  A scheme for remote weak signal sensor is proposed in which a coupled
resonator optical waveguide~(CROW), as a transmitter, couples to a hybrid
optomechanical cavity and an observing cavity, respectively. The non-Markovian
theory is employed to study the weak force sensor by treating the CROW as a
non-Markovian reservoir of the cavity fields, and the
negative-effective-mass~(NEM) oscillator is introduced to cancel the
back-action noise. Under certain conditions, dissipationless bound states can
be formed such that weak signal can be transferred in the CROW without
dissipation. Our results show that ultrahigh sensitivity can be achieved with
the assistance of the bound states under certain parameters regime.
