Nonlinear phenomena, optical and quantum solitons

Nonlinear phenomena, optical and quantum solitons.

Research in the theory of solitons and its applications has undergone impressive development in recent years and has affected a broad range of fields, including theory of special functions, quantum integrable systems, numerical analysis, cellular automata, representations of quantum groups and discrete geometry among others. Robin K. Bullough (21 November 1929–30 August 2008) was a British math...

Quantum Phenomena in Optical

Entangled quantum nonlinear Schrödinger solitons.

Considered as a multipartite quantum system, time-multiplexed nonlinear Schrödinger solitons after collision are rigorously proved to become quantum entangled in the sense that their quadrature components of suitably selected internal modes satisfy the inseparability criterion. Clear physical insights for the origin of entanglement are given, and the required homodyne local oscillator pulse sha...

Nonlinear phenomena in optical fibers

4. Nonlinear phenomena 4.1. Second-order nonlinear phenomena 4.2. Third-order nonlinear phenomena 4.3. Stimulated Raman scattering 4.4. Stimulated Brillouin scattering 4.5. Four-wave mixing (FWM) 4.6. Self-phase modulation (SPM) 4.7. Cross phase modulation (XPM) 4.8. Theoretical description of GVD phenomenon and self-phase modulation 4.8.1. Nonlinear Schrödinger equation 4.8.2. Inclusion of the...

Quantum Theory of Optical Solitons

A quantum theory of optical solitons is developed. Two kinds of optical soliton phenomena are studied : solitons in optical fibers and self-induced transparency (SIT) solitons. Quantum effects of optical soliton propagation are investigated. Among various quantum effects examined, two of them are of particular interest : the position spreading effect and the squeezing effect. The former places ...