Single-photon scattering controlled by an imperfect cavity

Abstract

We study the single-photon transport in the coupled-resonator waveguide (CRW) controlled by an imperfect cavity. A Lorentzian spectrum is introduced to describe the dissipation. We find that the probability current conservation can be broken, although the imperfect cavity is a Hermitian system. The coupling strength between the imperfect cavity and the CRW has significant influences near the resonant frequency. With the increase of the coupling strength, the transmission coefficient becomes smaller. The spectral width plays a dominant role under the off-resonant condition, where the transmission coefficient is greatly suppressed with the increase of the spectral width. We also observe an abrupt jump of the transmission and reflection coefficients when the hopping amplitude is large enough. All the distinctive behaviors are closely related to the complex effective potential induced by the imperfect cavity.

7 pages, 6 figures

References in corpus (7)

• The Quantum Internet
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Non-Markovian effects on the dynamics of entanglement
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Single-photon transport and mechanical NOON state generation in microcavity optomechanics
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems