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Mixed eigenstates in spin-boson systems with one-photon and two-photon interactions

David Villaseñor* and Marko Robnik†

  • CAMTP—Center for Applied Mathematics and Theoretical Physics, University of Maribor, Mladinska 3, SI-2000 Maribor, Slovenia, European Union

  • *Contact author: d.v.pcf.cu@gmail.com
  • †Contact author: marko.robnik@guest.um.si
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Phys. Rev. E 114, 044206 – Published 9 October, 2026

DOI: https://doi.org/10.1103/4sc6-546j

Abstract

Spin-boson systems have attracted increasing attention as accessible experimental platforms and for their potential applications in designing quantum technologies. One characteristic of these systems is the transition from regular to completely chaotic behavior when certain control parameters are varied. However, the characterization of their mixed phase space has not been thoroughly explored. In this work, we investigate the properties of mixed eigenstates in spin-boson systems, comparing one-photon interactions with two-photon interactions. We propose a generalized definition of the phase-space overlap index to identify genuine mixed eigenstates. Our study highlights the fundamental differences that arise when two-photon processes are considered compared to one-photon processes and provides complementary evidence supporting the validity of the principle of uniform semiclassical condensation of quasiprobability functions in spin-boson systems.

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Phys. Rev. E 114, 044206– Published 9 October, 2026
  • Received 7 April 2026
  • Revised 1 July 2026
  • Accepted 24 September 2026
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