Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems

• URL: http://arxiv.org/abs/2110.07805v1
• Date: Fri, 15 Oct 2021 02:07:07 GMT
• Title: Quantum Fisher Information Perspective on Sensing in Anti-PT Symmetric Systems
• Authors: J. Wang, D. Mukhopadhyay and G. S. Agarwal
• Abstract summary: We investigate the statistical bound to the measurement sensitivity for any arbitrary perturbation in a dissipatively coupled, anti-PT symmetric system. We reaffirm the role of a long-lived resonance in dissipatively interacting systems for sensing applications.
• Score: 0.1074267520911262
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The efficient sensing of weak environmental perturbations via special degeneracies called exceptional points in non-Hermitian systems has gained enormous traction in the last few decades. However, in contrast to the extensive literature on parity-time (PT) symmetric systems, the exotic hallmarks of anti-PT symmetric systems are only beginning to be realized now. Very recently, a characteristic resonance of vanishing linewidth in anti-PT symmetric systems was shown to exhibit tremendous sensitivity to intrinsic nonlinearities. Given the primacy of sensing in non-Hermitian systems, in general, and the immense topicality of anti-PT symmetry, we investigate the statistical bound to the measurement sensitivity for any arbitrary perturbation in a dissipatively coupled, anti-PT symmetric system. Using the framework of quantum Fisher information and the long-time solution to the full master equation, we analytically compute the Cramer-Rao bound for the system properties like the detunings and the couplings. As an illustrative example of this formulation, we inspect and reaffirm the role of a long-lived resonance in dissipatively interacting systems for sensing applications. \end{abstract}

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