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.

arXiv comment8 pages, 6 figures, relevant to the experimental results in Nat. Commun. 7, 12479 (2016)

References in corpus (23)

• Quantum information with Rydberg atoms
• Shortcut to adiabatic passage in two and three level atoms
• High-fidelity quantum driving
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Robust quantum control by shaped pulse
• Speeding up adiabatic quantum state transfer by using dressed states
• Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
• Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
• Fast population transfer engineering of three-level systems
• Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
• Experimental implementation of assisted quantum adiabatic passage in a single spin
• Physically feasible three-level transitionless quantum driving with multiple Schrödinger dynamics
• Method for constructing shortcuts to adiabaticity by a substitute of counterdiabatic driving terms
• Shortcuts to adiabaticity in three-level systems using Lie transforms
• Three-level superadiabatic quantum driving
• Spatial adiabatic passage: a review of recent progress
• Non-Hermitian shortcut to stimulated Raman adiabatic passage
• Fast-Forward Assisted STIRAP
• Composite stimulated Raman adiabatic passage
• Stimulated Raman adiabatic passage in an open quantum system: Master equation approach
• Microscopic description of dissipative dynamics of a level crossing transition
• Unitary deformations of counterdiabatic driving

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