Monitoring variations of refractive index via Hilbert-Schmidt speed and applying this phenomenon to improve quantum metrology

Abstract

Effective nonlinear optical interactions are essential for many applications in modern photonics. In this paper, we investigate the role of the nonlinear response of a material to improve quantum metrology. In particular, the collective optical behavior of an atomic ensemble is applied to enhance frequency estimation through one of the atoms. Moreover, we introduce Hilbert-Schmidt speed, an easily computable theoretical tool, to monitor the variations of linear as well as nonlinear refractive indices and evaluate the strength of the nonlinear response of optical materials. Furthermore, we illustrate that quantum Fisher information and Hilbert-Schmidt speed can efficiently detect negative permittivity and refractive index, which is of great importance from a practical point of view.

References in corpus (18)

• Quantum criticality as a resource for quantum estimation
• Time-Reversal-Based Quantum Metrology with Many-Body Entangled States
• Quantum metrology in Lipkin-Meshkov-Glick critical systems
• Tutorial: Optical quantum metrology
• High-performance quantum entanglement generation via cascaded second-order nonlinear processes
• Simultaneous Perturbation Stochastic Approximation of the Quantum Fisher Information
• Optimal Scheme for Quantum Metrology
• Variational principle for optimal quantum controls in quantum metrology
• Learning feedback control strategies for quantum metrology
• Achieving optimal quantum acceleration of frequency estimation using adaptive coherent control
• General expressions for the quantum Fisher information matrix with applications to discrete quantum imaging
• Cloaking, Trapping and Superlensing of Lamb Waves with Negative Refraction
• Thermodynamic principle for quantum metrology
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Femtosecond optical breakdown in silicon
• Quantum frequency estimation with conditional states of continuously monitored independent dephasing channels
• Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

Cited by in corpus (1)

• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed