Temporal Entanglement of Quantum Fields

by Michal Heller (Ghent University)

Tuesday Apr 29, 2025, 2:00 PM → 3:00 PM Europe/Rome

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Entanglement and its entropy have been the driving force behind a significant body of developments in contemporary theoretical physics. In the spacetime picture of quantum field theory, the entanglement entropy is associated with spatial. However, insights from tensor networks, conformal field theory and holography indicate it might be also interesting to similarly characterize properties of temporal subregions. In my talk I will show that the natural geometric quantity to consider in holographic quantum field theories are complex generalizations of Ryu-Takayanagi surfaces. Furthermore, I will discuss how these surfaces can be obtained via a systematic analytic continuation procedure applied to entanglement entropy that can be implemented at least in principle in a general quantum field theory setup. Based on 2408.15752 and 250x.xxxxx with Fabio Ori and Alexandre Serantes.