Quantum non-Hermitian topological sensors

We investigate in the framework of quantum noise theory how the striking boundary sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors. Specifically, we study a quantum-optical setting of coupled modes arranged in an...

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Main Authors: Florian Koch, Jan Carl Budich
Format: Article
Language:English
Published: American Physical Society 2022-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013113
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author Florian Koch
Jan Carl Budich
author_facet Florian Koch
Jan Carl Budich
author_sort Florian Koch
collection DOAJ
description We investigate in the framework of quantum noise theory how the striking boundary sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors. Specifically, we study a quantum-optical setting of coupled modes arranged in an array with broken ring geometry that would realize a NH topological phase in the classical limit. Using methods from quantum-information theory of Gaussian states, we show that a small coupling induced between the ends of the broken ring may be detected with a precision that increases exponentially in the number of coupled modes, e.g., by heterodyne detection of two output modes. While this robust effect only relies on reaching a NH topological regime, we identify a resonance phenomenon without direct classical counterpart that provides an experimental knob for drastically enhancing the aforementioned exponential growth. Our findings pave the way towards designing quantum NH topological sensors that may observe with high precision any physical observable that couples to the boundary conditions of the device.
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spelling doaj.art-ad6b113c27164680b19a47e99461efad2024-04-12T17:17:57ZengAmerican Physical SocietyPhysical Review Research2643-15642022-02-014101311310.1103/PhysRevResearch.4.013113Quantum non-Hermitian topological sensorsFlorian KochJan Carl BudichWe investigate in the framework of quantum noise theory how the striking boundary sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be harnessed to devise novel quantum sensors. Specifically, we study a quantum-optical setting of coupled modes arranged in an array with broken ring geometry that would realize a NH topological phase in the classical limit. Using methods from quantum-information theory of Gaussian states, we show that a small coupling induced between the ends of the broken ring may be detected with a precision that increases exponentially in the number of coupled modes, e.g., by heterodyne detection of two output modes. While this robust effect only relies on reaching a NH topological regime, we identify a resonance phenomenon without direct classical counterpart that provides an experimental knob for drastically enhancing the aforementioned exponential growth. Our findings pave the way towards designing quantum NH topological sensors that may observe with high precision any physical observable that couples to the boundary conditions of the device.http://doi.org/10.1103/PhysRevResearch.4.013113
spellingShingle Florian Koch
Jan Carl Budich
Quantum non-Hermitian topological sensors
Physical Review Research
title Quantum non-Hermitian topological sensors
title_full Quantum non-Hermitian topological sensors
title_fullStr Quantum non-Hermitian topological sensors
title_full_unstemmed Quantum non-Hermitian topological sensors
title_short Quantum non-Hermitian topological sensors
title_sort quantum non hermitian topological sensors
url http://doi.org/10.1103/PhysRevResearch.4.013113
work_keys_str_mv AT floriankoch quantumnonhermitiantopologicalsensors
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