Controlling single-photon transport with three-level quantum dots in photonic crystals

Cong-Hua Yan, W. Z. Jia, Lian-Fu Wei

We investigate how to control single-photon transport along the photonic crystal waveguide with the recent experimentally demonstrated artificial atoms [i.e., $\ensuremath{\Lambda}$-type quantum dots (QDs)] [S. G. Carter et al., Nat. Photon. 7, 329 (2013)] in an all-optical way. Adopting full quantum theory in real space, we analytically calculate the transport coefficients of single photons scattered by a $\ensuremath{\Lambda}$-type QD embedded in single- and two-mode photonic crystal cavities (PCCs), respectively. Our numerical results clearly show that the photonic transmission properties can be exactly manipulated by adjusting the coupling strengths of waveguide-cavity and QD-cavity interactions. Specifically, for the PCC with two degenerate orthogonal polarization modes coupled to a $\ensuremath{\Lambda}$-type QD with two degenerate ground states, we find that the photonic transmission spectra show three Rabi-splitting dips and the present system could serve as single-photon polarization beam splitters. The feasibility of our proposal with the current photonic crystal technique is also discussed.

Dirk Englund, Ilya Fushman, Andrei Faraon +1 more

Jelena Vuckovic A, Dirk Englund, Andrei Faraon +2 more

Yaqin Luo

We investigate the single photon scattering in one-mode waveguide coupled to a cavity embedded with a quantum dot by full quantum mechanical approach.The quantum dot is modeled as a cascaded three-level system.The single-photon transmission and reflection amplitudes are obtained by real-space method.It is shown that the single photon transport properties can be controlled by adjusting the intensity and frequency of classic field.

Xinxin Jiang, Wen‐Xue Cui, Shi Hu +2 more

We propose a scheme to implement a three-qubit controlled phase gate with one control qubit and two target qubits using quantum dots (QDs) in two coupled photonic crystal (PC) cavities A and B. In the scheme, three QDs are embedded in two coupled photonic crystal cavities and the transitions between the levels are only coupled to the cavity modes without being driven by the classical laser fields. We investigate the dynamics of the system consisting of resonant and off-resonant couplings between the cavity modes and QDs and solve the time-dependent Schrodinger equation analytically. The results show that a three-qubit controlled phase gate can be directly implemented using one operational step, by exchanging a single photon between the PC cavities A and B. This scheme greatly simplifies the gate operation in experiments.

Kazuaki Sakoda