Entanglement and Interface Conditions on Fields

Autor:	Maj, Antonina, Nair, V. P.
Rok vydání:	2024
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	We consider the vacuum wave function of a free scalar field theory in space partitioned into two regions, with the field obeying Robin conditions (of parameter $\kappa$) on the interface. A direct integration over fields in a subregion is carried out to obtain the reduced density matrix. This leads to a constructive proof of the Reeh-Schlieder theorem. We analyze the entanglement entropy as a function of the Robin parameter $\kappa$. We also consider a specific conditional probability as another measure of entanglement which is more amenable to analysis of the dependence on interface conditions. Finally, we discuss a direct calculation of correlation functions and how it gives an alternate route to the reduced density matrix. Comment: 28 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.09491 Zobrazit plný text záznamu View this record from Arxiv