Institute of Fundamental Physics IFF-CSIC, Madrid, Spain
Long-range correlations in the out-of-equilibrium dynamics
After discussing how space-time dualities cannot in general break the entanglement barrier as discussed in [1]
I will explain how in [2] we show that the entanglement barrier can be circumvented by identifying long-range entanglement and trading it for mixture
In this way we can design a novel class of algorithms based on tensor networks that allow to predict the long-time evolution of local observables with a finite computational cost.
References:
[1] "On temporal entropy and the complexity of computing the expectation value of local operators after a quench" Stefano Carignano, Carlos Ramos Marimón, Luca Tagliacozzo, arXiv:2307.11649
[2] "Converting long-range entanglement into mixture: tensor-network approach to local equilibration" Miguel Frías-Pérez, Luca Tagliacozzo, Mari Carmen Bañuls, arXiv:2308.04291