Quantum noise of white light cavity using double-pumped gain medium

Abstract

Laser interferometric gravitational-wave detectors implement Fabry-Perot cavities to increase their peak sensitivity. However, this is at cost of reducing their detection bandwidth, which origins from the propagation phase delay of the light. The "white-light-cavity" idea, first proposed by Wicht et al. [Optics Communications 134, 431 (1997)], is to circumvent this limitation by introducing anomalous dispersion, using double-pumped gain medium, to compensate for such phase delay. In this article, starting from the Hamiltonian of atom-light interaction, we apply the input-output formalism to evaluate the quantum noise of the system. We find that apart from the additional noise associated with the parametric amplification process noticed by others, the stability condition for the entire system poses an additional constraint. Through surveying the parameter regimes where the gain medium remains stable (not lasing) and stationary, we find that there is no net enhancement of the shot-noise limited sensitivity. Therefore, other gain mediums or different parameter regimes shall be explored for realizing the white light cavity.

12 pages, 7 figures

References in corpus (3)

• Gravitational Radiation Detection with Laser Interferometry
• Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor
• Demonstration of white light cavity effect using stimulated Brillouin scattering in a fiber loop

Cited by in corpus (14)

• Enhancing the bandwidth of gravitational-wave detectors with unstable optomechanical filters
• Advanced quantum techniques for future gravitational-wave detectors
• Towards the Design of Gravitational-Wave Detectors for Probing Neutron-Star Physics
• Beating the standard sensitivity-bandwidth limit of cavity-enhanced interferometers with internal squeezed-light generation
• Quantum expander for gravitational-wave observatories
• The next detectors for gravitational wave astronomy
• Converting the signal-recycling cavity into an unstable optomechanical filter to enhance the detection bandwidth of gravitational-wave detectors
• Broadband quantum memory in a cavity via zero spectral dispersion
• Enhanced detection of high frequency gravitational waves using optically diluted optomechanical filters
• Fundamental Relations between Measurement, Radiation and Decoherence in Gravitational Wave Laser Interferometer Detectors
• Direct approach to realising quantum filters for high-precision measurements
• Tunable ultrahigh reflection with broadband via collective atom-atom interaction in waveguide-QED system
• Realization of Gain with Electromagnetically Induced Transparency System with Non-degenerate Zeeman Sublevels in ${}^{87}$Rb
• Observation of an Optical Spring in a Robustly Controlled Signal-Recycled Michelson Interferometer