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  • Letter
  • Open Access

Simulating lattice fermion doubling with a Floquet drive

Raúl A. Briceño1,2,*, William Gyory3,†, Thomas Iadecola3,4,‡, and Srimoyee Sen3,§

  • *Contact author: rbriceno@berkeley.edu
  • †Contact author: wgyory@iastate.edu
  • ‡Contact author: iadecola@iastate.edu
  • §Contact author: srimoyee08@gmail.com
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Phys. Rev. D 112, L111502 – Published 2 December, 2025

DOI: https://doi.org/10.1103/vl1z-gl5q

Abstract

We consider a recently discovered mathematical correspondence between the spectra of a naively discretized lattice fermion and that of a periodically driven (i.e., Floquet) quantum system and enhance it into an infrared equivalence between the two systems. The equivalence can be framed as a duality relation, allowing us to simulate a two-flavor discrete-time fermion theory on the lattice side, where the two flavors arise from time discretization, using a single-flavor fermion theory on the Floquet side. Our demonstration establishes an equivalence between (i) the fermion content, (ii) the correlation functions, and consequently (iii) observables of the two theories in the infrared, going substantially beyond the previously discovered spectral equivalence. We also show how interactions may be incorporated into this enhanced infrared equivalence.

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Outline

Information

Phys. Rev. D 112, L111502– Published 2 December, 2025
  • Received 23 April 2025
  • Revised 8 August 2025
  • Accepted 5 November 2025
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