Monotone Riemannian metrics and dynamic structure factor in condensed matter physics
DOI10.1063/1.4955417zbMath1353.53017arXiv1509.06870OpenAlexW2206813881WikidataQ115333159 ScholiaQ115333159MaRDI QIDQ3185693
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Publication date: 4 August 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.06870
density matricessum rulesRiemannian manifoldsBures metricpartition functionsinteracting particle systemsquantum statistical mechanicsoperator monotone functionslinear response theorymetric structuredynamic structure factormixed quantum statesmonotone Riemannian metricsBogoliubov-Duhamel inner productBogoliubov-Kubo-Mori metric (BKM)Chernoff metricMorozova-Čencov metricquantum-information geometrysets of quantum statesthermodynamic mean valuesthermodynamic susceptibility
Interacting particle systems in time-dependent statistical mechanics (82C22) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Applications of local differential geometry to the sciences (53B50) General theory of distance geometry (51K05) Local Riemannian geometry (53B20) Local differential geometry (53B99) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)
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