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This research proposes using levitated mesoscopic particles in squeezed-Fock states as a novel platform for quantum-enhanced gravimetry, leveraging the direct coupling between gravity and center-of-mass motion. The study demonstrates how mechanical squeezing can convert standard dissipation into anisotropic noise to optimize sensitivity against decoherence limits inherent in Duffing oscillator systems. These findings advance the theoretical framework for high-precision inertial sensing using quantum resources rather than classical signal processing alone.
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Mechanical Squeezed-Fock Gravimeter

arXiv2 min read

arXiv:2605.28289v2 Announce Type: replace Abstract: Levitated mechanical systems are promising candidates for quantum gravimetry, as gravity couples directly to their center-of-mass motion, enabling the large mass of a mesoscopic particle to serve as a sensing resource. In this paper, we propose a mechanical squeezed-Fock qubit gravimeter using a Duffing oscillator that is driven by a detuned two-phonon pump. In the squeezed-Fock basis, the gravitational force couples to the anti-squeezed quadrature, which enhances the gravity-induced transition rate while preserving the direct mass scaling of the mechanical force coupling. We show that sensitivity improves with reduced effective qubit splitting that is controlled by the squeezing parameter and the Duffing nonlinearity. We further analyze mechanical damping and show that squeezing converts ordinary dissipation into anisotropic qubit noise, setting a practical trade-off between signal amplification and decoherence rate. These results identify the mechanical squeezed-Fock qubit as a new platform for quantum-enhanced gravimetry.

Abstract:Levitated mechanical systems are promising candidates for quantum gravimetry, as gravity couples directly to their center-of-mass motion, enabling the large mass of a mesoscopic particle to serve as a sensing resource. In this paper, we propose a mechanical squeezed-Fock qubit gravimeter using a Duffing oscillator that is driven by a detuned two-phonon pump. In the squeezed-Fock basis, the gravitational force couples to the anti-squeezed quadrature, which enhances the gravity-induced transition rate while preserving the direct mass scaling of the mechanical force coupling. We show that sensitivity improves with reduced effective qubit splitting that is controlled by the squeezing parameter and the Duffing nonlinearity. We further analyze mechanical damping and show that squeezing converts ordinary dissipation into anisotropic qubit noise, setting a practical trade-off between signal amplification and decoherence rate. These results identify the mechanical squeezed-Fock qubit as a new platform for quantum-enhanced gravimetry.

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arXiv:2605.28289 [quant-ph]

(or arXiv:2605.28289v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2605.28289 Focus to learn more arXiv-issued DOI via DataCite

https://doi.org/10.1088/2058-9565/ae9186 Focus to learn more DOI(s) linking to related resources

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