A simple theory for quantum quenches in the ANNNI model

التفاصيل البيبلوغرافية
العنوان: A simple theory for quantum quenches in the ANNNI model
المؤلفون: Robertson, Jacob H., Senese, Riccardo, Essler, Fabian H. L.
المصدر: SciPost Phys. 15, 032 (2023)
سنة النشر: 2023
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Condensed Matter - Strongly Correlated Electrons, Quantum Physics
الوصف: 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.
Comment: 25 pages, 13 figures
نوع الوثيقة: Working Paper
DOI: 10.21468/SciPostPhys.15.1.032
الوصول الحر: http://arxiv.org/abs/2301.04070Test
رقم الانضمام: edsarx.2301.04070
قاعدة البيانات: arXiv