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Sublattice entanglement in an exactly solvable anyonlike spin ladder

Balázs Pozsgay1, Arthur Hutsalyuk1, Levente Pristyák1,2, and Gábor Takács2,3

  • 1MTA-ELTE “Momentum” Integrable Quantum Dynamics Research Group, Department of Theoretical Physics, Eötvös Loránd University, Pázmány Péter stny. 1A, H-1117 Budapest, Hungary
  • 2Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary
  • 3MTA-BME Quantum Dynamics and Correlations Research Group, Budapest University of Technology and Economics, Műegyetem rkp. 3., H-1111 Budapest, Hungary

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Phys. Rev. E 106, 044120 – Published 14 October, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.044120

Abstract

We introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The model supports two particle types (corresponding to the even and odd sublattices), such that the scattering phases are constants: Particles of the same type scatter as free fermions, whereas the interparticle phase shift is a constant tuned by an interaction parameter. Therefore, the spin ladder bears similarities with anyonic models. We present exact results for the spectrum and correlation functions, and we study the sublattice entanglement by numerical means.

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Outline

Information

Phys. Rev. E 106, 044120– Published 14 October, 2022
  • Received 2 June 2022
  • Accepted 29 September 2022
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