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Resonance assisted tunneling in Floquet spin-J systems

Jesús A. Segura-Landa1, Diego A. Wisniacki2, Sergio Lerma-Hernández3, and Jorge G. Hirsch1

  • 1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543, C.P. 04510 Cd. Mx., Mexico
  • 2Departamento de Física “J. J. Giambiagi” and IFIBA, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
  • 3Facultad de Física, Universidad Veracruzana, Campus Arco Sur, Paseo 112, C.P. 91097 Xalapa, Mexico

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Phys. Rev. E 113, 034209 – Published 6 March, 2026

DOI: https://doi.org/10.1103/bh8c-pll5

Abstract

We apply the theory of Resonance-Assisted Tunneling (RAT) to a many-body quantum kicked system with a well-defined semiclassical limit. Using a quantum resonant condition, we identify eigenstates associated with classical resonances and compute their quasienergy splitting semiclassically. We distinguish two regimes: the first, where RAT predictions show excellent agreement with exact quantum results, and a second, where the splitting coincides with that of a harmonic oscillator with frequency determined by the classical oscillation of the resonance. We quantify the perturbation strength above which RAT theory is no longer valid and analyze its scaling in the semiclassical limit, providing analytical expressions to estimate this upper bound.

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Phys. Rev. E 113, 034209– Published 6 March, 2026
  • Received 4 September 2025
  • Accepted 3 February 2026
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