Chaos and magic in the dissipative quantum kicked top

• URL: http://arxiv.org/abs/2406.16585v1
• Date: Mon, 24 Jun 2024 12:19:19 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. We find that the nonstabilizerness averaged over trajectories, mirrors the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 the classical chaotic behavior, while the entanglement entropy has no relation with chaos in the thermodynamic limit.

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