Chaos and magic in the dissipative quantum kicked top

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.

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

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Cited by in corpus (12)

• Magic spreading in random quantum circuits
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Nonstabilizerness of a Boundary Time Crystal
• The non-stabilizerness of fermionic Gaussian states
• Operational interpretation of the Stabilizer Entropy
• Non-stabilizerness in quantum-enhanced metrological protocols
• Thermodynamics of coupled time crystals with an application to energy storage
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Rise and fall of nonstabilizerness via random measurements
• Correspondence principle, dissipation, and Ginibre ensemble
• Chaos in Time: A Dissipative Continuous Quasi Time Crystals
• Van Hove singularities in stabilizer entropy densities