22 citations · 39 across the 3 of their papers we have counts for
4 papers
Classical description of the parameter space geometry in the Dicke and Lipkin-Meshkov-Glick models
Diego Gonzalez, Daniel Gutiérrez-Ruiz, J. David Vergara
We study the classical analog of the quantum metric tensor and its scalar curvature for two well-known quantum physics models. First, we analyze the geometry of the parameter space…
Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model
Daniel Gutiérrez-Ruiz, Diego Gonzalez, Jorge Chávez-Carlos +2
We study the quantum metric tensor and its scalar curvature for a particular version of the Lipkin-Meshkov-Glick model. We build the classical Hamiltonian using Bloch coherent stat…
Vertical extension of Noether Theorem for Scaling Symmetries
J. Antonio García, D. Gutiérrez-Ruiz, R. Abraham Sánchez-Isidro
The aim of this paper is to present a new approach to construct constants of motion associated with scaling symmetries of dynamical systems. Scaling maps could be symmetries of the…
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…