Low-loss nonlinear polaritonics

Abstract

We propose large low-loss cross-phase modulation between two coupled surface polaritons propagating through a double electromagnetically-induced transparency medium situated close to a negative-index metamaterial. In particular a mutual $\pi$ phase shift is attainable between the two pulses at the single photon level.Comment: 6 pages, 6 figure

Quantum Informatics With Plasmonic Meta-Materials

“…8. As in previous works [28,36,37] we derive nonlinear coupled equations for two slowly propagating LLSP fields by taking into account spatial confinement of interaction with resonant atomic systems in the spirit of [7], and we get the Kerr nonlinear coefficient of field b due to cross phase modulation of field a as:…”

“…Whereas the analysis presented here pertains to the solid system Pr:YSiO, the low loss SP and their high confinement together with double EIT scheme is also applicable to gaseous system like Rb 87 with appropriate choice of parameters [36].…”

“…E l (l = a, b) is the electric field of lth LLSP pulse which is given previously, and ... denotes here averaging over the orientation of the atomic dipole moments. The self phase modulation (SPM) of field b, χ b , is ignored in the above equation since this term can be compensated for interferometrically as discussed in [36], and references cited therein. The corresponding phase shift experienced by single quantum SP field b due to its nonlinear interaction with other single quantum LLSP pulse a as it traverses a medium of length L is given (see also [35][36][37] For the 5LA in Pr:YSiO we assume ideal EIT conditions which take place for small enough thickness of the atomic layer z 0 ≈ 1/k p j ≈ 1/k c ≈ 1µm, the transition wavelenght is 606nm [19,32,33] the linewidth is about MHz and the detuning ∆ = 4.5 MHz, Rabi frequency of control field Ω c = 1.5 MHz.…”

Waveguide characteristics for arbitrary permittivity and permeability including for metamaterials

“…17 Their work involves achieving large cross-phase modulation with low intensity fields in a metamaterial-dielectric single interface waveguide doped with EIT capable atoms along the interface, which has the prospect of attaining strong optical nonlinearity at single photon level, useful for optical switching as well as optical quantum information processing. The single interface of the waveguide provides strong confinement of the field in the direction normal to the interface and the EIT capable atoms can further confine the field in the propagation direction as well as providing Kerr nonlinearity for cross-phase modulation.…”

“…In considering losses in a metamaterial we have chosen a different model for the permeability than was used in previous works. 12,16,17 We use a Lorenz-like model derived by Penciu et al, 18 whereas previously the Drude model was used. This model better reflects the physical behaviour of a metamaterial at optical frequencies.…”