Dark-state polaritons for multicomponent and stationary light fields

Abstract

We present a general scheme to determine the loss-free adiabatic eigensolutions (dark-state polaritons) of the interaction of multiple probe laser beams with a coherently driven atomic ensemble under conditions of electromagnetically induced transparency. To this end we generalize the Morris-Shore transformation to linearized Heisenberg-Langevin equations describing the coupled light-matter system in the weak excitation limit. For the simple lambda-type coupling scheme the generalized Morris-Shore transformation reproduces the dark-state polariton solutions of slow light. Here we treat a closed-loop dual-V scheme wherein two counter-propagating control fields generate a quasi stationary pattern of two counter-propagating probe fields -so-called stationary light. We show that contrary to previous predictions, there exists a single unique dark-state polariton; it obeys a simple propagation equation.

Quantum transport of strongly interacting photons in a one-dimensional nonlinear waveguide

“…In practice, these higher orders are destroyed due to atomic motion and collisions as atoms travel distances greater than an optical wavelength during the typical time of the experiment [37]. Alternatively, one can use dual-V atomic systems that do not require this approximation [38]. In the weak excitation limit (σ aa 1), the population in the excited state |b can be neglected, σ bb ≈ 0.…”

“…For example, the intensity of the forward-going polariton is (38) where |j denotes the component of the total wave function |ψ(t) containing j photons. The first and second terms on the right thus correspond to the one-and two-photon contributions to the intensity.…”

Slow polaritons with orbital angular momentum in atomic gases

“…During the last several years there has been a great deal of interest in slow [1][2][3][4][5], stored [6][7][8][9][10][11][12][13][14][15][16][17][18] and stationary [19][20][21][22][23][24][25] light. Light can be slowed down by seven orders of magnitude to velocities of several of tens of meters per second [1] due to the electromagnetically induced transparency (EIT) [26][27][28][29][30].…”

Quantum coherence and correlations of optical radiation by atomic ensembles interacting with a two-level atom in a microwave cavity

“…17 (c). The degeneracy of intermediate levels allows us to employ a simple multilevel Morris-Shore transformation [62][63][64] in the form B = (B − + B + )/ √ 2 and B ′ = (B − − B + )/ √ 2. Geometrically, this folds the diamond scheme into a deltatype cyclic transition as shown in Fig.…”