Efficient broadband frequency conversion via shortcut to adiabaticity

Fuente: arXiv
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Autori principali: Paul, Koushik, Kong, Qian, Chen, Xi
Natura: Preprint
Pubblicazione: 2022
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author Paul, Koushik
Kong, Qian
Chen, Xi
author_facet Paul, Koushik
Kong, Qian
Chen, Xi
contents The method of adiabatic frequency conversion, in analogy with the 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 we present a comparative study of efficient frequency mixing using various techniques of shortcuts to adiabaticity (STA) such as counter-diabatic driving and invariant-based inverse engineering. We show 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 is significantly decreases beyond the adiabatic limit. Our 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, we show 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.
format Preprint
id arxiv_https___arxiv_org_abs_2207_01349
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Efficient broadband frequency conversion via shortcut to adiabaticity
Paul, Koushik
Kong, Qian
Chen, Xi
Quantum Physics
Optics
The method of adiabatic frequency conversion, in analogy with the 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 we present a comparative study of efficient frequency mixing using various techniques of shortcuts to adiabaticity (STA) such as counter-diabatic driving and invariant-based inverse engineering. We show 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 is significantly decreases beyond the adiabatic limit. Our 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, we show 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.
title Efficient broadband frequency conversion via shortcut to adiabaticity
topic Quantum Physics
Optics
url https://arxiv.org/abs/2207.01349