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Journal of Modern Optics

The optical solitons of QE1 are the BEC of QE14: has the quantum soliton arrived?Special Foundation Lecture: a personal view 14th National Quantum Electronics and Photonics Conference, Owens Park, University of Manchester, 8 September 1999

R. Bullough

Published Mar 20, 2001• 3 citations
Publisher
DOI
10.1080/0950034001002113

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I (try to) review some of my work in theoretical quantum optics done over some 45 years. Highlights include discovery of ‚optical solitons‘ as solutions to the nonlinear Maxwell-Bloch (MB) systems of equations as reported at the 1st National QE Conference, also at Owens Park, Manchester, in 1973. Bose-Einstein condensation (BEC) in magnetic traps at temperatures T ∼ 10−9K achieved in 1995 is described by forms of the quantum nonlinear Schrödinger (NLS) equation closely related to the quantized MB equations. It may be possible to see quantum soliton solutions of the quantum attractive NLS equation in one-dimensional (d = 1) magnetic traps holding the Bose condensed metal vapour 7Li. More generally such d = 1 quantum solitons may be significant to modern long-distance optical fibre communication, and perhaps to ‚quantum information‘.
The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers.This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose–Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.