# On the relation between the monotone Riemannian metrics on the space of Gibbs thermal states and the linear response theory

@inproceedings{STonchev2021OnTR, title={On the relation between the monotone Riemannian metrics on the space of Gibbs thermal states and the linear response theory}, author={Nicholay S.Tonchev}, year={2021} }

The proposed in J. Math. Phys. v.57,071903 (2016) analytical expansion of monotone (contractive) Riemannian metrics (called also quantum Fisher information(s)) in terms of moments of the dynamical structure factor (DSF) relative to an original intensive observable is reconsidered and extended. The new approach through the DSF which characterizes fully the set of monotone Riemannian metrics on the space of Gibbs thermal states is utilized to obtain an extension of the spectral presentation… Expand

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