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Critical Quantum Metrology with a Finite-Component Quantum Phase Transition
Louis Garbe1, Matteo Bina2, Arne Keller1,3
1Université de Paris, Laboratoire Matériaux et Phénomènes Quantiques UMR 7162, CNRS, 75013, Paris, France.
Physical Review Letters
|April 14, 2020
Summary
Quantum critical systems offer high precision for parameter estimation. This study shows quantum optical probes can achieve enhanced sensitivity scaling, overcoming critical slowing down in frequency estimation protocols.
Area of Science:
- Quantum physics
- Quantum metrology
- Quantum optics
Background:
- Quantum phase transitions lead to divergent susceptibility, enabling high precision measurements.
- Critical slowing down near phase transitions typically increases protocol duration, limiting practical applications.
Purpose of the Study:
- To design metrological protocols utilizing the superradiant phase transition.
- To investigate the feasibility of quantum critical probes for parameter estimation, specifically frequency estimation.
Main Methods:
- Exploiting the superradiant phase transition of the quantum Rabi model.
- Designing and analyzing quantum metrological protocols for frequency estimation.
Main Results:
- Demonstrated that quantum critical probes can achieve enhanced time scaling of sensitivity.
- Showcased that this enhancement is possible despite the presence of critical slowing down.
Conclusions:
- Quantum critical optical probes offer a pathway to overcome limitations imposed by critical slowing down.
- These probes can achieve quantum-enhanced sensitivity scaling in frequency estimation protocols.

