Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting

TL;DR

This paper demonstrates that stochastic resetting can induce and optimize pairwise entanglement in periodically driven quantum spin chains, revealing critical and optimal resetting rates with non-monotonic frequency dependence.

Contribution

It introduces the concept of stochastic resetting as a means to generate and control entanglement in quantum spin chains under periodic driving, including analytical and numerical analysis.

Findings

Steady state pairwise entanglement exists above a critical resetting rate.

An optimal resetting rate maximizes the concurrence.

Special drive frequencies cause the critical and optimal rates to vanish or minimize.

Abstract

We show that stochastic resetting may lead to finite entanglement between individual, spatially separated spins (pairwise entanglement) in the steady state of the spin chains driven periodically with frequency $\omega_D$. We find the presence of a critical resetting rate $r_c$ below which the steady state pairwise entanglement, measured via concurrence $C$, vanishes. We also identify an optimal resetting rate $r_m$ at which $C$ becomes maximum. These critical and optimal rates exhibit a non-monotonic dependence on $\omega_D$. Our analysis demonstrates the existence of special drive frequencies at which $r_c$ vanishes and $r_m$ attains minima. We compute $C$ in the presence of stochastic resetting using exact diagonalization for both the integrable XY model and non-integrable Rydberg spin chains, which demonstrate these features. Our numerical results match perturbative analytical expressions for the special drive frequencies in the large drive amplitude regime.