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

Author(s)
Ecker, Christian; Grumiller, Daniel; van der Schee, Wilke; Stanzer, Philipp
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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. 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.
Date issued
2018-06
URI
http://hdl.handle.net/1721.1/116607
Department
Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Laboratory for Nuclear Science
Journal
Physical Review D
Publisher
American Physical Society
Citation
Ecker, Christian et al. "Saturation of the quantum null energy condition in far-from-equilibrium systems." Physical Review D 97, 12 (June 2018): 126016
Version: Final published version
ISSN
2470-0010
2470-0029

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