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Fidelity susceptibility in Gaussian Random Ensembles

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arxiv 1812.04853 v2 pith:VFUUP4FZ submitted 2018-12-12 cond-mat.dis-nn cond-mat.stat-mechmath-phmath.MPquant-ph

Fidelity susceptibility in Gaussian Random Ensembles

Piotr Sierant , Artur Maksymov , Marek Ku\'s , Jakub Zakrzewski This is my paper
classification cond-mat.dis-nn cond-mat.stat-mechmath-phmath.MPquant-ph
keywords fidelitysusceptibilitygaussianquantumstatesanalyticallyappliedarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The fidelity susceptibility measures sensitivity of eigenstates to a change of an external parameter. It has been fruitfully used to pin down quantum phase transitions when applied to ground states (with extensions to thermal states). Here we propose to use the fidelity susceptibility as a useful dimensionless measure for complex quantum systems. We find analytically the fidelity susceptibility distributions for Gaussian orthogonal and unitary universality classes for arbitrary system size. The results are verified by a comparison with numerical data.

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