Renormalized entropy of entanglement in relativistic field theory

Autor(en)

Issam Ibnouhsein, Fabio Costa, Alexei Grinbaum

Abstrakt

Entanglement is defined between subsystems of a quantum system, and at fixed time two regions of space can be viewed as two subsystems of a relativistic quantum field. The entropy of entanglement between such subsystems is ill-defined unless an ultraviolet cutoff is introduced, but it still diverges in the continuum limit. This behavior is generic for arbitrary finite-energy states, hence a conceptual tension with the finite entanglement entropy typical of nonrelativistic quantum systems. We introduce a novel approach to explain the transition from infinite to finite entanglement, based on coarse graining the spatial resolution of the detectors measuring the field state. We show that states with a finite number of particles become localized, allowing an identification between a region of space and the nonrelativistic degrees of freedom of the particles therein contained, and that the renormalized entropy of finite-energy states reduces to the entanglement entropy of nonrelativistic quantum mechanics.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Université Paris XI - Paris-Sud, French Alternative Energies and Atomic Energy Commission (CEA), Österreichische Akademie der Wissenschaften (ÖAW)

Journal

Physical Review D

Band

90

Anzahl der Seiten

6

ISSN

1550-7998

DOI

https://doi.org/10.1103/PhysRevD.90.065032

Publikationsdatum

09-2014

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics, Physics and Astronomy (miscellaneous)

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b165edf7-9783-4fae-8230-9ba3736d586c