تقرير
Entanglement entropy in the ground state of non-interacting massless Dirac fermions in dimension one
| العنوان: | Entanglement entropy in the ground state of non-interacting massless Dirac fermions in dimension one |
|---|---|
| المؤلفون: | Ferro, Fabrizio, Pfeiffer, Paul, Spitzer, Wolfgang |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics |
| الوصف: | We present a novel proof of a formula of Casini and Huerta for the entanglement entropy of the ground state of non-interacting massless Dirac fermions in dimension one localized to (a union of) intervals and generalize it to the case of R\'enyi entropies. At first, we prove that these entropies are well-defined for non-intersecting intervals. This is accomplished by an inequality of Alexander V.~Sobolev. Then we compute this entropy using a trace formula for Wiener--Hopf operators by Harold Widom. For intersecting intervals, we discuss an extended entropy formula of Casini and Huerta and support this with a proof for polynomial test functions (instead of entropy). |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07068 |
| رقم الأكسشن: | edsarx.2404.07068 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |