de Sitter space, extremal surfaces and time entanglement
APA
(2024). de Sitter space, extremal surfaces and time entanglement. SciVideos. https://youtube.com/live/gYZ3TEDSmiY
MLA
de Sitter space, extremal surfaces and time entanglement. SciVideos, Aug. 28, 2024, https://youtube.com/live/gYZ3TEDSmiY
BibTex
@misc{ scivideos_ICTS:29470, doi = {}, url = {https://youtube.com/live/gYZ3TEDSmiY}, author = {}, keywords = {}, language = {en}, title = {de Sitter space, extremal surfaces and time entanglement}, publisher = {}, year = {2024}, month = {aug}, note = {ICTS:29470 see, \url{https://scivideos.org/icts-tifr/29470}} }
Abstract
I will describe extremal surfaces in de Sitter space anchored at the future boundary I+. Since such surfaces do not return, they require extra data in the past. In entirely Lorentzian dS, this leads to future-past timelike surfaces stretching between I+/I-, with pure imaginary area (relative to spacelike surfaces in AdS). With a no-boundary type boundary condition, the top half of these joins with a spacelike part on the hemisphere giving a complex-valued area. These can be thought of as certain analytic continuations from AdS while also amounting to space-time rotations. The areas are best interpreted as pseudo-entropy or time-entanglement (entanglement-like structures with timelike separations). I will also briefly discuss multiple subregions, entropy relations, the pseudo-entanglement wedge, a heuristic Lewkowycz-Maldacena formulation, as well as aspects in toy models in quantum mechanics, involving the time evolution operator, reduced transition amplitudes, and future-past entangle...