Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions

Abstract

We study photon-photon correlations and entanglement generation in a one-dimensional waveguide coupled to two qubits with an arbitrary spatial separation. We develop a novel Green function method to study vacuum-mediated qubit-qubit interactions, including both spontaneous and coherent couplings. As a result of these interactions, quantum beats appear in the second-order correlation function. We go beyond the Markovian regime and observe that such quantum beats persist much longer than the qubit life time. Using these non-Markovian processes, a high degree of long-distance entanglement can be generated, making waveguide-QED systems promising candidates for scalable quantum networking.

5 pages main text + 5 pages supplementary material; substantial rewriting of the discussion about effective qubit lifetime, loss effects, and experimental relevance

References in corpus (10)

• The Quantum Internet
• Coupling Superconducting Qubits via a Cavity Bus
• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Dynamics of the entanglement between two oscillators in the same environment
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Quantum Interferences in Cooperative Dicke Emission from Spatial Variation of Laser Phase
• Stimulated Emission from a single excited atom in a waveguide
• Scattering of electrons from an interacting region

Cited by in corpus (10)

• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Scattering in the ultrastrong regime: nonlinear optics with one photon
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Scattering of two photons from two distant qubits: Exact solution
• Generation, manipulation, and detection of two-qubit entanglement in waveguide QED
• Control of single-photon transport in a one-dimensional waveguide by another single photon
• Nonlinear quantum optics in the (ultra)strong light-matter coupling
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• One-photon wavepacket interacting with two separated atoms in a one-dimensional waveguide: Influence of virtual photons