Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving

Abstract

Shortcut to adiabaticity in various quantum systems has attracted much attention with the wide applications in quantum information processing and quantum control. In this paper, we concentrate on stimulated Raman shortcut-to-adiabatic passage in quantum three-level systems. To implement counter-diabatic driving but without additional coupling, we first reduce the quantum three-level systems to effective two-level problems at large intermediate-level detuning, or on resonance, apply counter-diabatic driving along with the unitary transformation, and eventually modify the pump and Stokes pulses for achieving fast and high-fidelity population transfer. The required laser intensity and stability against parameter variation are further discussed, to demonstrate the advantage of shortcuts to adiabaticity.

8 pages, 6 figures, relevant to the experimental results in Nat. Commun. 7, 12479 (2016)

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Cited by in corpus (8)

• Fast quantum state engineering via universal SU(2) transformation
• Hamiltonian design to prepare arbitrary states of four-level systems
• Robust stimulated Raman exact passage using shaped pulses
• Performance of superadiabatic stimulated Raman adiabatic passage in the presence of dissipation and Ornstein-Uhlenbeck dephasing
• Fast-forward scaling of atom-molecule conversion in Bose-Einstein condensates
• Fast and robust creation of an arbitrary single qubit state by nonadiabatic shortcut pulses in a three-level system
• Superadiabatic driving of a three-level quantum system
• Robust population transfer of spin states by geometric formalism