Quantum state engineering of spin-orbit coupled ultracold atoms in a Morse potential

Abstract

Achieving full control of a Bose-Einstein condensate can have valuable applications in metrology, quantum information processing, and quantum condensed matter physics. We propose protocols to simultaneously control the internal (related to its pseudospin-1/2) and motional (position-related) states of a spin-orbit-coupled Bose-Einstein condensate confined in a Morse potential. In the presence of synthetic spin-orbit coupling, the state transition of a noninteracting condensate can be implemented by Raman coupling and detuning terms designed by invariant-based inverse engineering. The state transfer may also be driven by tuning the direction of the spin-orbit-coupling field and modulating the magnitude of the effective synthetic magnetic field. The results can be generalized for interacting condensates by changing the time-dependent detuning to compensate for the interaction. We find that a two-level algorithm for the inverse engineering remains numerically accurate even if the entire set of possible states is considered. The proposed approach is robust against the laser-field noise and systematic device-dependent errors.

arXiv comment7 pages, 9 figures

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• Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
• Degeneracy and coherent states of the two-dimensional Morse potential
• Spin-photon interaction in a nanowire quantum dot with asymmetrical confining potential
• Quantum Transport Protected by Acceleration From Nonadiabaticity and Dissipation
• Searching strong `spin'-orbit coupled one-dimensional hole gas in strong magnetic fields