Related papers: A simple theory for quantum quenches in the ANNNI model

A simple theory for quantum quenches in the ANNNI model

URL: http://arxiv.org/abs/2301.04070v2
Date: Mon, 3 Apr 2023 15:01:14 GMT
Title: A simple theory for quantum quenches in the ANNNI model
Authors: Jacob H. Robertson, Riccardo Senese and Fabian H. L. Essler
Abstract summary: Signatures of proximate quantum critical points can be observed at early and intermediate times after certain quantum quenches. We construct a time-dependent mean-field theory that allows us to obtain a quantitatively accurate description of these quenches at short times.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: In a recent numerical study by Haldar et al. (Phys. Rev. X 11, 031062) it was shown that signatures of proximate quantum critical points can be observed at early and intermediate times after certain quantum quenches. Said work focused mainly on the case of the axial next-nearest neighbour Ising (ANNNI) model. Here we construct a simple time-dependent mean-field theory that allows us to obtain a quantitatively accurate description of these quenches at short times, which for reasons we explain remains a fair approximation at late times (with some caveats). Our approach provides a simple framework for understanding the reported numerical results as well as fundamental limitations on detecting quantum critical points through quench dynamics. We moreover explain the origin of the peculiar oscillatory behaviour seen in various observables as arising from the formation of a long-lived bound state.

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