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

Abstract

We investigate how to control single-photon transport along the photonic crystal waveguide with the recent experimentally demonstrated artificial atoms [i.e.,-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-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-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.

Quantum Langevin equations for optomechanical systems

“…This means that in a neighbourhood of 0 ν = we have S ( ; 4) 1 inel ν π − < and the emitted light is squeezed. This result shows that such a kind of optomechanical systems can generate non-classical light [3,7]. Note that, if light squeezing is present for certain values of the parameters, then the inequality (121) implies that the complementary quadrature is antisqueezed.…”

“…Indeed the former describes a mechanical oscillator and the latter an optical mode, corresponding to different interactions as discussed in section 2. The same choice is taken, for instance, in [1,2,7,25,36,37], but not in [5,9,10].…”

“…Optomechanical systems in the quantum regime are very important for quantum information processing and for testing fundamental issues of quantum mechanics [1][2][3][4][5][6][7][8][9][10]. Their theoretical analysis therefore calls for a first principle description.…”

“…We then translate these results into quantum Langevin equations and we show how to obtain a suitable non-Markovian generalization at this level of description. Relying on these results we can consider the description of the simplest optomechanical system, that is a moving mirror interacting with an electromagnetic mode in a cavity via radiation pressure [1,[5][6][7]25]. Again a suitable analysis of the composite system and of the monitoring of the emitted light calls for a consistent quantum description.…”

Control of single-photon transport in a one-dimensional waveguide by a single photon

“…The feasibly controllable coupling strength between the cavity and the quantum dot has been proposed in Ref. [27].…”