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Journal of Modern Optics

Coherent control of single-photon scattering in a T-shaped waveguide by a single photon

Mu-Tian Cheng, Yan‐Yan Song, Xiao-San Ma

Published Nov 5, 2015• 7 citations
Publisher

Abstract

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.

DOI
10.1080/09500340.2015.1107651

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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.
We study the transport properties of a single photon scattered by a two-level system (TLS) in a T-shaped waveguide, which is made of two coupled-resonator waveguides (CRWs)- an infinite CRW and a semi-infinite CRW. The spontaneous emission of the TLS directs single photons from one CRW to the other. Although the transfer rate is different for the wave incident from different CRWs, due to the boundary breaking the translational symmetry, the boundary can enhance the transfer rate found in Phys. Rev. Lett. 111, 103604 (2013) and Phys. Rev. A 89, 013805 (2014), as the transfer rate could be unity for the wave incident from the semi-infinite CRW.
We study controllable single-photon transport in a one-dimensional waveguide with a nonlinear dispersion relation coupled to a three-level emitter in a cascade configuration. An extra cavity field is introduced to drive one of the level transitions of the emitter. In the resonance case, when the extra cavity does not contain photons, the input single photon will be reflected; when the cavity contains one photon, the full transmission of the input single photon can be obtained. In the off-resonance case, the single-photon transport can also be controlled by the parameters of the cavity. Therefore, we show that single-photon transport can be controlled by an extra cavity field.
We study the transport of a single photon in two coupled one-dimensional semi-infinite coupled-resonator waveguides (CRWs), in which both end sides are coupled to a dissipative cavity. We demonstrate that a single photon can transfer from one semi-infinite CRW to the other nonreciprocally. Based on such nonreciprocity, we further construct a three-port single-photon circulator by a T-shaped waveguide, in which three semi-infinite CRWs are pairwise mutually coupled to each other. The single-photon nonreciprocal transport is induced by the breaking of the time-reversal symmetry and the optimal conditions for these phenomena are obtained analytically. The CRWs with broken time-reversal symmetry will open up a kind of quantum device with versatile applications in quantum networks.
We propose a new model of a T-shaped quantum router composed of two InGaAs quantum dots and two coupled-cavity waveguides, where the quantum dots are embedded in an infinite coupled-cavity waveguide that serves as an incoming route, with one of the dots being placed at the junction. Based on the discrete scattering equations, we theoretically discuss the controllable transport behavior of a single photon in a hybrid system with one input and two outputs. The results show that the reflection, transmission, and transfer rates can be successfully adjusted by various parameters such as the transition energy of the quantum dots, the momentum of the incident photons, the coupling strength between the quantum dots and the waveguides, and detuning. The validity and control of the reflection, transmission, and transfer rates of the single photons in the T-shaped quantum router make it possible to design various quantum devices.
Single-photon scattering properties in a coupled-resonator waveguide (CRW) coupled to a nanocavity embedded with a two-level system are investigated theoretically. Two cases are considered: when the nanocavity is locally coupled to one resonator and when it is nonlocally coupled to two resonators of the CRW. The transmission and reflection amplitudes are obtained for the two cases, respectively. The results show that the position of perfect transmission remains unchanged, while the position of perfect reflection is shifted due to the nonlocal coupling. An asymmetric Fano resonance appears in the transmission spectrum and can be controlled by adjusting the coupling strengths in the nonlocal coupling case. The effects of the coupling strengths and dissipation on the transport properties are also analyzed for the two cases.