Multicritical quantum sensors driven by symmetry-breaking

Fuente: arXiv
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Autores principales: Mondal, Sayan, Sahoo, Ayan, Sen, Ujjwal, Rakshit, Debraj
Formato: Preprint
Publicado: 2024
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author Mondal, Sayan
Sahoo, Ayan
Sen, Ujjwal
Rakshit, Debraj
author_facet Mondal, Sayan
Sahoo, Ayan
Sen, Ujjwal
Rakshit, Debraj
contents Quantum criticality has been demonstrated as a useful quantum resource for parameter estimation. This includes second-order, topological and localization transitions. In all these works reported so far, gap-to-gapless transition at criticality has been identified as a crucial resource for achieving the quantum-enhanced sensing, although there are several important concepts associated with criticality, such as long-range correlation, symmetry breaking. In this work, we show that symmetry-breaking alone can drive a quantum-enhanced sensing, even without any gap-to-gapless transition. We analytically demonstrate that the estimation of the superconducting pairing amplitude in the one-dimensional Kitaev model achieves Heisenberg scaling when the system is prepared near a multicritical point and is varied along a gapless critical line, implying symmetry breaking as a standalone metrological resource. Extending our analysis in the realm of simultaneous multiparameter estimation of both the pairing term and the chemical potential, we show that it is possible to obtain $L^6$ scaling in a narrow parameter range, but with definite observable consequence, where the quantum advantage is assisted by gap-to-gapless transition as well. Our work thus identifies a new resource for criticality-enhanced quantum sensing, and also suggests multicritical systems as useful platform for multiparameter sensing.
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id arxiv_https___arxiv_org_abs_2407_14428
institution arXiv
publishDate 2024
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spellingShingle Multicritical quantum sensors driven by symmetry-breaking
Mondal, Sayan
Sahoo, Ayan
Sen, Ujjwal
Rakshit, Debraj
Quantum Physics
Quantum Gases
Quantum criticality has been demonstrated as a useful quantum resource for parameter estimation. This includes second-order, topological and localization transitions. In all these works reported so far, gap-to-gapless transition at criticality has been identified as a crucial resource for achieving the quantum-enhanced sensing, although there are several important concepts associated with criticality, such as long-range correlation, symmetry breaking. In this work, we show that symmetry-breaking alone can drive a quantum-enhanced sensing, even without any gap-to-gapless transition. We analytically demonstrate that the estimation of the superconducting pairing amplitude in the one-dimensional Kitaev model achieves Heisenberg scaling when the system is prepared near a multicritical point and is varied along a gapless critical line, implying symmetry breaking as a standalone metrological resource. Extending our analysis in the realm of simultaneous multiparameter estimation of both the pairing term and the chemical potential, we show that it is possible to obtain $L^6$ scaling in a narrow parameter range, but with definite observable consequence, where the quantum advantage is assisted by gap-to-gapless transition as well. Our work thus identifies a new resource for criticality-enhanced quantum sensing, and also suggests multicritical systems as useful platform for multiparameter sensing.
title Multicritical quantum sensors driven by symmetry-breaking
topic Quantum Physics
Quantum Gases
url https://arxiv.org/abs/2407.14428