Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
arXiv:1401.1352 · doi:10.1103/PhysRevA.89.023627
Abstract
Combining invariant-based inverse engineering, perturbation theory, and Optimal Control Theory, we design fast, transitionless expansions of cold neutral atoms or ions in Gaussian anharmonic traps. Bounding the possible trap frequencies and using a "bang-singular-bang" control we find fast processes for a continuum of durations up to a minimum time that corresponds to a purely bang-bang (stepwise frequency constant) control.
7 pages, 6 figures
References in corpus (8)
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Shortcut to adiabaticity for an interacting Bose-Einstein condensate
- Fast optimal transition between two equilibrium states
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Fast ground-state cooling of mechanical resonator with time-dependent optical cavities
- Optimization of segmented linear Paul traps and transport of stored particles
- Fast generation of spin-squeezed states in bosonic Josephson junctions
- Cooling a charged mechanical resonator with time-dependent bias gate voltages
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