تقرير
Entanglement asymmetry in conformal field theory and holography
| العنوان: | Entanglement asymmetry in conformal field theory and holography |
|---|---|
| المؤلفون: | Benini, Francesco, Godet, Victor, Singh, Amartya Harsh |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Condensed Matter - Statistical Mechanics, Condensed Matter - Strongly Correlated Electrons, Quantum Physics |
| الوصف: | Entanglement asymmetry is a measure of symmetry breaking in quantum subsystems, inspired by quantum information theory, particularly suited to study out-of-equilibrium states. We study the entanglement asymmetry of a class of excited "coherent states" in conformal quantum field theories with a U(1) symmetry, employing Euclidean path-integral methods with topological symmetry defects and the replica formalism. We compute, at leading order in perturbation theory, the asymmetry for a variety of subsystems, including finite spherical subregions in flat space, in finite volume, and at positive temperature. We also study its Lorentzian time evolution, showcasing the dynamical restoration of the symmetry due to thermalization, as well as the presence of a quantum Mpemba effect. Our results are universal, and apply in any number of dimensions. We also show that the perturbative entanglement asymmetry is related to the Fisher information metric, which has a known holographic dual called Hollands-Wald canonical energy, and that it is captured by the AdS bulk charge contained in the entanglement wedge. Comment: 29 pages plus appendices, 11 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.07969 |
| رقم الأكسشن: | edsarx.2407.07969 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |