Dynamical critical quantum sensing with a single parametrically-driven nonlinear resonator

Abstract

Critical phenomena of quantum systems are useful for enhancement of quantum sensing. We here investigate the performance of a sensing scheme, where the signal is encoded in the dynamically-evolving state of an oscillator, featuring a competition of the Kerr nonlinearity and parametric driving. We calculate the quantum Fisher information, and perform a simulation, which confirms the criticality-enabled enhancement. We further detail the response of one of the quadratures to the variation of the control parameter. The numerical results reveal that its inverted variance exhibits a diverging behavior at the critical point.Comment: 6 pages, 7 figure