Fast adiabatic control of an optomechanical cavity
- URL: http://arxiv.org/abs/2211.04969v2
- Date: Tue, 27 Dec 2022 19:21:10 GMT
- Title: Fast adiabatic control of an optomechanical cavity
- Authors: Nicol\'as F. Del Grosso, Fernando C. Lombardo, Francisco D.
Mazzitelli, Paula I. Villar
- Abstract summary: We present a shortcut to adiabaticity for the control of an optomechanical cavity with two moving mirrors.
We find analytical expressions that give us effective trajectories which implement a STA for the quantum field inside the cavity.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The development of quantum technologies present important challenges such as
the need for fast and precise protocols for implementing quantum operations.
Shortcuts to adiabaticity (STA) 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 a 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.
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