Scaling law in signal recycled laser-interferometer gravitational-wave detectors
arXiv:gr-qc/0208048 · doi:10.1103/PhysRevD.67.062002
Abstract
By mapping the signal-recycling (SR) optical configuration to a three-mirror cavity, and then to a single detuned cavity, we express SR optomechanical dynamics, input--output relation and noise spectral density in terms of only three characteristic parameters: the (free) optical resonant frequency and decay time of the entire interferometer, and the laser power circulating in arm cavities. These parameters, and therefore the properties of the interferometer, are invariant under an appropriate scaling of SR-mirror reflectivity, SR detuning, arm-cavity storage time and input power at beamsplitter. Moreover, so far the quantum-mechanical description of laser-interferometer gravitational-wave detectors, including radiation-pressure effects, was only obtained at linear order in the transmissivity of arm-cavity internal mirrors. We relax this assumption and discuss how the noise spectral densities change.
23 pages
References in corpus (7)
- Stable Operation of a 300-m Laser Interferometer with Sufficient Sensitivity to Detect Gravitational-Wave Events within our Galaxy
- Signal recycled laser-interferometer gravitational-wave detectors as optical springs
- Practical speed meter designs for QND gravitational-wave interferometers
- Frequency-dependent rigidity in large-scale interferometric gravitational-wave detectors
- Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout scheme
- An analysis of a QND speed-meter interferometer
- Laser-interferometer gravitational-wave optical-spring detectors
Cited by in corpus (75)
- Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
- Quantum Measurement Theory in Gravitational-Wave Detectors
- The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
- Proposal for Gravitational-Wave Detection Beyond the Standard Quantum Limit via EPR Entanglement
- The MBTA Pipeline for Detecting Compact Binary Coalescences in the Third LIGO-Virgo Observing Run
- Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors
- Observation of generalized optomechanical coupling and cooling on cavity resonance
- A squeezed state source using radiation pressure induced rigidity
- Enhancing the bandwidth of gravitational-wave detectors with unstable optomechanical filters
- Advanced quantum techniques for future gravitational-wave detectors
- Quantum back-action in measurements of zero-point mechanical oscillations
- Overcoming the SQL in gravitational wave detectors using spin systems with negative effective mass
- Measurement of Optical Response of a Detuned Resonant Sideband Extraction Interferometer
- Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout scheme
- Improving the sensitivity to gravitational-wave sources by modifying the input-output optics of advanced interferometers
- LIGOs Quantum Response to Squeezed States
- QND measurements for future gravitational-wave detectors
- Optimal configurations of filter cavity in future gravitational-wave detectors
- Mathematical framework for simulation of quantum fields in complex interferometers using the two-photon formalism
- Quantum state preparation and macroscopic entanglement in gravitational-wave detectors
- Quantum Limits of Interferometer Topologies for Gravitational Radiation Detection
- Double optical spring enhancement for gravitational wave detectors
- Anomalous dynamic back-action in interferometers
- Frequency noise and intensity noise of next-generation gravitational-wave detectors with RF/DC readout schemes
- Einstein-Podolsky-Rosen - entangled motion of two massive objects
- Towards the Fundamental Quantum Limit of Linear Measurements of Classical Signals
- Optimizing LIGO with LISA forewarnings to improve black-hole spectroscopy
- Quantum expander for gravitational-wave observatories
- The next detectors for gravitational wave astronomy
- Negative optical inertia for enhancing the sensitivity of future gravitational-wave detectors
- Achieving ground state and enhancing entanglement by recovering information
- Engineering the Optical Spring via Intra-Cavity Optical-Parametric Amplification
- Quantum signatures in nonlinear gravitational waves
- Squeezed Light for the Interferometric Detection of High Frequency Gravitational Waves
- Local readout enhancement for detuned signal-recycling interferometers
- A Gravitational Wave Detector for Post Merger Neutron Stars: Beyond the Quantum Loss Limit of Michelson Fabry Perot Interferometer
- Converting the signal-recycling cavity into an unstable optomechanical filter to enhance the detection bandwidth of gravitational-wave detectors
- Sub-SQL Sensitivity via Optical Rigidity in Advanced LIGO Interferometer with Optical Losses
- Quantum variational measurement in the next generation gravitational-wave detectors
- Fundamental quantum limits of multi-carrier optomechanical sensors
- Quantum noise of white light cavity using double-pumped gain medium
- To the practical design of the optical lever intracavity topology of gravitational-wave detectors
- Increasing the sensitivity of future gravitational-wave detectors with double squeezed-input
- Increasing future gravitational-wave detectors sensitivity by means of amplitude filter cavities and quantum entanglement
- Dissipative-coupling-assisted laser cooling: limitations and perspectives
- Implications of the Quantum Noise Target for the Einstein Telescope Infrastructure Design
- Enhanced detection of high frequency gravitational waves using optically diluted optomechanical filters
- Time evolution of parametric instability in large-scale gravitational-wave interferometers
- Frequency-dependent squeezing for gravitational-wave detection through quantum teleportation
- Achieving the fundamental quantum limit of linear waveform estimation
- Optimizing the regimes of Advanced LIGO gravitational wave detector for multiple source types
- Boosting the sensitivity of high frequency gravitational wave detectors by PT-symmetry
- Interaction of plane gravitational waves with a Fabry-Perot cavity in the local Lorentz frame
- Macroscopic quantum entanglement between an optomechanical cavity and a continuous field in presence of non-Markovian noise
- Quantum functionalities via feedback amplification
- Feasibility study of beam-expanding telescopes in the interferometer arms for the Einstein Telescope
- A two-carrier scheme: evading the 3dB quantum penalty of heterodyne readout in gravitational-wave detectors
- Negative dispersion medium at 1064 nm in an optomechanical resonator for enhancing the sensitivity bandwidth in a gravitational-wave detector
- Generalized analysis of quantum noise and dynamic back-action in signal-recycled Michelson-type laser interferometers
- Time-domain analysis of a dynamically tuned signal recycled interferometer for the detection of chirp gravitational waves from coalescing compact binaries
- New Photodetection Method Using Unbalanced Sidebands for Squeezed Quantum Noise in Gravitational Wave Interferometer
- Broadband Quantum Noise Reduction in Future Long Baseline Gravitational-wave Detectors via EPR Entanglement
- Enhancing the force sensitivity of squeezed light optomechanical interferometer
- Fundamental sensitivity limit of lossy cavity-enhanced interferometers with external and internal squeezing
- Stable optical spring in aLIGO detector with unbalanced arms and in Michelson-Sagnac interferometer
- Quantum variational measurement and the "optical lever" intracavity topology of gravitational-wave detectors
- Paired carriers as a way to reduce quantum noise of multi-carrier gravitational-wave detectors
- Sensitivity of intracavity filtering schemes for detecting gravitational waves
- Squeezing of optomechanical modes in detuned Fabry-Perot interferometer
- Electromagnetic Continuum Induced Nonlinearity
- Trade-off between quantum and thermal fluctuations in mirror coatings yields improved sensitivity of gravitational-wave interferometers
- Can we detect the quantum nature of weak gravitational fields?
- Spontaneous symmetry-breaking in optomechanical cavity
- Theoretical Detailed Analyses for DC readout and a Fabri-Pérot gravitational-wave detector
- Designing optimal linear detectors -- a bottom-up approach