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Optics Express

Controllable scattering of a single photon inside a one-dimensional coupled resonator waveguide with second-order nonlinearity

Y. H. Zhou, X. Y. Zhang, Dan Dan Zou, Qi‐Cheng Wu, Biao‐Liang Ye, Yu-Liang Fang, H. Z. Shen, Chui‐Ping Yang

Published Dec 11, 2019• 5 citations
Publisher

Abstract

We note that most of the studies of the single photon scattering inside a one-dimensional coupled resonator waveguide are based on the waveguide coupling with the atom systems. In this paper, we will study the single photon scattering enabled by another system, i.e., the second-order nonlinearity, which can act as a single photon switch to control the single photon transmission and reflection inside the one-dimensional coupled resonator waveguide. The transmission rate is calculated to analyze the single-photon scattering properties. In addition, a more complicated second-order nonlinear form, i.e., three-wave mixing, is discussed to control single photon transmission inside the one-dimensional coupled resonator waveguide.

DOI
10.1364/oe.380250

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We note that most of the studies of the single photon scattering inside a one-dimensional coupled resonator waveguide are based on the waveguide coupling with the atom systems. In this paper, we will study the single photon scattering enabled by another system, i.e., the second-order nonlinearity, which can act as a single photon switch to control the single photon transmission and reflection inside the one-dimensional coupled resonator waveguide. The transmission rate is calculated to analyze the single-photon scattering properties. In addition, a more complicated second-order nonlinear form, i.e., three-wave mixing, is discussed to control single photon transmission inside the one-dimensional coupled resonator waveguide.
We consider the coherent propagation of nnn photons in a one-dimensional coupled-resonator waveguide for n=2,3,4….n=2,3,4\dots{}.n=2,3,4…. The scattering by a three-level atom, which resides in one of the resonators of the waveguide and gives rise to only two-photon transitions, results in a perfect quantum switch that allows either total reflection or total transmission. This is to be contrasted to the case of a single photon inside a one-dimensional resonant waveguide scattered by a two-level system with single-photon transitions where only total reflection can be accomplished; viz. the system behaves only as a perfect mirror but not as an ideal, transparent medium.
We analyze the coherent transport of a single photon, which propagates in a one-dimensional coupled-resonator waveguide and is scattered by a controllable two-level system located inside one of the resonators of this waveguide. Our approach, which uses discrete coordinates, unifies low and high energy effective theories for single-photon scattering. We show that the controllable two-level system can behave as a quantum switch for the coherent transport of a single photon. This study may inspire new electro-optical single-photon quantum devices. We also suggest an experimental setup based on superconducting transmission line resonators and qubits.
We investigate controllable single-photon transport in a one-dimensional coupled-resonator waveguide coupled to two nanocavities interacting with atoms. The reflection and transmission coefficients for a single photon propagating in such a system are deduced by using the discrete coordinates approach. The resonator–nanocavity coupling strength, atom–nanocavity coupling coefficient, and the detuning between the incident photon and the atom, respectively, which affect the transport properties of the single photon, are analyzed. It is found that some useful information, such as the atom–nanocavity coupling strength, can be extracted from the single-photon transmission spectrum under proper parameter settings. We also study how the coupling between two nanocavities affects the single-photon transmission property.
We theoretically investigate coherent controlling single photon transport in one-dimensional waveguide coupled to a giant atom interacting with a resonator. The giant atom is considered as a Λ-type system. One transition of the atom couples to the waveguide and the other one is driven by the resonator. Single photon scattering amplitudes are calculated for three kinds of coupling schematics, respectively. Both the analytical and numerical results show that single photon scattering properties can be manipulated by adjusting the size of the giant atom, the coupling strengths of the waveguide-resonator and resonator-giant atom. Specifically, the transmission spectra exhibit two Rabi-splitting dips and the locations of the dips are strongly dependent on the size of the giant atom (GA). It also shows that the resonant single photon can be tuned from being transmitted to being reflected by controlling the coupling strength. Our results may find applications in designing quantum devices based on giant atom at single-photon level.
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We have investigated the single-photon transport property in a T-shaped coupled-resonant waveguide (CRW), which consists of an infinite CRW and a semi-infinite CRW, coupled to a cascaded three-level emitter. A c-mode cavity field is introduced to drive the one transition of the cascaded three-level system. Two cases that a single photon is incident from the infinite CRW and semi-infinite CRW are considered, respectively. We obtain the transmission, reflection and transfer amplitudes analytically and our results show that the transmission, reflection and transfer rates can be controlled by adjusting the detuning and coupling strengths between the c-mode cavity field and one transition of the three-level system. Our study provides a full quantum control scheme of single-photon transport properties in a T-shaped waveguide.