Quantum Probes for the Characterization of Nonlinear Media

Entropy

卷:23

Berihu Teklu¹  Matteo Piccolini²  Sholeh Razavian³  Stefano Olivares⁴  Alessandro Candeloro⁴  Matteo G. A. Paris⁴ 

[1] Department of Applied Mathematics and Sciences, Center for Cyber-Physical Systems (C2PS), Khalifa University, Abu Dhabi 127788, United Arab Emirates;

[2] Dipartimento di Ingegneria, Università di Palermo, I-90128 Palermo, Italy;

[3] Max-Planck-Institut fur Quantenoptik, D-85748 Garching bei Munchen, Germany;

[4] Quantum Technology Lab, Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, I-20133 Milano, Italy;

关键词: quantum sensing;    quantum metrology;    quantum probes;    multiparameter estimation;   

DOI  :  10.3390/e23101353

来源: DOAJ

【 摘 要 】

Active optical media leading to interaction Hamiltonians of the form $H=\tilde{\lambda }{(a+a^{†})}^{\zeta }$ represent a crucial resource for quantum optical technology. In this paper, we address the characterization of those nonlinear media using quantum probes, as opposed to semiclassical ones. In particular, we investigate how squeezed probes may improve individual and joint estimation of the nonlinear coupling $\tilde{\lambda }$ and of the nonlinearity order $\zeta$. Upon using tools from quantum estimation, we show that: (i) the two parameters are compatible, i.e., the may be jointly estimated without additional quantum noise; (ii) the use of squeezed probes improves precision at fixed overall energy of the probe; (iii) for low energy probes, squeezed vacuum represent the most convenient choice, whereas for increasing energy an optimal squeezing fraction may be determined; (iv) using optimized quantum probes, the scaling of the corresponding precision with energy improves, both for individual and joint estimation of the two parameters, compared to semiclassical coherent probes. We conclude that quantum probes represent a resource to enhance precision in the characterization of nonlinear media, and foresee potential applications with current technology.

【 授权许可】

Unknown