663 Kaiserslautern, Germany — ²I. Institut für Theoretische Physik, Universität Hamburg, Jungiusstraße 9, 20355 Hamburg, Germany — ³The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee149, 22761 Hamburg, Germany

Anyons with arbitrary exchange phases exist on 1D lattices in ultracold gases. Yet, known continuumt heories 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 [1]. 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] M. Bonkhoff, K. Jägering, S. Eggert, A. Pelster, M. Thorwart, and T. Posske, Bosonic continuum theory of one-dimensional lattice anyons, Phys. Rev. Lett. 126, 163201, (2021).