Critical Quantum Metrology with a Finite-Component Quantum Phase Transition

Louis Garbe, Matteo Bina, Arne Keller, Matteo G. A. Paris, and Simone Felicetti
Phys. Rev. Lett. 124, 120504 – Published 27 March 2020
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Abstract

Physical systems close to a quantum phase transition exhibit a divergent susceptibility, suggesting that an arbitrarily high precision may be achieved by exploiting quantum critical systems as probes to estimate a physical parameter. However, such an improvement in sensitivity is counterbalanced by the closing of the energy gap, which implies a critical slowing down and an inevitable growth of the protocol duration. Here, we design different metrological protocols that exploit the superradiant phase transition of the quantum Rabi model, a finite-component system composed of a single two-level atom interacting with a single bosonic mode. We show that, in spite of the critical slowing down, critical quantum optical probes can achieve a quantum-enhanced time scaling of the sensitivity in frequency-estimation protocols.

  • Figure
  • Received 15 November 2019
  • Accepted 5 March 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.120504

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

Louis Garbe1, Matteo Bina2, Arne Keller1,3, Matteo G. A. Paris2, and Simone Felicetti4,*

  • 1Université de Paris, Laboratoire Matériaux et Phénomènes Quantiques UMR 7162, CNRS, 75013, Paris, France
  • 2Quantum Technology Lab, Dipartimento di Fisica Aldo Pontremoli, Università degli Studi di Milano, I-20133 Milano, Italy
  • 3Université Paris-Saclay, 91405 Orsay, France
  • 4Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, Spain

  • *Corresponding author. simone.felicetti@cnr.it

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Issue

Vol. 124, Iss. 12 — 27 March 2020

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