Inverse engineering for fast transport and spin control of spin-orbit-coupled Bose-Einstein condensates in moving harmonic traps

Abstract

We investigate fast transport and spin manipulation of tunable spin-orbit-coupled Bose-Einstein condensates in a moving harmonic trap. Motivated by the concept of "shortcuts to adiabaticity", we design inversely the time-dependent trap position and spin-orbit coupling strength. By choosing appropriate boundary conditions we obtain fast transport and spin flip simultaneously. The non-adiabatic transport and relevant spin dynamics are illustrated with numerical examples, and compared with the adiabatic transport with constant spin-orbit-coupling strength and velocity. Moreover, the influence of nonlinearity induced by interatomic interaction is discussed in terms of the Gross-Pitaevskii approach, showing the robustness of the proposed protocols. With the state-of-the-art experiments, such inverse engineering technique paves the way for coherent control of spin-orbit-coupled Bose-Einstein condensates in harmonic traps.

8 pages, 6 figures

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• Shortcuts to adiabaticity in superconducting circuits for fast multi-partite state generation
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Shortcuts to Adiabaticity for Fast Qubit Readout in Circuit Quantum Electrodynamics
• Fast electron spin flips via strong subcycle electric excitation
• Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
• Dynamical Zeeman resonance in spin-orbit-coupled spin-1 Bose gases
• Enhanced strong interaction effect in synthetic spin-orbit coupling with mixed spin symmetry