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Geometry of the parameter space of a quantum system: Classical point of view
Javier Alvarez-Jimenez, Diego Gonzalez, Daniel Gutiérrez-Ruiz +1
The local geometry of the parameter space of a quantum system is described by the quantum metric tensor and the Berry curvature, which are two fundamental objects that play a cruci…
The quantum geometric tensor from generating functions
J. Alvarez-Jiménez, J. David Vergara
We introduce a new method to compute the Quantum Geometric Tensor, this procedure allows us to compute the Quantum Information Metric and the Berry curvature perturbatively for a t…
Gauge Invariance and the Quantum Metric Tensor
J. Alvarez-Jimenez, J. D. Vergara
The quantum metric tensor was introduced for defining the distance in the parameter space of a system. However, it is also useful for other purposes, like predicting quantum phase…