Abstract
We investigate the quantum state transfer between two membranes in coupled cavities for the case before the cavity fields arrive at the steady state. Three different schemes are presented. The first one is based on the double swapping, i.e., one of the two collective cavity modes interacts with one membrane first and later with the other membrane. The second scheme is to use the mechanical dark mode, which decouples from the cavity fields and evolves adiabatically from one mechanical mode to the other. The third scheme depends on the interactions of the two oscillators with the same continuous, collective cavity mode. In comparison, the first scheme is more robust to the mechanical thermal noise, the second one depresses the cavity dissipation, and the third one merges the merits of the two former schemes.
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