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The Quantum Null Energy Condition and Entanglement Entropy in Quenches
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The Quantum Null Energy Condition (QNEC) relates energy to the second variation of entropy in relativistic quantum field theory. We use the QNEC inequality to bound entanglement entropy in quenches. At early times the entanglement entropy grows quadratically in time, and the QNEC provides an upper bound on the prefactor. We demonstrate that the bound is tight, by showing that it is saturated in certain quench protocols: boundary state quenches in conformal field theories in any dimensions. In higher than two dimensions we compute entanglement entropy using AdS/CFT. Our results are the first purely field theoretic applications of the QNEC.
Forward citations
Cited by 2 Pith papers
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The entanglement membrane in 2d CFT: reflected entropy, RG flow, and information velocity
A generalized entanglement membrane with an extra bulk-depth degree of freedom correctly captures reflected entropy in 2d CFT, and a relevant deformation restores the ordinary non-degenerate membrane tension.
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Generalized Clausius inequalities and entanglement production in holographic two-dimensional CFTs
In holographic 2D CFTs, the quantum null energy condition bounds entropy production in quenches between thermal states with momentum, giving generalized Clausius inequalities and exact entanglement growth laws.
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