Chaos and magic in the dissipative quantum kicked top

Gianluca Passarelli; Procolo Lucignano; Davide Rossini; Angelo Russomanno

doi:10.22331/q-2025-03-05-1653

Chaos and magic in the dissipative quantum kicked top

Gianluca Passarelli¹, Procolo Lucignano¹, Davide Rossini², and Angelo Russomanno¹

¹Dipartimento di Fisica ``E. Pancini'', Università di Napoli Federico II, I-80126 Napoli, Italy
²Dipartimento di Fisica dell'Università di Pisa & INFN Sezione di Pisa, Largo B. Pontecorvo 3, Pisa, I-56127, Italy

Published:	2025-03-05, volume 9, page 1653
Editor:	Philip Taranto
Eprint:	arXiv:2406.16585v3
Doi:	https://doi.org/10.22331/q-2025-03-05-1653
Citation:	Quantum 9, 1653 (2025).

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Updated version: The authors have uploaded version v4 of this work to the arXiv which may contain updates or corrections not contained in the published version v3. The authors left the following comment on the arXiv:

16 pages, 15 figures, final version, accepted in Quantum; fixed a typo in Eq. (11)

Abstract

We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular and chaotic regimes. At finite size, we describe the system dynamics using stochastic quantum trajectories. We find that the asymptotic nonstabilizerness (alias the $magic$, a measure of quantum complexity), averaged over trajectories, mirrors to some extent the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit.

► BibTeX data

@article{Passarelli2025chaosmagicin,
  doi = {10.22331/q-2025-03-05-1653},
  url = {https://doi.org/10.22331/q-2025-03-05-1653},
  title = {Chaos and magic in the dissipative quantum kicked top},
  author = {Passarelli, Gianluca and Lucignano, Procolo and Rossini, Davide and Russomanno, Angelo},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1653},
  month = mar,
  year = {2025}
}

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