6533b858fe1ef96bd12b64ff

RESEARCH PRODUCT

Multiparameter quantum critical metrology

Giovanni Di FrescoBernardo SpagnoloDavide ValentiAngelo Carollo

subject

first order quantum phase transitionquantum Fisher information matrixcontinuous quantum phase transitionQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi Matematicimultiparameter quantum metrologyquantumneFOS: Physical sciencesGeneral Physics and Astronomyscaling propertiesQuantum Physics (quant-ph)

description

Single parameter estimation is known to benefit from extreme sensitivity to parameter changes in quantum critical systems. However, the simultaneous estimation of multiple parameters is generally limited due to the incompatibility arising from the quantum nature of the underlying system. A key question is whether quantum criticality may also play a positive role in reducing the incompatibility in the simultaneous estimation of multiple parameters. We argue that this is generally the case and verify this prediction in paradigmatic quantum many-body systems close to first and second order phase transitions. The antiferromagnetic and ferromagnetic 1-D Ising chain with both transverse and longitudinal fields are analysed across different regimes and close to criticality.

https://doi.org/10.21468/scipostphys.13.4.077