Non-Markovian effects in waveguide-mediated entanglement

TL;DR

This paper investigates how non-Markovian effects influence entanglement between two qubits coupled via a waveguide, revealing that stronger coupling invalidates Markovian assumptions and hampers entanglement generation.

Contribution

It provides a quantum electrodynamical analysis going beyond the Markovian approximation to understand entanglement dynamics in waveguide-coupled qubits.

Findings

Increased qubit-waveguide coupling invalidates the Markov approximation.

Non-Markovian effects can reduce entanglement generation.

Diagonalization reveals quasi-localized eigenstates affecting dynamics.

Abstract

We study the generation and evolution of entanglement between two qubits coupled through one-dimensional waveguide modes. By using a complete quantum electrodynamical formalism we go beyond the Markovian approximation. The diagonalization of the hamiltonian is carried out, and a set of quasi-localized eigenstates is found. We show that when the qubit-waveguide coupling is increased, the Markov approximation is not anymore valid, and the generation of entanglement is worsened.