Thermal and back-action noises in dual-sphere gravitational-waves detectors

Abstract

We study the sensitivity limits of a broadband gravitational-waves detector based on dual resonators such as nested spheres. We determine both the thermal and back-action noises when the resonators displacements are read-out with an optomechanical sensor. We analyze the contributions of all mechanical modes, using a new method to deal with the force-displacement transfer functions in the intermediate frequency domain between the two gravitational-waves sensitive modes associated with each resonator. This method gives an accurate estimate of the mechanical response, together with an evaluation of the estimate error. We show that very high sensitivities can be reached on a wide frequency band for realistic parameters in the case of a dual-sphere detector.

arXiv comment10 pages, 7 figures

References in corpus (12)

• Cooling of a mirror by radiation pressure
• Internal thermal noise in the LIGO test masses : a direct approach
• Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae
• Thermoelastic Noise and Homogeneous Thermal Noise in Finite Sized Gravitational-Wave Test Masses
• Thermoelastic effects at low temperatures and quantum limits in displacement measurements
• Wideband dual sphere detector of gravitational waves
• What can we learn about GW Physics with an elastic spherical antenna?
• High-sensitivity optical measurement of mechanical Brownian motion
• The TIGA technique for detecting gravitational waves with a spherical antenna
• A hollow sphere as a detector of gravitational radiation
• Room temperature GW bar detector with opto-mechanical readout
• The mathematical theory of resonant transducers in a spherical gravity wave antenna

Cited by in corpus (19)

• Back-action Evading Measurements of Nanomechanical Motion
• Coherent Quantum-Noise Cancellation for Optomechanical Sensors
• Cavity quantum electro-optics
• Force sensing based on coherent quantum noise cancellation in a hybrid optomechanical cavity with squeezed-vacuum injection
• Robust force sensing for a free particle in a dissipative optomechanical system with a parametric amplifier
• Observation of back-action cancellation in interferometric and weak force measurements
• Coherent Cancellation of Backaction Noise in optomechanical Force Measurements
• Trajectories without quantum uncertainties
• Selective readout and back-action reduction for wideband acoustic gravitational wave detectors
• Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
• Complete model of a spherical gravitational wave detector with capacitive transducers. Calibration and sensitivity optimization
• Principles of wide bandwidth acoustic detectors and the single-mass DUAL detector
• A theoretical approach to thermal noise caused by an inhomogeneously distributed loss -- Physical insight by the advanced modal expansion
• All-optical coherent quantum-noise cancellation in cascaded optomechanical systems
• Remote weak signal measurement via bound states in optomechanical system
• All-mechanical quantum noise cancellation for accelerometry: broadband with momentum measurements, narrow band without
• A kg-mass prototype demonstrator for DUAL gravitational wave detector: opto-mechanical excitation and cooling
• On the Sensitivity of a Hollow Sphere as a Multi-modal Resonant Gravitational Wave Detector
• Coherent noise cancellation in optomechanical system with double optical modes