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Quantum Null Energy Condition and its (non)saturation in 2d CFTs · Around

2019

Quantum Null Energy Condition and its (non)saturation in 2d CFTs

Ecker, Christian, Grumiller, Daniel, van der Schee, Wilke et al.

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We consider the Quantum Null Energy Condition (QNEC) for holographic conformal field theories in two spacetime dimensions (CFT$_2$).

We show that QNEC saturates for all states dual to vacuum solutions of AdS$_3$ Einstein gravity, including systems that are far from thermal equilibrium.
If the Ryu-Takayanagi surface encounters bulk matter QNEC does not need to be saturated, whereby we give both analytical and numerical examples.
In particular, for CFT$_2$ with a global quench dual to AdS$_3$-Vaidya geometries we find a curious half-saturation of QNEC for large entangling regions.

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