Chaos and magic in the dissipative quantum kicked top
Quantum Physics
2025-04-29 v4
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.
Keywords
Cite
@article{arxiv.2406.16585,
title = {Chaos and magic in the dissipative quantum kicked top},
author = {Gianluca Passarelli and Procolo Lucignano and Davide Rossini and Angelo Russomanno},
journal= {arXiv preprint arXiv:2406.16585},
year = {2025}
}
Comments
16 pages, 15 figures, final version, accepted in Quantum; fixed a typo in Eq. (11)