Shortcut to adiabatic control of soliton matter waves by tunable interaction

Abstract

We propose a method for shortcut to adiabatic control of soliton matter waves in harmonic traps. The tunable interaction controlled by Feshbach resonance is inversely designed to achieve fast compression of soliton matter waves but within a short time, as compared to the conventional adiabatic compression. These results pave the way to control the nonlinear dynamics for matter waves and optical solitons by using shortcuts to adiabaticity.

8 pages, 5 figures, accepted for publication in Sci. Rep

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• Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
• Time-optimal variational control of bright matter-wave soliton
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• Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases
• Shortcuts to Adiabatic Soliton Compression in Active Nonlinear Kerr Media
• Nonlinear compression of temporal solitons in an optical waveguide via inverse engineering
• Shortcuts to adiabaticity for rapid soliton compression in nonlocal media