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Squeezed Quantum States of the Harmonic Oscillator and the Problem of Detecting Gravitational Waves

Леонид Петрович Грищук, Mikhail Vasil'evich Sazhin

Jul 1, 19830 citations

Squeezed quantum states of a harmonic oscillator in the problem of gravitational-wave detection

Леонид Петрович Грищук, Mikhail Vasil'evich Sazhin

Journal of Experimental and Theoretical PhysicsJun 1, 19834 citations

Berry Phase for a Harmonic Oscillator Interacting with a Gravitational Wave

Manjari Dutta, Soham Sen, Sunandan Gangopadhyay

Springer proceedings in physicsJan 1, 20250 citations

Number-squeezed Fock states and gravitational-wave detection

B. K. Murzakhmetov, Alexei Vladimirovich Chizhov

Optics and SpectroscopyNov 1, 19930 citations

Quantum ballet by gravitational waves: Generating entanglement's dance of revival-collapse and memory within the quantum system

Partha Nandi, Bibhas Ranjan Majhi, Debnath, Nandita +1 more

Recent proposals are emerging for the experimental detection of entanglement mediated by classical gravity, carrying significant theoretical and observational implications. In fact, the detection of gravitational waves (GWs) in LIGO provides an alternative laboratory for testing various gravity-related properties. By employing LIGO's arms as oscillators interacting with gravitational waves (GWs), our study demonstrates the potential for generating quantum entanglement between two mutually orthogonal modes of simple harmonic oscillators. Our findings reveal unique entanglement dynamics, including periodic "collapse and revival" influenced by GW oscillations, alongside a distinct "quantum memory effect." Effectively, each harmonic oscillator feels a temperature. We believe that these forecasts may hold significance towards both theoretically probing and experimentally verifying various properties of classical gravitational waves.Recent proposals are emerging for the experimental detection of entanglement mediated by classical gravity, carrying significant theoretical and observational implications. In fact, the detection of gravitational waves (GWs) in LIGO provides an alternative laboratory for testing various gravity-related properties. By employing LIGO's arms as oscillators interacting with gravitational waves (GWs), our study demonstrates the potential for generating quantum entanglement between two mutually orthogonal modes of simple harmonic oscillators. Our findings reveal unique entanglement dynamics, including periodic "collapse and revival" influenced by GW oscillations, alongside a distinct "quantum memory effect." Effectively, each harmonic oscillator feels a temperature. We believe that these forecasts may hold significance towards both theoretically probing and experimentally verifying various properties of classical gravitational waves.

arXiv:2401.02778Jan 5, 20240 citations

Coupled harmonic oscillators for the measurement of a weak classical force at the standard quantum limit

P. Leaci, A. Ortolan

We discuss limitations in precision measurements of a weak classical force coupled to quantum mechanical systems, the so-called standard quantum limit (SQL). Among the several contexts exploiting the measurement of classical signals, gravitational wave (GW) detection is of paramount importance. In this framework, we analyze the quantum limited sensitivity of a free test mass, a quantum mechanical harmonic oscillator, two harmonic oscillators with equal masses and different resonance frequencies, and finally two mechanical oscillators with different masses and resonating at the same frequency. The sensitivity analysis of the latter two cases illustrates the potentialities of back-action reduction and classical impedance matching schemes, respectively. By examining coupled quantum oscillators as detectors of classical signals, we found a viable path to approach the SQL for planned or operating GW detectors, such as DUAL and AURIGA.We discuss limitations in precision measurements of a weak classical force coupled to quantum mechanical systems, the so-called standard quantum limit (SQL). Among the several contexts exploiting the measurement of classical signals, gravitational wave (GW) detection is of paramount importance. In this framework, we analyze the quantum limited sensitivity of a free test mass, a quantum mechanical harmonic oscillator, two harmonic oscillators with equal masses and different resonance frequencies, and finally two mechanical oscillators with different masses and resonating at the same frequency. The sensitivity analysis of the latter two cases illustrates the potentialities of back-action reduction and classical impedance matching schemes, respectively. By examining coupled quantum oscillators as detectors of classical signals, we found a viable path to approach the SQL for planned or operating GW detectors, such as DUAL and AURIGA.

Physical Review ADec 4, 20078 citations

Compressed quantum states of a harmonic oscillator in the problem of detecting gravitational waves

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