Abstract
We take as a starting point an expression for the quantum geometric tensor recently derived in the context of the gauge/gravity duality. We proceed to generalize this formalism in such way it is possible to compute the geometrical phases of quantum systems. Our scheme provides a conceptually complete description and introduces a different point of view of earlier works. Using our formalism, we show how this expression can be applied to well-known quantum mechanical systems.
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Alvarez-Jimenez, J., Dector, A. & Vergara, J.D. Quantum information metric and Berry curvature from a Lagrangian approach. J. High Energ. Phys. 2017, 44 (2017). https://doi.org/10.1007/JHEP03(2017)044
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DOI: https://doi.org/10.1007/JHEP03(2017)044