Kong Qian, Ying Huimin, Chen Xi
International Center of Quantum Artificial Intelligence for Science and Technology (QuArtist) and Department of Physics, Shanghai University, Shanghai 200444, China.
Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain.
Entropy (Basel). 2020 Jun 17;22(6):673. doi: 10.3390/e22060673.
In recent years, the concept of "shortcuts to adiabaticity" has been originally proposed to speed up sufficiently slow adiabatic process in various quantum systems without final excitation. Based on the analogy between classical optics and quantum mechanics, we present a study on fast non-adiabatic compression of optical beam propagation in nonlinear gradient refractive-index media by using shortcuts to adiabaticity. We first apply the variational approximation method in nonlinear optics to derive the auxiliary equation for connecting the beam width with the refractive index of the medium. Then, the gradient refractive index is inversely designed through the perfect compression of beam width with the appropriate boundary conditions. Finally, the comparison with conventional adiabatic compression is made, showing the advantage of our shortcuts.
近年来，“绝热捷径”的概念最初是为了在各种无最终激发的量子系统中加速足够缓慢的绝热过程而提出的。基于经典光学与量子力学之间的类比，我们利用绝热捷径对非线性梯度折射率介质中光束传播的快速非绝热压缩进行了研究。我们首先应用非线性光学中的变分近似方法，推导出将光束宽度与介质折射率联系起来的辅助方程。然后，通过在适当边界条件下对光束宽度进行完美压缩来反向设计梯度折射率。最后，与传统绝热压缩进行了比较，展示了我们的绝热捷径的优势。
