Quantum geometry, especially the quantum metric, is surveyed as a unifying framework for a wide range of transport and optical phenomena, with experimental confirmation in several materials.
The differential information-geometry of quantum phase transitions
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abstract
The manifold of coupling constants parametrizing a quantum Hamiltonian is equipped with a natural Riemannian metric with an operational distinguishability content. We argue that the singularities of this metric are in correspondence with the quantum phase transitions featured by the corresponding system. This approach provides a universal conceptual framework to study quantum critical phenomena which is differential-geometric and information-theoretic at the same time.
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Quantum Geometry Phenomena in Condensed Matter Systems
Quantum geometry, especially the quantum metric, is surveyed as a unifying framework for a wide range of transport and optical phenomena, with experimental confirmation in several materials.