Signal recycled laser-interferometer gravitational-wave detectors as optical springs

By A. Buonanno, Yanbei Chen. 2001

157 citations recorded by the source corpus.

Using the force-susceptibility formalism of linear quantum measurements, we study the dynamics of signal recycled interferometers, such as LIGO-II. We show that, although the antisymmetric mode of motion of the four arm-cavity mirrors is originally described by a free mass, when the signal-recycling mirror is added to the interferometer, the radiation-pressure force not only disturbs the motion of that “free mass” randomly due to quantum fluctuations, but also, and more fundamentally, makes it respond to forces as though it were connected to a spring with a specific optical-mechanical rigidity. This oscillatory response gives rise to a much richer dynamics than previously known for SR interferometers, which enhances the possibilities for reshaping the noise curves and, if thermal noise can be pushed low enough, enables the standard quantum limit to be beaten. We also show the possibility of using servo systems to suppress the instability associated with the optical-mechanical interaction without compromising the sensitivity of the interferometer.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/831be8fa0f9e3a24c41ed1e3b9e3b0a8821ef2ce

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Ocean Engineering

Citations in the corpus

Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo (2019, unknown): “For dvanced LIGO those include the light source (a pre-stabilized aser) [60,61], the main optics [62–69], the signal recycling mirror used to optimize the GW signal extraction) [5,70,71], the optics uspension and seismic isolation systems [72–85], the sensing nd control strategies [86–88], the autom”
Mechanical systems in the quantum regime (2011, background): “This thus changes the effective spring constant of the resonator to kR = k0 − ∂Frad/∂u; the so-called optical spring [224, 225, 226, 227, 228, 39, 229, 230].”
Gravitational Radiation Detection with Laser Interferometry (2013, background): “The quantum correlations built up in the signal re-cycled interferometers make it possible to surpass the Standard Quantum Limit in a narrow band (Buonanno and Chen, 2002; Vyatchanin and Matsko, 1996).”
Neutron Star Extreme Matter Observatory: A kilohertz-band gravitational-wave detector in the global network (2020, background): “The same effect of enhanced sensitivity at certain frequencies can be obtained by detuning the signal-recycling cavity (Buonanno & Chen 2002).”
Detecting gravitational wave emission from the known accreting neutron stars (2008, background): “Advanced LIGO can potentially be operated in a narrow band mode where sensitivity is gained in a relatively narrow frequency range at the expense of broad band sensitivity (see e.g. Meers (1988); Buonanno & Chen (2002)).”