The quantum geometric tensor from generating functions

Abstract

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 theory with an arbitrary interaction Hamiltonian. The calculation uses the generating function method, and it is illustrated with the harmonic oscillator with a linear and a quartic perturbation.

19 pages

References in corpus (8)

• Ground state overlap and quantum phase transitions
• Fidelity approach to quantum phase transitions
• Gravity Dual of Quantum Information Metric
• Holographic Computations of the Quantum Information Metric
• Quantum Information Metric and Berry Curvature from a Lagrangian Approach
• Path integral approach to the quantum fidelity amplitude
• Geometrical Structures for Classical and Quantum Probability Spaces
• Entropy and Geometry of Quantum States

Cited by in corpus (4)

• Phase space formulation of the Abelian and non-Abelian quantum geometric tensor
• Geometry of the parameter space of a quantum system: Classical point of view
• Classical description of the parameter space geometry in the Dicke and Lipkin-Meshkov-Glick models
• Generalized quantum geometric tensor for excited states using the path integral approach