In- and out-of-equilibrium quantum metrology with mean-field quantum criticality.

Autor: Wald S; Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany., Moreira SV; Centro de Ciências Naturais e Humanas, Universidade Federal do ABC-UFABC, Santo André, Brazil., Semião FL; Centro de Ciências Naturais e Humanas, Universidade Federal do ABC-UFABC, Santo André, Brazil.
Jazyk: angličtina
Zdroj: Physical review. E [Phys Rev E] 2020 May; Vol. 101 (5-1), pp. 052107.
DOI: 10.1103/PhysRevE.101.052107
Abstrakt: We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level. First, we focus on equilibrium quantum criticality in the SQS and obtain the quantum Fisher information analytically, which is associated with the minimum lower bound for the precision of estimation of the parameter driving the phase transition. We compare it with the Fisher information for a specific experimental scenario where photon-counting-like measurements are employed. We find how quantum criticality and squeezing are useful resources in the metrological scenario. Second, we obtain the quantum Fisher information for the out-of-equilibrium transition in the dissipative nonequilibrium steady state and investigate how the presence of dissipation affects the parameter estimation. In this scenario, it is known that the critical point is shifted by an amount which depends on the dissipation rate. This is used here to design high precision protocols for a whole range of the transition-driving parameter in the ordered phase. In fact, for certain values of the parameter being estimated, dissipation may be used to obtain higher precision when compared to the equilibrium scenario.
Databáze: MEDLINE