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  • Letter

Counting edge modes via dynamics of boundary spin impurities

Umar Javed1, Jamir Marino2, Vadim Oganesyan3,4,5, and Michael Kolodrubetz1

  • 1Department of Physics, The University of Texas at Dallas, Richardson, Texas 75080, USA
  • 2Institut für Physik, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
  • 3Physics Program and Initiative for the Theoretical Sciences, The Graduate Center, CUNY, New York, New York 10016, USA
  • 4Department of Physics and Astronomy, College of Staten Island, CUNY, Staten Island, New York 10314, USA
  • 5Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA

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Phys. Rev. B 108, L140301 – Published 13 October, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L140301

Abstract

We study the dynamics of the one-dimensional Ising model in the presence of a static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find oscillatory correlations that decay as power laws. We uncover a phase diagram of dynamical responses where, upon tuning the strength of the boundary field, we observe distinct power laws that directly correspond to changes in the number of edge modes as the boundary and bulk magnetic field are varied. We suggest how the universal physics can be demonstrated in current experimental setups, such as Rydberg chains.

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Phys. Rev. B 108, L140301– Published 13 October, 2023
  • Received 9 May 2022
  • Revised 5 September 2023
  • Accepted 7 September 2023
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