Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive

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Bibliographic Details
Main Authors:	Bao, Liying, Qi, Bo, Dong, Daoyi
Format:	Preprint
Published:	2021
Subjects:	Quantum Physics
Online Access:	Acceder al recurso
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author	Bao, Liying Qi, Bo Dong, Daoyi
author_facet	Bao, Liying Qi, Bo Dong, Daoyi
contents	Distinct non-Hermitian dynamics has demonstrated its advantages in improving measurement precision over traditional sensing protocols. Multi-mode non-Hermitian lattice dynamics can provide exponentially-enhanced quantum sensing where the quantum Fisher information (QFI) per photon increases exponentially with the lattice size. However, somewhat surprisingly, it was also shown that the quintessential non-Hermitian skin effect does not provide any true advantage. In this paper, we demonstrate the importance of optimizing the phase of the coherent drive, and the position of the injection and detection in multi-mode non-Hermitian quantum sensing. The QFI per photon can be exponentially-enhanced or exponentially-reduced depending on parameters of the drive and detection. Specifically, it is demonstrated that for large amplification by choosing appropriate coherent drive parameters, the non-Hermitian skin effect can provide exponentially-enhanced quantum sensing. Moreover, in the regime beyond linear response, skin-effect can also provide a dramatic advantage as compared to the local perturbation, and the proposed protocol is robust in tuning the amplification factor.
format	Preprint
id	arxiv_https___arxiv_org_abs_2109_04040
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive Bao, Liying Qi, Bo Dong, Daoyi Quantum Physics Distinct non-Hermitian dynamics has demonstrated its advantages in improving measurement precision over traditional sensing protocols. Multi-mode non-Hermitian lattice dynamics can provide exponentially-enhanced quantum sensing where the quantum Fisher information (QFI) per photon increases exponentially with the lattice size. However, somewhat surprisingly, it was also shown that the quintessential non-Hermitian skin effect does not provide any true advantage. In this paper, we demonstrate the importance of optimizing the phase of the coherent drive, and the position of the injection and detection in multi-mode non-Hermitian quantum sensing. The QFI per photon can be exponentially-enhanced or exponentially-reduced depending on parameters of the drive and detection. Specifically, it is demonstrated that for large amplification by choosing appropriate coherent drive parameters, the non-Hermitian skin effect can provide exponentially-enhanced quantum sensing. Moreover, in the regime beyond linear response, skin-effect can also provide a dramatic advantage as compared to the local perturbation, and the proposed protocol is robust in tuning the amplification factor.
title	Exponentially-enhanced Quantum Non-Hermitian Sensing via Optimized Coherent Drive
topic	Quantum Physics
url	https://arxiv.org/abs/2109.04040

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