Verification of conditional mechanical squeezing for a mg-scale pendulum near quantum regimes

• URL: http://arxiv.org/abs/2008.10848v5
• Date: Wed, 15 Nov 2023 06:09:58 GMT
• Title: Verification of conditional mechanical squeezing for a mg-scale pendulum near quantum regimes
• Authors: Jordy G. Santiago-Condori, Naoki Yamamoto, and Nobuyuki Matsumoto
• Abstract summary: In quantum mechanics, measurement can be used to prepare a quantum state. We demonstrate conditional mechanical squeezing of a mg-scale suspended mirror near quantum regimes.
• Score: 0.39102514525861415
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum mechanics, measurement can be used to prepare a quantum state. This principle is applicable even for macroscopic objects, which may enable us to see classical-quantum transition. Here, we demonstrate conditional mechanical squeezing of a mg-scale suspended mirror (i.e. the center-of-mass mode of a pendulum) near quantum regimes, through continuous linear position measurement and quantum state prediction. The experiment involved the pendulum interacting with photon coherent fields in a detuned optical cavity, which creates an optical spring. Futhermore, the detuned cavity allows us to perform linear position measurement by direct photo-detection of the reflected light. We experimentally verify the conditional squeezing using the theory combining prediction and retrodiction based on the causal and anti-causal filters. As a result, the standard deviation of position and momentum are respectively given by 36 times the zero-point amplitude of position $q_{\rm zpf}$ and 89 times the zero-point amplitude of momentum $p_{\rm zpf}$. The squeezing level achieved is about 5 times closer to the zero-point motion, despite that the mass of the mechanical oscillator is approximately 7 orders of magnitude greater, compared to the previous study. Thus, our demonstration is the first step towards quantum control for massive objects whose mass-scale is high enough to measure gravitational interactions. Such quantum control will pave the way to test quantum mechanics using the center-of-mass mode of massive objects.

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