Shortcut to adiabaticity for an interacting Bose-Einstein condensate

By Jean-François Schaff, Xiaohong Song, P. Capuzzi, P. Vignolo, G. Labeyrie. 2010

153 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e240f967e57ebdc9ce7f53a83dce6a7f8eb0a80a

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Shortcuts to adiabaticity: Concepts, methods, and applications (2019, methodology): “Expansions using invariant-based engineering were first implemented with ultracold atoms in a pioneering experiment on STA techniques by Schaff et al. (2011a, 2010).”
Classical and Quantum Shortcuts to Adiabaticity for Scale-Invariant Driving (2014, background): “By doing so, we have shown that it is possible to perform a fast counterdiabatic decompression (compression) of an interacting Bose-Einstein condensate in which the final state is free from excitations, providing a new route to the previous use of shortcuts to adiabaticity in the laboratory [88].”
Shortcuts to Adiabaticity (2012, methodology): “While magnetic traps allow for an independent control of longitudinal and radial frequencies (Schaff et al., 2010, 2011a,b), this is not the case for a simple laser trap.”