Stabilizer entropy dynamics after a quantum quench

• URL: http://arxiv.org/abs/2304.13768v4
• Date: Sun, 5 Nov 2023 15:45:04 GMT
• Title: Stabilizer entropy dynamics after a quantum quench
• Authors: Davide Rattacaso, Lorenzo Leone, Salvatore F.E. Oliviero, Alioscia Hamma
• Abstract summary: We study the dynamics of Stabilizer entropies (SE) in a quantum many-body system away from the equilibrium after a quantum quench. We show that SE, despite being an L-extensive quantity, equilibrates in a time that scales at most linearly with the subsystem size. We also show that there is a SE length increasing linearly in time, akin to correlations and entanglement spreading.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Stabilizer entropies (SE) measure deviations from stabilizer resources and as such are a fundamental ingredient for quantum advantage. In particular, the interplay of SE and entanglement is at the root of the complexity of classically simulating quantum many-body systems. In this paper, we study the dynamics of SE in a quantum many-body system away from the equilibrium after a quantum quench in an integrable system. We obtain two main results: (i) we show that SE, despite being an L-extensive quantity, equilibrates in a time that scales at most linearly with the subsystem size; and (ii) we show that there is a SE length increasing linearly in time, akin to correlations and entanglement spreading.

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