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Critical Quantum Metrology in the Non-Linear Quantum Rabi Model

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second-order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system. We show that the QRM including a nonlinear coupling term ex...

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Detalles Bibliográficos
Autores principales: Ying, Zu-Jian, Felicetti, Simone, Liu, Gang, Braak, Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9330817/
https://www.ncbi.nlm.nih.gov/pubmed/35892995
http://dx.doi.org/10.3390/e24081015
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author Ying, Zu-Jian
Felicetti, Simone
Liu, Gang
Braak, Daniel
author_facet Ying, Zu-Jian
Felicetti, Simone
Liu, Gang
Braak, Daniel
author_sort Ying, Zu-Jian
collection PubMed
description The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second-order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system. We show that the QRM including a nonlinear coupling term exhibits much higher measurement precisions due to its first-order-like phase transition at finite frequency, avoiding the detrimental slowing-down effect close to the critical point of the linear QRM. When a bias term is added to the Hamiltonian, the system can be used as a fluxmeter or magnetometer if implemented in circuit QED platforms.
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spelling pubmed-93308172022-07-29 Critical Quantum Metrology in the Non-Linear Quantum Rabi Model Ying, Zu-Jian Felicetti, Simone Liu, Gang Braak, Daniel Entropy (Basel) Article The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second-order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system. We show that the QRM including a nonlinear coupling term exhibits much higher measurement precisions due to its first-order-like phase transition at finite frequency, avoiding the detrimental slowing-down effect close to the critical point of the linear QRM. When a bias term is added to the Hamiltonian, the system can be used as a fluxmeter or magnetometer if implemented in circuit QED platforms. MDPI 2022-07-22 /pmc/articles/PMC9330817/ /pubmed/35892995 http://dx.doi.org/10.3390/e24081015 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ying, Zu-Jian
Felicetti, Simone
Liu, Gang
Braak, Daniel
Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title_full Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title_fullStr Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title_full_unstemmed Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title_short Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
title_sort critical quantum metrology in the non-linear quantum rabi model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9330817/
https://www.ncbi.nlm.nih.gov/pubmed/35892995
http://dx.doi.org/10.3390/e24081015
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