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Internal friction effects are responsible for line widening of the resonance frequencies in spherical gravitational wave detectors, and result in exponentially damped oscillations of its eigenmodes with a decay time which is proportional to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. A. Lobo , J. A. Ortega

The Petermann factor and the phase rigidity are convenient measures for various aspects of open quantum and wave systems, such as the sensitivity of energy eigenvalues to perturbations or the magnitude of quantum excess noise in lasers. We…

Quantum Physics · Physics 2023-08-14 Jan Wiersig

In the context of direct detection sensors with compact dimensions, we investigate the gravimetric sensitivity of High-overtone Bulk Acoustic Resonators, through modeling of their acoustic characteristics and experiment. The high frequency…

Instrumentation and Detectors · Physics 2015-09-30 D. Rabus , J. -M Friedt , S. Ballandras , T. Baron , E. Lebrasseur , E. Carry

Significant efforts have been made to enhance the performance of displacement sensors limited by quantum noise, such as gravitational wave detectors. Techniques like frequency-dependent squeezing have overcome the standard quantum limit in…

Quantum Physics · Physics 2024-10-23 Haodong Xu , Zijun Shu , Nianqin Li , Yang Shen , Bo Ji , Yongjun Yang , Tengfei Wu , Mingliang Long , Guangqiang He

Modern resonant sensing tools can achieve increasingly high quality factors, which correspond to extremely narrow linewidths. In such systems, time-variation of the resonator's natural frequency can potentially impact its ability to…

Instrumentation and Detectors · Physics 2026-03-24 Hao-Ran Cui , Saarik Kalia , Zhen Liu

Rock properties are environment- and condition-dependent which render field-laboratory comparisons ambiguous for a number of known and unknown reasons that constitute the upscaling problem. Unknowns are first transformed into knowns in a…

Geophysics · Physics 2023-01-03 Stian Rørheim

We study an underdamped oscillator with shot-noise frequency fluctuations. The oscillator spectrum is determined by the interference of the susceptibilities for different eigenfrequencies. Depending on the parameters, it has a fine…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. I. Dykman , M. Khasin , J. Portman , S. W. Shaw

Recently, it has been shown that the change of resonance widths in an open system under a perturbation of its interior is a sensitive indicator of the nonorthogonality of resonance states. We apply this measure to quantify parametric motion…

Quantum Physics · Physics 2013-12-19 D. V. Savin , J. -B. De Vaulx

Linearised relativistic elasticity equations of motion are considered for a rod and a spinning ring encountering a gravitational wave. In the case of the rod, the equations reduce to a wave equation with appropriate boundary conditions.…

General Relativity and Quantum Cosmology · Physics 2025-02-28 José Natário , Amol Sasane , Rodrigo Vicente

We discuss the capabilities of spherical antenn\ae as single multifrequency detectors of gravitational waves. A first order theory allows us to evaluate the coupled spectrum and the resonators readouts when the first and the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Angeles Serrano , J. Alberto Lobo

We propose a model for frequency-dependent damping in the linear wave equation. After proving well-posedness of the problem, we study qualitative properties of the energy. In the one-dimensional case, we provide an explicit analysis for…

Analysis of PDEs · Mathematics 2025-03-06 Francesco Maddalena , Gianluca Orlando

Gravitational lensing is predicted by general relativity and is found in observations. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due to refraction properties, and…

Astrophysics · Physics 2009-11-13 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

Non-classical states of light find applications in enhancing the performance of optical interferometric experiments, with notable example of gravitational wave-detectors. Still, the presence of decoherence hinders significantly the…

Quantum Physics · Physics 2018-08-17 R. Demkowicz-Dobrzanski , M. Jarzyna , J. Kolodynski

We describe an atom interferometric gravitational wave detector design that can operate in a resonant mode for increased sensitivity. By oscillating the positions of the atomic wavepackets, this resonant detection mode allows for coherently…

Atomic Physics · Physics 2016-11-15 Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran

We report on theoretical investigations of frequency dependent quantum capacitance. It is found that at finite frequency a quantum capacitor can be characterized by a classical RLC circuit with three parameters: a static electrochemical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Wang , B. G. Wang , H. Guo

A magnetometric technique is demonstrated that may be suitable for precision measurements of fields ranging from the sub-microgauss level to above the Earth field. It is based on resonant nonlinear magneto-optical rotation caused by atoms…

Atomic Physics · Physics 2009-11-07 D. Budker , D. F. Kimball , V. V. Yashchuk , M. Zolotorev

The resonant enhancement of mechanical and optical interaction in optomechanical cavities enables their use as extremely sensitive displacement and force detectors. In this work we demonstrate a hybrid magnetometer that exploits the…

We study eigenvibrations for inhomogeneous string consisting of two parts with strongly contrasting stiffness and mass density. In this work we treat a critical case for the high frequency approximations, namely the case when the order of…

Spectral Theory · Mathematics 2013-09-03 Natalia Babych , Yuri Golovaty

We compare rigidity of materials in two phases, liquid and solid phases. As a measure of the rigidity, we employ the one characterizing how firmly the material is fixed by low density of pinning centers, such as impurities and rough…

Statistical Mechanics · Physics 2015-12-03 Naoki Hasegawa , Tatsuro Yuge , Akira Shimizu

Gravitational waves have predominantly been detected using interferometric techniques, with standard approaches limited to 10 kHz and with modern advancements extending this bound to 300 kHz. To explore the largely uncharted…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Eduard Atonga , Ramy Aboushelbaya , Peter A. Norreys