Fast control of topological vortex formation in BEC by counter-diabatic driving
arXiv:1507.03052 · doi:10.1103/PhysRevA.93.013626
Abstract
Topological vortex formation has been known as the simplest method for vortex formation in BEC of alkali atoms. This scheme requires inversion of the bias magnetic field along the axis of the condensate, which leads to atom loss when the bias field crosses zero. In this Letter, we propose a scheme with which the atom loss is greatly suppressed by adding counter-diabatic magnetic field. A naive counter-diabatic field violates the Maxwell equations and we need to introduce an approximation to make it physically feasible. The resulting field requires an extra currents, which is experimentally challenging. Finally we solve this problem by applying a gauge transformation so that the counter-diabatic field is generated by controlling the original trap field with the additional control of the bias field.
5 pages, 6 figures
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Cited by in corpus (6)
- Hamiltonian engineering for adiabatic quantum computation: Lessons from shortcuts to adiabaticity
- Shortcuts to adiabaticity with general two-level non-Hermitian systems
- Counter-diabatic vortex pump in spinor Bose-Einstein condensates
- Counterdiabatic Formalism of Shortcuts to Adiabaticity
- Quantum knots in Bose-Einstein condensates created by counterdiabatic control
- Optimal control of population transfer in multi-level systems by dynamical quantum geometric tensor