4 papers
A Quantum Dominant Energy Condition
Stefan Hollands, Roberto Longo, Gerardo Morsella
We propose a quantum dominant energy condition (QDEC) for the stress tensor in the context of quantum field theory in curved spacetimes. A rigorous proof is given for the case of R…
Bekenstein's bound for wave packets
Stefan Hollands, Roberto Longo, Gerardo Morsella
Let be a spatial region of width and a Klein-Gordon wave packet localized in at time zero. We show the inequality ; here, is the entropy of $Φ…
A New Proof of the QNEC
Stefan Hollands, Roberto Longo
We give a simplified proof of the quantum null energy condition (QNEC). Our proof is based on an explicit formula for the shape derivative of the relative entropy, with respect to…
Bekenstein Bound for Approximately Local Charged States
Stefan Hollands, Roberto Longo
We generalize the energy-entropy ratio inequality in quantum field theory (QFT) established by one of us from localized states to a larger class of states. The states considered in…