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Bright matter-wave soliton collisions at narrow barriers (2012)
Journal Article
Helm, J., Billam, T., & Gardiner, S. (2012). Bright matter-wave soliton collisions at narrow barriers. Physical Review A, 85(5), Article 053621. https://doi.org/10.1103/physreva.85.053621

We study fast-moving bright solitons in the focusing nonlinear Schrödinger equation perturbed by a narrow Gaussian potential barrier. In particular, we present a general and comprehensive analysis of the case where two fast-moving bright solitons col... Read More about Bright matter-wave soliton collisions at narrow barriers.

Quantum theory of bright matter-wave solitons in harmonic confinement (2012)
Journal Article
Holdaway, D., Weiss, C., & Gardiner, S. (2012). Quantum theory of bright matter-wave solitons in harmonic confinement. Physical Review A, 85(5), Article 053618. https://doi.org/10.1103/physreva.85.053618

This paper investigates bright quantum-matter-wave solitons beyond the Gross-Pitaevskii equation (GPE). As proposals for interferometry and creating nonlocal quantum superpositions have been formed, it has become necessary to investigate effects not... Read More about Quantum theory of bright matter-wave solitons in harmonic confinement.

Coherence and instability in a driven Bose–Einstein condensate: a fully dynamical number-conserving approach (2012)
Journal Article
Billam, T., & Gardiner, S. (2012). Coherence and instability in a driven Bose–Einstein condensate: a fully dynamical number-conserving approach. New Journal of Physics, 14, Article 013038. https://doi.org/10.1088/1367-2630/14/1/013038

We consider a Bose–Einstein condensate driven by periodic delta-kicks. In contrast to first-order descriptions, which predict rapid, unbounded growth of the noncondensate in resonant parameter regimes, the consistent treatment of condensate depletion... Read More about Coherence and instability in a driven Bose–Einstein condensate: a fully dynamical number-conserving approach.

Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps (2012)
Journal Article
Billam, T., Wrathmall, S., & Gardiner, S. (2012). Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps. Physical Review A, 85(1), Article 013627. https://doi.org/10.1103/physreva.85.013627

We consider the ground state of an attractively interacting atomic Bose-Einstein condensate in a prolate, cylindrically symmetric harmonic trap. If a true quasi-one-dimensional limit is realized, then for sufficiently weak axial trapping this ground... Read More about Variational determination of approximate bright matter-wave soliton solutions in anisotropic traps.