تقرير
Local quenches in fracton field theory: Lieb-Robinson bound, non-causal dynamics and fractal excitation patterns
| العنوان: | Local quenches in fracton field theory: Lieb-Robinson bound, non-causal dynamics and fractal excitation patterns |
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| المؤلفون: | Ageev, Dmitry S., Bagrov, Andrey A., Belokon, Aleksandr I., Iliasov, Askar, Pushkarev, Vasilii V., Verheijen, Femke |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | We study the out-of-equilibrium dynamics induced by a local perturbation in fracton field theory. For the ${\mathbb Z}_4$ and ${\mathbb Z}_8$-symmetric free fractonic theories, we compute the time dynamics of several observables such as the two-point Green function, $\langle \phi^2 \rangle$ condensate, energy density, and the dipole momentum. The time-dependent considerations highlight that the free fractonic theory breaks causality and exhibits instantaneous signal propagation, even if an additional relativistic term is included to enforce a speed limit in the system. We show that it is related to the fact that the Lieb-Robinson bound does not hold in the continuum limit of the fracton field theory, and the effective bounded speed of light does not emerge. For the theory in finite volume, we show that the fracton wave front acquires fractal shape with non-trivial Hausdorff dimension, and argue that this phenomenon cannot be explained by a simple self-interference effect. Comment: v1: 25 pages, 7 figures; v2: 25 pages, 7 figures, references added, minor corrections; v3: 32 pages, 8 figures, chapter 5 added; v4: 32 pages, 8 figures, acknowledgments updated |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.11197 |
| رقم الأكسشن: | edsarx.2310.11197 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |