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Observing quasiparticles through the entanglement lens

Yizhi You1, Elisabeth Wybo2,3, Frank Pollmann2,3, and S. L. Sondhi4

  • 1Princeton Center for Theoretical Science, Princeton University, New Jersey 08544, USA
  • 2Department of Physics, Technical University of Munich, D-85748 Garching, Germany
  • 3Munich Center for Quantum Science and Technology (MQCST), D-80799 Munich, Germany
  • 4Department of Physics, Princeton University, New Jersey 08544, USA

Phys. Rev. B 106, L161104 – Published 10 October, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L161104

Abstract

The low-energy physics of interacting quantum systems is typically understood through the identification of the relevant quasiparticles or low-energy excitations and their quantum numbers. We present a quantum information framework that goes beyond this to examine the nature of the entanglement in the corresponding quantum states. We argue that the salient features of the quasiparticles, including their quantum numbers, locality, and fractionalization, are reflected in the entanglement spectrum and in the mutual information. We illustrate these ideas in the specific context of the d=1 transverse field Ising model with an integrability breaking perturbation.

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