Fast Adiabatic Control of an Optomechanical Cavity

NICOLÁS F. DEL GROSSO; FERNANDO C LOMBARDO; FRANCISCO D MAZZITELLI; PAULA I. VILLAR

ENTROPY

MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI

Lugar: Basel; Año: 2022 vol. 25 p. 1 - 17

1099-4300

The development of quantum technologies present important challenges such as the needfor 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 adiabaticevolution in finite time. In this paper, we present a shortcut to adiabaticity for the control of anoptomechanical cavity with two moving mirrors. Given reference trajectories for the mirrors, we findanalytical expressions that give us effective trajectories which implement an STA for the quantumfield inside the cavity. We then solve these equations numerically for different reference protocols,such as expansions, contractions and rigid motions, thus confirming the successful implementationof the STA and finding some general features of these effective trajectories.