Work

Optomechanical systems with linear and quadratic position couplings: Dynamics and optimal estimation

Year: 2026

Type: article

Abstract: We study the dynamics of an optomechanical system consisting of a single-mode optical field coupled to a mechanical oscillator, where the nonlinear interaction includes both linear and quadratic terms in the oscillator's position. We present an analytical solution to this quantum-mechanical Hamiltonian problem by employing the formalism of two-phonon coherent states. Quantum estimation theory is applied to the resulting state of the optical field, with a focus on evaluating the quantum Fisher information with respect to the strength of the quadratic coupling. Our estimation scheme employs balanced homodyne photodetection and demonstrates that the corresponding classical Fisher information can reach the quantum Fisher information limit, with the phase of the local coherent oscillator playing a crucial role.

Source: Physical Review A

DOI: 10.1103/5dzx-dhql

Authors: Yaqing Xy Wang, Claudio Sanavio, Jozsef Zsolt Bernád

Institutions: Forschungszentrum Jülich, Italian Institute of Technology, Sapienza University of Rome, HUN-REN Wigner Research Centre for Physics

Language: English

Topic: Mechanical and Optical Resonators

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,675

Funders: Forschungszentrum Jülich, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal