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Stabilizer entropy in nonintegrable quantum evolutions

Jovan Odavić, Michele Viscardi, Alioscia Hamma

2025Physical review. B./Physical review. B24 citationsDOIOpen Access PDF

Abstract

Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we study the dynamics of entanglement, stabilizer entropy, and the anti-flatness of the entanglement spectrum after a quantum quench in a spin chain. We find that free-fermion theories show a gap in the long-time behavior of these resources compared to their random matrix theory value while non-integrable models saturate it.

Topics & Concepts

Stabilizer (aeronautics)Integrable systemQuantumPhysicsEntropy (arrow of time)MathematicsMathematical physicsQuantum mechanicsEngineeringMechanical engineeringAdvanced Thermodynamics and Statistical MechanicsStatistical Mechanics and Entropy
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