Ground-state fidelity in the BCS-BEC crossover

Abstract

The ground-state fidelity has been introduced recently as a tool to investigate quantum phase transitions. Here, we apply this concept in the context of a crossover problem. Specifically, we calculate the fidelity susceptibility for the BCS ground-state wave function, when the intensity of the fermionic attraction is varied from weak to strong in an interacting Fermi system, through the BCS-BEC crossover. Results are presented for contact and finite-range attractive potentials and for both continuum and lattice models. We conclude that the fidelity susceptibility can be useful also in the context of crossover problems.

8 pages, 4 figures

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• Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility
• Mass-Imbalanced Ionic Hubbard Chain
• Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
• Order parameter, correlation functions and fidelity susceptibility for the BCS model in the thermodynamic limit
• Quantum Information Approach to Bose-Einstein Condensate in a Tilted Double-Well System
• Investigating Dirty Crossover through Fidelity Susceptibility and Density of States