Shortcut to adiabaticity for an interacting Bose-Einstein condensate
arXiv:1009.5868 · doi:10.1209/0295-5075/93/23001
Abstract
We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling invariance properties of the time-dependent Gross-Pitaevskii equation, we exhibit a solution yielding a final state identical to that obtained through a perfectly adiabatic transformation, in a much shorter time. Experimentally, we perform a large trap decompression and displacement within a time comparable to the final radial trapping period. By simultaneously monitoring the BEC and the non-condensed fraction, we demonstrate that our specific trap trajectory is valid both for a quantum interacting many-body system and a classical ensemble of non-interacting particles.
5 pages, 4 figures
References in corpus (8)
- Shortcut to adiabatic passage in two and three level atoms
- A Quantum Adiabatic Algorithm for Factorization and Its Experimental Implementation
- Fast optimal transition between two equilibrium states
- Quantum Adiabatic Brachistochrone
- Optimal quantum control of Bose Einstein condensates in magnetic microtraps
- Optimal transport of ultracold atoms in the non-adiabatic regime
- Optimization of segmented linear Paul traps and transport of stored particles
- Optimal control of atom transport for quantum gates in optical lattices