Chaos and magic in the dissipative quantum kicked top

• URL: http://arxiv.org/abs/2406.16585v2
• Date: Fri, 08 Nov 2024 13:36:50 GMT
• Title: Chaos and magic in the dissipative quantum kicked top
• Authors: Gianluca Passarelli, Procolo Lucignano, Davide Rossini, Angelo Russomanno,
• Abstract summary: We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. At finite size, we describe the system dynamics using quantum trajectories.
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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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