摘要: The kilo-Hertz gravitational waves radiated by the neutron star merger
remnants carry rich information about the physics of high-density nuclear
matter states, and many important astrophysical phenomena such as gamma-ray
bursts and black hole formation. Current laser interferometer gravitational
wave detectors, such as LIGO, VIRGO, and KAGRA have limited signal response at
the kilo-Hertz band, thereby unable to capture these important physical
phenomena. This work proposes an alternative protocol for boosting the
sensitivity of the gravitational wave detectors at high frequency by
implementing an optomechanical quantum amplifier. With the auxiliary quantum
amplifier, this design has the feature of Parity-Time (PT) symmetry so that the
detection band will be significantly broadened within the kilo-Hertz range. In
this work, we carefully analyze the quantum-noise-limited sensitivity and the
dynamical stability of this design. Based on our protocol, our result shows
that the quantum-noise-limited sensitivity will be improved by one order of
magnitude around 3kHz, which indicates the potential of our design for a future
search of neutron star merger signals.