Self-induced transparency and giant nonlinearity in doped photonic crystals

Abstract

Photonic crystals doped with resonant atoms allow for uniquely advantageous nonlinear modes of optical propagation: (a) Self-induced transparency (SIT) solitons and multi-dimensional localized "bullets" propagating at photonic band gap frequencies. These modes can exist even at ultraweak intensities (few photons) and therefore differ substantially either from solitons in Kerr-nonlinear photonic crystals or from SIT solitons in uniform media. (b) Cross-coupling between pulses exhibiting electromagnetically induced transparency (EIT) and SIT gap solitons. We show that extremely strong correlations (giant cross-phase modulation) can be formed between the two pulses. These features may find applications in high-fidelity classical and quantum optical communications.

11 pages, 7 figures, to appear in JOSA-B

References in corpus (4)

• Nonlinear Optics and Quantum Entanglement of Ultra-Slow Single Photons
• Spatiotemporally Localized Multidimensional Solitons in Self-Induced Transparency Media
• Spatiotemporally localized solitons in resonantly absorbing Bragg reflectors
• Optical Solitons in Periodic Media with Resonant and Off-Resonant Nonlinearities

Cited by in corpus (3)

• Giant nonlinearity and entanglement of single photons in photonic bandgap structures
• Compression and collisions of chirped pulses in a dense two-level medium
• Ultrashort pulses in an inhomogeneously broadened two-level medium: soliton formation and inelastic collisions