Timelike Entanglement: From Scrambling and Spectral Form Factors to Eigenvector Ergodicity

by Rathindra Das

Weizmann

at Particles and Fields Seminar

Mon, 05 Jan 2026, 14:00
Sacta-Rashi Building for Physics (54), room 207

Abstract

I will present a finite-dimensional formulation of timelike entanglement defined from multi-time correlation functions between operators on different Cauchy slices, using a local orthonormal operator basis to express the construction as a generalized response tensor. This leads to a generalized spacetime density kernel (GSDK) that organizes higher-point correlators, . I will then describe upcoming results in the Rosenzweig–Porter model showing that timelike entanglement entropies and spectra of the spacetime kernel sharply probe eigenvector ergodicity across localized, fractal, and ergodic regimes, quantified via timelike Tsallis entropies, Schatten-norm “imagitivity” (kernel non-Hermiticity), and a kernel negativity defined by the negative spectral weight of the Hermitian part, whose time-averaged behavior tracks the ergodic–fractal–localized crossover.

Created on 03-01-2026 by Chapman, Shira (schapman)
Updaded on 03-01-2026 by Chapman, Shira (schapman)