Transport of Correlations in a Harmonic Chain

Abstract

We study the propagation of different types of correlations through a quantum bus formed by a chain of coupled harmonic oscillators. This includes steering, entanglement, mutual information, quantum discord, and Bell-like nonlocality. The whole system consists of the quantum bus (propagation medium) and other quantum harmonic oscillators (sources and receivers of quantum correlations) weakly coupled to the chain. We are particularly interested in using the point of view of transport to spot distinctive features displayed by different kinds of correlations. We found, for instance, that there are fundamental differences in the way steering and discord propagate, depending on the way they are defined with respect to the parties involved in the initial correlated state. We analyzed both the closed- and open-system dynamics as well as the role played by thermal excitations in the propagation of the correlations.

12 pages, 13 figures, Published version

References in corpus (9)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Quantum discord and the power of one qubit
• On the quantum, classical and total amount of correlations in a quantum state
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Quantification of Gaussian quantum steering
• Symplectic invariants, entropic measures and correlations of Gaussian states
• Quantum discord bounds the amount of distributed entanglement
• Coupled Harmonic Systems as Quantum Buses in Thermal Environments
• Spontaneous emission and teleportation in cavity QED

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• Exceptional-point-assisted entanglement, squeezing, and reset in a chain of three superconducting resonators
• Quantum versus classical transport of energy in coupled two-level systems
• Energy transport in the presence of entanglement
• Weyl-Wigner Representation of Canonical Equilibrium States
• Rise and fall of entanglement between two qubits in a non-Markovian bath
• Quantum Corralling
• High-fidelity state transfer via quantum walks from delocalized states
• Thermal transport through a single trapped ion under strong laser illumination