Chimera states in quantum mechanics

TL;DR

This paper explores the existence of chimera states, characterized by coexistence of synchronized and desynchronized behaviors, within a quantum network of coupled oscillators, linking classical phenomena to quantum correlations.

Contribution

It introduces the concept of quantum chimera states, demonstrating their signatures in quantum correlations and connecting them to quantum information theory.

Findings

Identification of chimera-like quantum correlations in covariance matrices

Establishment of a link between chimera states and quantum mutual information

Demonstration of quantum chimera states in a network of Van der Pol oscillators

Abstract

Classical chimera states are paradigmatic examples of partial synchronization patterns emerging in nonlinear dynamics. These states are characterized by the spatial coexistence of two dramatically different dynamical behaviors, i.e., synchronized and desynchronized dynamics. Our aim in this contribution is to discuss signatures of chimera states in quantum mechanics. We study a network with a ring topology consisting of N coupled quantum Van der Pol oscillators. We describe the emergence of chimera-like quantum correlations in the covariance matrix. Further, we establish the connection of chimera states to quantum information theory by describing the quantum mutual information for a bipartite state of the network.