Splitting bright matter-wave solitons on narrow potential barriers: quantum to classical transition and applications to interferometry
arXiv:1401.7202 · doi:10.1103/PhysRevA.89.033610
Abstract
We study bright solitons in the Gross-Pitaevskii equation as they are split and recombined in a low energy system. We present new analytic results determining the general region in which a soliton may not be split on a potential barrier, and confirm these results numerically. Furthermore, we analyse the energetic regimes where quantum fluctuations in the initial center of mass position and momentum become influential on the outcome of soliton splitting and recombination events. We then use the results of this analysis to determine a parameter regime where soliton interferometry is practicable.
15 pages, 11 figures
References in corpus (15)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Fast soliton scattering by delta impurities
- Enhanced Quantum Reflection of Matter-Wave Solitons
- Soliton splitting by external delta potentials
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Bright Matter-Wave Soliton Collisions in a Harmonic Trap: Regular and Chaotic Dynamics
- Bright matter-wave soliton collisions at narrow barriers
- Realizing bright matter-wave soliton collisions with controlled relative phase
- Dynamics of matter-wave solitons in a ratchet potential
- Bright Solitary-Matter-Wave Collisions in a Harmonic Trap: Regimes of Soliton-like Behaviour
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- Scattering bright solitons: quantum versus mean-field behavior
- Quantum theory of bright matter wave solitons in harmonic confinement
- Thermodynamics of Solitonic Matter Waves in a Toroidal Trap
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