Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model

TL;DR

This paper studies how tuning interaction strength in anisotropic Heisenberg spin models affects the ergodic or nonergodic nature of quantum correlations, revealing a transition influenced by lattice dimensionality.

Contribution

It demonstrates that information-theoretic quantum correlations can transition from nonergodic to ergodic with interaction strength, highlighting the role of lattice dimensionality.

Findings

Quantum correlations are ergodic regardless of parameters.

Information-theoretic correlations show a nonergodic to ergodic transition.

Transition points vary significantly with lattice dimensionality.

Abstract

We investigate the time dynamics of quantum correlations of the anisotropic Heisenberg model in a time-dependent magnetic field, in one-dimensional, ladder, and two-dimensional lattices. We find that quantum correlation measures in the entanglement-separability paradigm are ergodic in these systems irrespective of system parameters. However, information-theoretic quantum correlation measures can also be nonergodic, and exhibit a transition from nonergodic to ergodic behavior with the change of interaction strength in the direction of the magnetic field. We also observe that the transition point changes drastically as we go from one-dimensional and ladder lattices to the two-dimensional one.