Report
Hydrodynamics and the eigenstate thermalization hypothesis
| العنوان: | Hydrodynamics and the eigenstate thermalization hypothesis |
|---|---|
| المؤلفون: | Capizzi, Luca, Wang, Jiaozi, Xu, Xiansong, Mazza, Leonardo, Poletti, Dario |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics |
| الوصف: | The eigenstate thermalization hypothesis (ETH) describes the properties of diagonal and off-diagonal matrix elements of local operators in the eigenenergy basis. In this work, we propose a relation between (i) the singular behaviour of the off-diagonal part of ETH at small energy differences, and (ii) the smooth profile of the diagonal part of ETH as a function of the energy density. We establish this connection from the decay of the autocorrelation functions of local operators, which is constrained by the presence of local conserved quantities whose evolution is described by hydrodynamics. We corroborate our predictions with numerical simulations of two non-integrable spin-1 Ising models, one diffusive and one super-diffusive, which we perform using dynamical quantum typicality up to 18 spins. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.16975 |
| رقم الانضمام: | edsarx.2405.16975 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |