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arXiv · 2406.16585

Chaos and magic in the dissipative quantum kicked top

Gianluca Passarelli·Procolo Lucignano·Davide Rossini·Angelo Russomanno
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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.

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Gianluca Passarelli, Procolo Lucignano, Davide Rossini, Angelo Russomanno. 2024-06-24. Chaos and magic in the dissipative quantum kicked top. https://doi.org/10.22331/q-2025-03-05-1653

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