Photon propagation through linearly active dimers

Abstract

We provide an analytic propagator for non-Hermitian dimers showing linear gain or losses in the quantum regime. In particular, we focus on experimentally feasible realizations of the $\mathcal{P}\mathcal{T}$-symmetric dimer and provide their mean photon number and second order two-point correlation. We study the propagation of vacuum, single photon spatially-separable, and two-photon spatially-entangled states. We show that each configuration produces a particular signature that might signal their possible uses as photon switches, semi-classical intensity-tunable sources, or spatially entangled sources to mention a few possible applications.

15 pages, 5 figures

References in corpus (4)

• Silica-on-Silicon Waveguide Quantum Circuits
• Quantum walks of correlated particles
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Revisiting the optical $PT$-symmetric dimer

Cited by in corpus (4)

• Passive $\mathcal{P}\mathcal{T}$-symmetry breaking transitions without exceptional points in dissipative photonic systems
• $\mathcal{P}\mathcal{T}$-symmetry from Lindblad dynamics in an optomechanical system
• Necklaces of $\mathcal{P}\mathcal{T}$-symmetric dimers
• Optical non-Hermitian para-Fermi oscillators