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International Journal of Theoretical Physics

Transference of squeezing in coupled oscillators

Cezar Augusto Bonato, B. Baseia

Published Jul 1, 1994• 6 citations
Publisher
DOI
10.1007/bf00670688

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In recent literature the treatment of the system constituted by a trapped laser-cooled ion coupled to the modes of a source oscillator is presented. Among several effects presented in this system, the transference of squeezing from the source oscillator to the cooled ion is investigated. In this paper we present an alternative and more elaborate approach for this problem considering mainly the generation and transference of squeezing in this coupled system. We find exact expression for the variances of the involved quadratures. Variations observed due to the change of the involved parameters are also discussed.
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.