Optomechanical Systems with Linear and Quadratic Position Couplings: Dynamics and Optimal Estimation
- URL: http://arxiv.org/abs/2507.00187v1
- Date: Mon, 30 Jun 2025 18:53:59 GMT
- Title: Optomechanical Systems with Linear and Quadratic Position Couplings: Dynamics and Optimal Estimation
- Authors: Yaqing Xy Wang, Claudio Sanavio, József Zsolt Bernád,
- Abstract summary: We study the dynamics of an optomechanical system consisting of a single-mode optical field coupled to a mechanical oscillator.<n>We present a full analytical solution to this quantum mechanical Hamiltonian problem by employing the formalism of two-phonon coherent states.<n>We show that balanced homodyne detection can saturate the quantum Fisher information, thus reaching the ultimate precision bound for estimating the quadratic coupling.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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 a full 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 classical and quantum Fisher information for estimating the strength of the quadratic coupling. Our estimation scheme considers both standard and balanced homodyne photodetection, assuming an initial optical state prepared as a superposition of vacuum and single-photon states. We show that balanced homodyne detection can saturate the quantum Fisher information, thus reaching the ultimate precision bound for estimating the quadratic coupling. Additionally, we investigate the effect of thermal noise on the quantum Fisher information in a realistic experimental context.
Related papers
- Photon-mediated interactions and dynamics of coherently driven quantum emitters in complex photonic environments [41.94295877935867]
Born-Markov master equations have been extensively employed in the description of quantum optical phenomena.<n>We benchmark this modeling approach for the quantum dynamics of the emitter pair against exact calculations based on a macroscopic field quantization formalism.<n>Our analysis reveals four distinct regimes of laser driving and frequency splitting that lead to markedly different levels of accuracy in the effective model.
arXiv Detail & Related papers (2025-08-01T09:38:07Z) - Dynamics and Spectral Response of linear-quadratic optomechanical interaction: Effects of pure dephasing [55.2480439325792]
The decoherence dynamics and spectral response of an optomechanical system is addressed.<n>The decoherence considered arises from pure dephasing, described by the Milburn evolution of the Schr"odinger equation.<n>Results and discussion comparing the inclusions of the linear, quadratic, and linear-quadratic couplings are given.
arXiv Detail & Related papers (2025-01-24T17:13:09Z) - Quantum Dynamics of Dissipative Polarizable Media [0.0]
We present a Hamiltonian formulation for the quantum dynamics of polarizable sources.<n>We then apply our theory to the study of the optical response of two plasmonic systems.<n>We derive the master equation describing the open dynamics of a quantum system interacting with the quantum polarizable medium.
arXiv Detail & Related papers (2025-01-21T11:48:32Z) - Bounding the rotating wave approximation for coupled harmonic oscillators [34.82692226532414]
We study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction.<n>We are able to fully quantify the deviation of arbitrary pure Gaussian states that evolve through different dynamics from a common quantum state.
arXiv Detail & Related papers (2024-03-22T16:51:53Z) - Enhanced optomechanical interaction in the unbalanced interferometer [40.96261204117952]
Quantum optomechanical systems enable the study of fundamental questions on quantum nature of massive objects.
Here we propose a modification of the Michelson-Sagnac interferometer, which allows to boost the optomechanical coupling strength.
arXiv Detail & Related papers (2023-05-11T14:24:34Z) - Experimental Quantum Simulation of Dynamic Localization on Curved
Photonic Lattices [18.469890724212902]
We fabricate one-dimensional and hexagonal two-dimensional arrays, both with sinusoidal curvature.
We successfully observe the suppressed single-photon evolution patterns, and for the first time measure the variances to study their transport properties.
We demonstrate a useful quantum simulation of dynamic localization for studying their anisotropic transport properties, and a promising application of dynamic localization as a building block for quantum information processing in integrated photonics.
arXiv Detail & Related papers (2022-05-26T09:03:42Z) - Exploring quantum correlations in a hybrid optomechanical system [0.0]
We propose a scheme of two coupled optomechanical cavities to enhance the intracavity entanglement.
Photon hopping is employed to establish couplings between optical modes, while phonon is utilized to establish couplings between mechanical tunneling resonators.
arXiv Detail & Related papers (2022-04-16T08:47:50Z) - Two-photon resonance fluorescence of two interacting non-identical
quantum emitters [77.34726150561087]
We study a system of two interacting, non-indentical quantum emitters driven by a coherent field.
We show that the features imprinted by the two-photon dynamics into the spectrum of resonance fluorescence are particularly sensitive to changes in the distance between emitters.
This can be exploited for applications such as superresolution imaging of point-like sources.
arXiv Detail & Related papers (2021-06-04T16:13:01Z) - Eigenvalues and Eigenstates of Quantum Rabi Model [0.0]
We present an approach to the exact diagonalization of the quantum Rabi Hamiltonian.
It is shown that the obtained eigenstates can be represented in the basis of the eigenstates of the Jaynes-Cummings Hamiltonian.
arXiv Detail & Related papers (2021-04-26T17:45:41Z) - Light-matter interactions near photonic Weyl points [68.8204255655161]
Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point.
We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
arXiv Detail & Related papers (2020-12-23T18:51:13Z) - Quantum limit-cycles and the Rayleigh and van der Pol oscillators [0.0]
Self-oscillating systems are emerging as canonical models for driven dissipative nonequilibrium open quantum systems.
We derive an exact analytical solution for the steady-state quantum dynamics of the simplest of these models.
Our solution is a generalization to arbitrary temperature of existing solutions for very-low, or zero, temperature.
arXiv Detail & Related papers (2020-11-05T08:51:51Z) - Fisher-information-based estimation of optomechanical coupling strengths [0.0]
We apply formalism of quantum estimation theory to the estimation of the coupling strength in an optomechanical system.
Our estimation scenario is based on balanced homodyne photodetection of the cavity output field.
arXiv Detail & Related papers (2020-02-08T23:19:22Z) - In and out of equilibrium quantum metrology with mean-field quantum
criticality [68.8204255655161]
We study the influence that collective transition phenomena have on quantum metrological protocols.
The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
arXiv Detail & Related papers (2020-01-09T19:20:42Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.