skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Energy density from second shape variations of the von Neumann entropy

Journal Article · · Physical Review D

Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1477552
Journal Information:
Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 8; ISSN 2470-0010
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (41)

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime journal January 2015
Building up spacetime with quantum entanglement journal June 2010
Entanglement Equilibrium and the Einstein Equation journal May 2016
Entropy on a null surface for interacting quantum field theories and the Bousso bound journal April 2015
Building up Space–Time with Quantum Entanglement journal December 2010
Proof of the generalized second law for rapidly evolving Rindler horizons journal December 2010
Relative entropy and the Bekenstein bound journal September 2008
Nonlinear gravity from entanglement in conformal field theories journal August 2017
Averaged null energy condition from causality journal July 2017
Gravitational dynamics from entanglement “thermodynamics” journal April 2014
Saturation of the quantum null energy condition in far-from-equilibrium systems journal June 2018
Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices journal May 2012
Cool horizons for entangled black holes journal August 2013
Holographic proof of the quantum null energy condition journal July 2016
Shape dependence of entanglement entropy in conformal field theories journal April 2016
Some calculable contributions to holographic entanglement entropy journal August 2011
Entanglement density and gravitational thermodynamics journal May 2015
Local modular Hamiltonians from the quantum null energy condition journal March 2018
Quantum focusing conjecture journal March 2016
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Bare Quantum Null Energy Condition journal February 2018
Modular Hamiltonians on the null plane and the Markov property of the vacuum state journal August 2017
Thermodynamics of Spacetime: The Einstein Equation of State journal August 1995
Modular Hamiltonians for deformed half-spaces and the averaged null energy condition journal September 2016
Lower Bound on the Energy Density in Classical and Quantum Field Theories journal April 2017
State-dependent divergences in the entanglement entropy journal October 2016
A covariant holographic entanglement entropy proposal journal July 2007
Ads/CFT correspondence and symmetry breaking journal September 1999
Holographic entanglement entropy for general higher derivative gravity journal January 2014
Violating the quantum focusing conjecture and quantum covariant entropy bound in d ⩾ 5 dimensions journal August 2017
Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal March 2001
A Stress Tensor for Anti-de Sitter Gravity journal December 1999
Proof of the quantum null energy condition journal January 2016
Quantum corrections to holographic entanglement entropy journal November 2013
Erratum: Proof of the generalized second law for rapidly changing fields and arbitrary horizon slices [Phys. Rev. D 85 , 104049 (2012)] journal March 2013
Proof of a quantum Bousso bound journal August 2014
Relative entropy equals bulk relative entropy journal June 2016
Entropy, extremality, euclidean variations, and the equations of motion journal January 2018
Gravitation from entanglement in holographic CFTs journal March 2014
Some results on the shape dependence of entanglement and Rényi entropies journal February 2015
Dynamics of entanglement entropy from Einstein equation journal July 2013

Similar Records

Replacing energy by von Neumann entropy in quantum phase transitions
Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Annals of Physics (New York) · OSTI ID:1477552

Von Neumann entropy and phase distribution of two mode parametric amplifier interacting with a single atom
Journal Article · Mon Aug 01 00:00:00 EDT 2005 · Annals of Physics (New York) · OSTI ID:1477552

von Neumann entropy associated with the haldane exclusion statistics
Journal Article · Mon Feb 13 00:00:00 EST 1995 · Physical Review Letters; (United States) · OSTI ID:1477552

Related Subjects