What surface maximizes entanglement entropy? - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review D Année : 2014

What surface maximizes entanglement entropy?

Amin Faraji Astaneh
  • Fonction : Auteur
Gary Gibbons
  • Fonction : Auteur

Résumé

For a given quantum field theory, provided the area of the entangling surface is fixed, what surface maximizes entanglement entropy? We analyze the answer to this question in four and higher dimensions. Surprisingly, in four dimensions the answer is related to a mathematical problem of finding surfaces which minimize the Willmore (bending) energy and eventually to the Willmore conjecture. We propose a generalization of the Willmore energy in higher dimensions and analyze its minimizers in a general class of topologies Sm×Sn and make certain observations and conjectures which may have some mathematical significance

Dates et versions

hal-01204978 , version 1 (24-09-2015)

Identifiants

Citer

Sergey Solodukhin, Amin Faraji Astaneh, Gary Gibbons. What surface maximizes entanglement entropy?. Physical Review D, 2014, ⟨10.1103/PhysRevD.90.085021⟩. ⟨hal-01204978⟩
20 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More