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arXiv · 1702.00058

Quantum Information Metric and Berry Curvature from a Lagrangian Approach

Javier Alvarez-Jimenez·Aldo Dector·J. David Vergara
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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 introduce 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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Javier Alvarez-Jimenez, Aldo Dector, J. David Vergara. 2017-02-03. Quantum Information Metric and Berry Curvature from a Lagrangian Approach. https://doi.org/10.1007/jhep03(2017)044

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