Shortcut to adiabatic population transfer in quantum three-level systems: Effective two-level problems and feasible counterdiabatic 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.

Fast long-range charge transfer in quantum dot arrays

“…However, this complementary counter-diabatic term H 1 couples the first and the third dots, and it is difficult to implement experimentally. Thus, we look for physically feasible shortcuts by introducing an appropriate unitary transformation of H = H 0 +H 1 [41], which isH = U † HU −iU †U . Consequently,H…”

“…Consequently, the modified pulses are derived asΩ 12 = Ω 2 12 + Ω 2 a ,Ω 23 = Ω 23 −φ, ϕ = arctan(Ω a /Ω 12 ). One could also choose other unitary transformation [41] or apply an alternative shortcut within dressed-state scheme [35,42] to cancel the additional interaction and even suppress the excitation of the intermediate state. Note that U(0) = U(t f ) = 1 is the necessary boundary condition in order to keep the same dynamics of the system before and after the transformation.…”

Universal speeded-up adiabatic geometric quantum computation in three-level systems via counterdiabatic driving

“…The effective Hamiltonian H eff has been researched for speeding up population transfer of STIRAP by counterdiabatic driving in Refs. [56,66,67], and the corresponding experimental realization has also been done in a cold-atom system [48]. With the aid of this effective two-level Hamiltonian, now we construct speeded-up adiabatic USQG.…”

Speeding up adiabatic population transfer in a Josephson qutrit via counter-diabatic driving

“…By applying the driving V ã , a supplementary interaction Hamiltonian H cd in the space g a e , , ñ ñ ñ {| | | }is given by [30,62] Now our concern is the V ã -induced Rabi coupling i a W between gñ | and eñ | . For the interaction Hamiltonian between the microwave pulse V ã and the CPB, it is of the form = + , which governs the dynamical evolution following the Schrödinger equation ns.…”