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Physica Scripta

Cascaded frequency conversion based on stimulated Raman shortcuts-to-adiabatic passage

Yuewei Xiao, Weixian Yu, Mingjie Lin, Cui Yangeng, Ziquan Zhou, Changshui Chen

Published Aug 14, 2026• 0 citations
Publisher

Abstract

Abstract Cascaded frequency conversion is widely used to generate laser radiation at various wavelengths. Adiabatic schemes have been introduced into this field. In this paper, we propose a counter-diabatic driving scheme based on stimulated Raman shortcuts-to-adiabatic passage (STIRSAP), which does not rely on the mixing-angle approximation and remains effective even under phase mismatch conditions. Numerical simulations indicate that the proposed scheme maintains high conversion efficiency over a substantially broader parameter range than the conventional STIRSAP scheme.

DOI
10.1088/1402-4896/ae9a16

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Shortcuts to adiabaticity (STA) are channels that can fast prepare a desired quantum state with high fidelity which obtains more and more research in the atomic domain. Based on stimulated Raman shortcut-to-adiabatic passage (STIRSAP), we propose a frequency conversion technique which works through a non-adiabatic route and produces the same energy distribution as in adiabatic evolution. Numerical simulation results show that the conversion is efficient and robust. Our results reveal a novel scenario for frequency conversion and relax the strict limitations on system parameters in adiabatic frequency conversion.
In the field of nonlinear frequency conversion, the cascaded frequency conversion scheme is an effective means to obtain new wavelengths. In this paper, we demonstrate efficient frequency conversion through three cascaded three-wave mixing processes based on Stark-chirped rapid adiabatic passage, which are different from previous cascaded wavelength conversion processes based on stimulated Raman adiabatic passage. Further, by analyzing the relevant parameters in the three-process cascaded frequency conversion models we have established, we find that the new scheme increases the conversion range and has lower restrictions on the conversion conditions while maintaining extremely low intermediate frequency intensity. These advantages allow our work to be applied to the acquisition of a mid-infrared or visible laser.
A cascaded sum frequency generation (SFG) conversion scheme based on the stimulated Raman adiabatic passage (STIRAP) technique is proposed for generating an ultraviolet laser radiation at 228 nm. The conversion involves two simultaneous SFG processes, in which the signal laser radiation is converted to ultraviolet laser radiation through a negligible intermediate laser radiation. Dark state expressions and adiabatic conditions are given. Numerical simulations demonstrate the efficient conversion processes in a nonlinear LaBGeO 5 (LBGO) crystal, and the effects of the coupling modulation function, pump laser intensity, and temperature on the quantum conversion efficiency are investigated. Tunable output of ultraviolet laser radiation in the 210–250 nm range is achieved by varying the signal or pump laser radiation wavelength while maintaining other input parameters. The large amount of optical data obtained in this work will contribute to the generation of deep ultraviolet laser sources based on nonlinear cascaded frequency conversion.
We demonstrate that the frequency conversion in the cascaded processes can be mapped uniquely to an associated three-wave mixing processes in adiabatic evolution. After solving the coupling wave equations of three-wave mixing processes, we immediately find the solutions of the corresponding cascaded coupled equations. Furthermore, we introduce a rather simple model, which displays the main features of the optical stimulated Raman adiabatic passage (STIRAP) but allows for analytic evaluation of all quantities. It performs two simultaneous three-wave mixing processes efficiently and without significant generation of an intermediate frequency. At last, we consider in detail the effects of the phase mismatch to the optical STIRAP efficiency, which show that the analytic bounds are seen to describe the transfer region very accurately.
Abstract In recent years, a series of adiabatic passage techniques for atomic systems have been introduced into the field of nonlinear optics. We propose a theoretical model of the fourth-order three-process cascaded frequency conversion technique based on fractional stimulated Raman adiabatic passage (FSTIRAP). Building upon the STIRAP technique, the FSTIRAP technique splits the original third pump laser into two separate pump lasers, each subjected to Gaussian modulation. This achieves the simultaneous output of the first idler laser and the second idler laser with tunable output ratios at the end of the crystal, while ensuring the complete conversion of the signal laser. Numerical simulation results demonstrate that the FSTIRAP technique enables highly efficient frequency conversion, with the total conversion efficiency showing robustness across a wide range of pump laser intensities, coupling delay parameters, and crystal temperatures. Additionally, the output ratio of the first idler laser to the second idler laser can be controlled by independently tuning the delay parameter or the crystal temperature.