Bright solitons in ultracold atoms
arXiv:1710.05335 · doi:10.1007/s11082-017-1247-5
Abstract
We review old and recent experimental and theoretical results on bright solitons in Bose-Einstein condensates made of alkali-metal atoms and under external optical confinement. First we deduce the three-dimensional Gross-Pitaevskii equation (3D GPE) from the Dirac-Frenkel action of interacting identical bosons within a time-dependent Hartree approximation. Then we discuss the dimensional reduction of the GPE from 3D to 1D, deriving the 1D GPE and also the 1D nonpolynomial Schrödinger equation (1D NPSE). Finally, we analyze the bright solition solutions of both 1D GPE and 1D NPSE and compare these theoretical predictions with the available experimental data.
12 pages, 4 figures, tutorial talk at the VI International School and Conference on Photonics "Photonica 2017", 28 August - 1 September 2017, Belgrade, Serbia; new version: added one figure and some references, corrected typos
References in corpus (6)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Vector solitons in nearly-one-dimensional Bose-Einstein condensates
- A vortex dipole in a trapped two-dimensional Bose-Einstein condensate
- Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
- OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
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- Superfluid properties of bright solitons in a ring
- Numerical model of the Gross-Pitaevskii equation for rotating Bose-Einstein condensates using smoothed-particle hydrodynamics
- Three-dimensional analysis of vortex-lattice formation in rotating Bose-Einstein condensates using smoothed-particle hydrodynamics
- Quantum-droplet interferometry