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Main Authors: Segura-Landa, J. A., Wisniacki, Diego A., Lerma-Hernández, Sergio, Hirsch, Jorge G.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.03715
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author Segura-Landa, J. A.
Wisniacki, Diego A.
Lerma-Hernández, Sergio
Hirsch, Jorge G.
author_facet Segura-Landa, J. A.
Wisniacki, Diego A.
Lerma-Hernández, Sergio
Hirsch, Jorge G.
contents 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 saturates and coincides with that of a harmonic oscillator with frequency determined by the classical oscillation of the resonance island. We quantify the perturbation strength above which RAT theory is no longer valid and analyze its scaling in the semiclassical limit, providing analytical expressions to estimate this upper bound.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03715
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Resonance Assisted Tunneling in Floquet spin-J systems
Segura-Landa, J. A.
Wisniacki, Diego A.
Lerma-Hernández, Sergio
Hirsch, Jorge G.
Quantum Physics
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 saturates and coincides with that of a harmonic oscillator with frequency determined by the classical oscillation of the resonance island. We quantify the perturbation strength above which RAT theory is no longer valid and analyze its scaling in the semiclassical limit, providing analytical expressions to estimate this upper bound.
title Resonance Assisted Tunneling in Floquet spin-J systems
topic Quantum Physics
url https://arxiv.org/abs/2509.03715