Abstract
Shortcuts to adiabaticity have been put forward for accelerating slow adiabatic passages in various quantum systems with tremendous applications for performing quantum information processing tasks. In this paper, we propose a hybrid protocol to achieve stimulated Raman exact passage (STIREP) by combining invariant-based inverse engineering, optimal control, and composite pulse approaches. We first derive the general solution and the corresponding pulse shapes by invariant-based inverse engineering. Counterintuitive and optimal (intuitive) pulse sequences are formulated in this context and incorporated into composite sequences. Such composite STIREP not only features robustness against the fluctuation of laser intensity, but also reduces the operation time and energy cost.
Highlights
Coherent manipulation and preparation for quantum states with high fidelity are requisite with many applications ranging from quantum information processing to control of chemical interaction [1,2,3,4,5]
We find that the invariant-based composite stimulated Raman exact passage (STIREP) takes less and less time compared to composite stimulated Raman adiabatic passage (STIRAP) for more and more sequences
The composite STIRAP derived in [17] implements a high order fidelity, which is robust to variation of systematic errors, with universal phases, i.e. independent of the specific pulse shape, delay, and area
Summary
Coherent manipulation and preparation for quantum states with high fidelity are requisite with many applications ranging from quantum information processing to control of chemical interaction [1,2,3,4,5]. Motivated by the current experimental demonstration of composite Stimulated Raman adiabatic passage in a rare-earth doped solid [33], we hybridize the composite method with pulses designed by invariant-based inverse engineering, including exact counterintuitive or optimal (intuitive) sequences, to derive an exact, fast and robust technique. (b-d) The Rabi frequencies Ωp,s present the pump (dash-dotted blue line) and Stokes (solid red line) pulses for different composite schemes of three pulse pairs: Gaussian, area-optimal and linear multimode pulses. The latter two sequences define examples of composite intuitive and counterintuitive STIREP, respectively.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
