NDLI: A note on entanglement entropy, coherent states and gravity

Content Provider	Springer Nature Link
Author	Varadarajan, Madhavan
Copyright Year	2016
Abstract	The entanglement entropy of a free quantum field in a coherent state is independent of its stress energy content. We use this result to highlight the fact that while the Einstein equations for first order variations about a locally maximally symmetric vacuum state of geometry and quantum fields seem to follow from Jacobson’s principle of maximal vacuum entanglement entropy, their possible derivation from this principle for the physically relevant case of finite but small variations remains an open issue. We also apply this result to the context of Bianchi’s identification, independent of unknown Planck scale physics, of the first order variation of Bekenstein–Hawking area with that of vacuum entanglement entropy. We argue that under certain technical assumptions this identification seems not to be extendible to the context of finite but small variations to coherent states. Our particular method of estimation of entanglement entropy variation reveals the existence of certain contributions over and above those of References Jacobson ( arXiv:1505.04753 , 2015), Bianchi ( arXiv:1211.0522 [gr-qc], 2012). We discuss the sense in which these contributions may be subleading to those in References Jacobson ( arXiv:1505.04753 , 2015), Bianchi ( arXiv:1211.0522 [gr-qc], 2012).
Starting Page	1
Ending Page	17
Page Count	17
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	48
Issue Number	3
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2016-03-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coherent states in curved spacetime Entanglement entropy Gravity Theoretical, Mathematical and Computational Physics Classical and Quantum Gravitation, Relativity Theory Differential Geometry Astronomy, Astrophysics and Cosmology Quantum Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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