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:
-
- Technische Univ. Wien Wiedner Hauptstr., Vienna (Austria)
- 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}
}
DOI: 10.1103/physrevd.97.126016
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