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Quantum Electronics and Laser Science Conference

Squeezing effects in mechanical oscillators

Ben-Aryeh

Published Jan 1, 2009• 0 citations
OpenAlex

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Quantum squeezing in macroscopic oscillator systems plays a critical role in bridging quantum mechanics with classical-scale phenomena, enabling high-precision measurements and fundamental tests of quantum physics. In this work, we investigate the effect of squeezing on the phonon state in a hybrid macroscopic mechanical system consisting of an ensemble of Rydberg atoms coupled to two macroscopic mechanical oscillators. We notice that the dipole–dipole coupling between atoms and mechanical oscillators can be transferred to the indirectly coupled mechanical interaction, and the nonlinear effective Hamiltonian can be solved to generate a squeezed effect on the mechanical mode. We also discuss the noise effects induced by amplitude and phase fluctuations on the squeezed quadratures of the system.

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Squeezing Effects in Mechanical Oscillators

Y. Ben-Aryeh

A slow increase of the amplitude and frequency of a mechanical harmonic oscillator leads to squeezing effects, which are related to the use of the adiabatic approximation. An order of magnitude for this squeezing is calculated and it is suggested to use the present theory for mechanical oscillators in traps and for resonant detectors. The other extreme case of 'impact' interaction is analyzed in which the time of interaction is small relative to the time period of the harmonic oscillator. In the latter case the time development is without any squeezing but broadening effects for the mechanical wave packets might be important.

Conference on Lasers and Electro-Optics•Jan 1, 2009•0 citations
Quantum squeezing in macroscopic oscillator systems plays a critical role in bridging quantum mechanics with classical-scale phenomena, enabling high-precision measurements and fundamental tests of quantum physics. In this work, we investigate the effect of squeezing on the phonon state in a hybrid macroscopic mechanical system consisting of an ensemble of Rydberg atoms coupled to two macroscopic mechanical oscillators. We notice that the dipole–dipole coupling between atoms and mechanical oscillators can be transferred to the indirectly coupled mechanical interaction, and the nonlinear effective Hamiltonian can be solved to generate a squeezed effect on the mechanical mode. We also discuss the noise effects induced by amplitude and phase fluctuations on the squeezed quadratures of the system.
A slow increase of the amplitude and frequency of a mechanical harmonic oscillator leads to squeezing effects, which are related to the use of the adiabatic approximation. An order of magnitude for this squeezing is calculated and it is suggested to use the present theory for mechanical oscillators in traps and for resonant detectors. The other extreme case of 'impact' interaction is analyzed in which the time of interaction is small relative to the time period of the harmonic oscillator. In the latter case the time development is without any squeezing but broadening effects for the mechanical wave packets might be important.