Figure 7 - available via license: Creative Commons Attribution 4.0 International
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Exponent γ − υ + υ ′ (red, transverse plane) in the region defined by υ ′ − υ ⩽ 0 and υ ′ < 1 + µ, compared with the value 1 (blue, horizontal plane).
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Critical behaviour in phase transitions is a resource for enhanced precision metrology. The reason is that the function, known as Fisher information, is superextensive at critical points, and, at the same time, quantifies performances of metrological protocols. Therefore, preparing metrological probes at phase transitions provides enhanced precisio...
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Context 1
... condition is compatible with the above constraints, including υ ′ − υ ⩽ 0, and the maximum exponent, i.e. γ, is reached for υ = υ ′ . Figure 7 shows the exponent γ − υ + υ ′ in the region defined by the constraints. Interestingly, also the exponent ν + υ + 2υ ′ − 2 ι can be larger than one, compatibly with the constraints, and its maximum is ν ≃ 1.3 when υ = υ ′ = ι = 0. Note that if we relax the assumption υ ′ < 1 + µ, we only have the first two integrals in the estimate (22) ...
