Del Grosso Nicolás F, Lombardo Fernando C, Mazzitelli Francisco D, Villar Paula I
Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, Buenos Aires 1428, Argentina.
Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, Bariloche 8400, Argentina.
Entropy (Basel). 2022 Dec 22;25(1):18. doi: 10.3390/e25010018.
The development of quantum technologies present important challenges such as the need for fast and precise protocols for implementing quantum operations. Shortcuts to adiabaticity (STAs) are a powerful tool for achieving these goals, as they enable us to perform an exactly adiabatic evolution in finite time. In this paper, we present a shortcut to adiabaticity for the control of an optomechanical cavity with two moving mirrors. Given reference trajectories for the mirrors, we find analytical expressions that give us effective trajectories which implement an STA for the quantum field inside the cavity. We then solve these equations numerically for different reference protocols, such as expansions, contractions and rigid motions, thus confirming the successful implementation of the STA and finding some general features of these effective trajectories.
量子技术的发展带来了诸多重要挑战，比如需要快速且精确的协议来实现量子操作。绝热捷径（STAs）是实现这些目标的有力工具，因为它们能让我们在有限时间内完成精确的绝热演化。在本文中，我们提出了一种用于控制具有两个移动镜的光机械腔的绝热捷径。给定镜子的参考轨迹，我们找到了解析表达式，这些表达式给出了有效的轨迹，为腔内量子场实现了绝热捷径。然后，我们针对不同的参考协议（如膨胀、收缩和刚体运动）对这些方程进行数值求解，从而证实了绝热捷径的成功实现，并发现了这些有效轨迹的一些一般特征。
