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Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics

By Alexander McDonald and Aashish A. Clerk

Abstract

We study how unique features of non-Hermitian lattice systems can be harnessed to improve Hamiltonian parameter estimation in a fully quantum setting. While the so-called non-Hermitian skin effect does not provide any distinct advantage, alternate effects yield dramatic enhancements. We show that certain asymmetric non-Hermitian tight-binding models with a $\mathbb{Z}_2$ symmetry yield a pronounced sensing advantage: the quantum Fisher information per photon increases exponentially with system size. We find that these advantages persist in regimes where non-Markovian and non-perturbative effects become important. Our setup is directly compatible with a variety of quantum optical and superconducting circuit platforms, and already yields strong enhancements with as few as three lattice sites.Comment: 17 pages (including appendices), 4 figure

Topics: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics
Year: 2020
OAI identifier: oai:arXiv.org:2004.00585

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