Efficient Broadband Frequency Conversion via Shortcuts to Adiabaticity

The method of adiabatic frequency conversion, in analogy with a two-level atomic system, has been put forward recently and verified experimentally to achieve robust frequency mixing processes such as sum and difference frequency generation. Here a comparative study of efficient frequency mixing using various techniques of shortcuts to adiabaticity such as counter-diabatic driving and invariant-based inverse engineering is presented. It is shown here that it is possible to perform sum frequency generation by properly designing the poling structure of a periodically poled crystal and the coupling between the input lights and the crystal. The required crystal length for frequency conversion significantly decreases beyond the adiabatic limit. This approach significantly improves the robustness of the process against the variation in temperature as well as the signal frequency. By introducing a single parameter control technique with constant coupling and combining with the inverse engineering, perturbation theory, and optimal control, it is shown that the phase mismatch can be further optimized with respect to the fluctuations of input wavelength and crystal temperature that results into a novel experimentally realizable mixing scheme.This work had been financially supported by EU FET Open Grant EPIQUS (899368), QUANTEK project (KK-2021/00070), the Basque Government through Grant No. IT1470-22, the project grant PID2021-126273NB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe” and “ERDF Invest in your Future” and NSFC (12075145). X.C. acknowledges the Ramón y Cajal program (RYC-2017-22482) and open access funding provided by UPV/EHU

Industrial Policy, Credit Financing and Corporate Inventory

As a way of government intervention in economy, industrial policy has an important impact on the decision-making behavior of enterprises.However, scholars have different views on the role of industrial policy.The article uses 33,154 A-share annual observation samples from 2000 to 2018 as the research object, examines the impact of industrial policies on corporate credit financing, and analyzes the economic consequences of industrial policies affecting credit financing from the perspective of inventory. The research conclusion shows that industrial policies can have an important impact on corporate credit financing. Compared with enterprises that are not supported by industrial policies, enterprises that are supported by industrial policies receive more credit financing; the convenience that industrial policies bring to corporate credit financing can encourage enterprises to expand their production scale, which in turn leads to a backlog of corporate inventories. The article expands the literature system of government macro-control that affects corporate behavior, and helps academics and practitioners to better understand the transmission mechanism of industrial policies affecting the real economy. Keywords: Industrial Policy; Credit Financing; Inventory; Production DOI: 10.7176/EJBM/12-17-04 Publication date:June 30th 202