Measuring temporal entropies in experiments

TL;DR

This paper introduces a new experimental protocol to measure generalized temporal entropies in quantum systems, using local probes and tensor network simulations, with implications for understanding quantum dynamics and classifying different quantum phases.

Contribution

The paper presents a novel protocol for measuring generalized temporal entropies in many-body quantum systems, validated through tensor network simulations and feasible with current quantum simulators.

Findings

Protocol accurately measures generalized temporal entropies

Simulations confirm the protocol's validity and feasibility

Differences in dynamics reveal potential for classifying quantum phases

Abstract

We propose a novel experimental protocol to measure generalized temporal entropies in many-body quantum systems. Our approach involves using local operators as probes to characterize the out-of-equilibrium dynamics induced by a geometric double quench on a replicated system. Such protocol mimics the path-integral on the corresponding Riemann surface encoding generalized temporal entanglement. We present the results of tensor network simulations of one-dimensional systems which validate the protocol and demonstrate the experimental feasibility of measuring generalized temporal entropies, and we outline the experimental requirements for implementing these quenches using state-of-the-art quantum simulators. Therefore, our results provide a physical interpretation of the meaning of generalized temporal entropies. Furthermore, they reveal that the dynamics induced on two replicas of the Ising model in a transverse field differ qualitatively from the ones of its non-integrable extension, suggesting that generalized temporal entropies can be used as a tool for identifying different dynamical classes in quantum systems.