Fast excitation fluctuation transfer between two membranes based on transitionless quantum driving

Abstract

Abstract In this paper, we introduce a feasible scheme for implementing excitation fluctuation transfer between two membranes in a cavity optomechanical system. The transitionless tracking algorithm allows the system to evolve along a single path, and the process is sped up. Numerical simulations are shown to indicate that, compared with the schemes based on conventional adiabatic passage and Lewis–Riesenfeld invariants, the proposed scheme not only shortens the evolution time but also significantly decreases the negative effects of dissipation arising from membrane damping and cavity decay within specified bounds. This work provides a new idea for quantum state transfer between two membranes.