Late-time critical behavior of local string-like observables under quantum quenches

• URL: http://arxiv.org/abs/2205.00201v2
• Date: Mon, 26 Dec 2022 22:35:15 GMT
• Title: Late-time critical behavior of local string-like observables under quantum quenches
• Authors: Souvik Bandyopadhyay, Anatoli Polkovnikov, Amit Dutta
• Abstract summary: In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems far from equilibrium. We develop a method to probe ground state critical physics through nonequilibrium post-quench dynamics. Our results can also be used to explain critical signatures in post-quench domain formation, seen in a recent experiment with trapped ion quantum simulators.
• Score: 12.815619486162594
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a quench and develop a robust method to systematically probe ground state critical physics through nonequilibrium post-quench dynamics. Analyzing late-time behavior of finite string-like observables, we find emerging sharp signatures of equilibrium criticality. Specifically, these observables accurately detect equilibrium critical points and universal scaling exponents after long times following a quench. This happens despite the fact that the analyzed systems are strongly chaotic/ergodic and is interestingly due to a strong memory of the initial conditions retained by these observables after quench. We find that our results can also be used to explain critical signatures in post-quench domain formation, seen in a recent experiment with trapped ion quantum simulators.

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