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

Title: Saturation of the quantum null energy condition in far-from-equilibrium systems

Abstract

The quantum null energy condition (QNEC) is a new local energy condition that a general quantum field theory (QFT) is believed to satisfy, relating the classical null energy condition (NEC) to the second functional derivative of the entanglement entropy in the corresponding null direction. We present the first series of explicit computations of QNEC in a strongly coupled QFT, using holography. Here we consider the vacuum, thermal equilibrium, a homogeneous far-from-equilibrium quench as well as a colliding system that violates NEC. For the vacuum and thermal phase, QNEC is always weaker than NEC. While for the homogeneous quench QNEC is satisfied with a finite gap, we find the interesting result that the colliding system can saturate QNEC, depending on the null direction.

Authors:
 [1];  [1];  [2];  [1]
  1. Technische Univ. Wien Wiedner Hauptstr., Vienna (Austria)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Utrecht, Utrecht (Netherlands)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1457076
Alternate Identifier(s):
OSTI ID: 1501456
Grant/Contract Number:  
SC0011090
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 12; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Ecker, Christian, Grumiller, Daniel, van der Schee, Wilke, and Stanzer, Philipp. Saturation of the quantum null energy condition in far-from-equilibrium systems. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.126016.
Ecker, Christian, Grumiller, Daniel, van der Schee, Wilke, & Stanzer, Philipp. Saturation of the quantum null energy condition in far-from-equilibrium systems. United States. doi:10.1103/physrevd.97.126016.
Ecker, Christian, Grumiller, Daniel, van der Schee, Wilke, and Stanzer, Philipp. Mon . "Saturation of the quantum null energy condition in far-from-equilibrium systems". United States. doi:10.1103/physrevd.97.126016.
@article{osti_1457076,
title = {Saturation of the quantum null energy condition in far-from-equilibrium systems},
author = {Ecker, Christian and Grumiller, Daniel and van der Schee, Wilke and Stanzer, Philipp},
abstractNote = {The quantum null energy condition (QNEC) is a new local energy condition that a general quantum field theory (QFT) is believed to satisfy, relating the classical null energy condition (NEC) to the second functional derivative of the entanglement entropy in the corresponding null direction. We present the first series of explicit computations of QNEC in a strongly coupled QFT, using holography. Here we consider the vacuum, thermal equilibrium, a homogeneous far-from-equilibrium quench as well as a colliding system that violates NEC. For the vacuum and thermal phase, QNEC is always weaker than NEC. While for the homogeneous quench QNEC is satisfied with a finite gap, we find the interesting result that the colliding system can saturate QNEC, depending on the null direction.},
doi = {10.1103/physrevd.97.126016},
journal = {Physical Review D},
number = 12,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.126016

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share: