Ground-state fidelity in the BCS-BEC crossover

Details Ground-state fidelity in the BCS-BEC crossover Ground-state fidelity in the BCS-BEC crossover

2009-05-13

arxiv.org/abs/0905.2165v1

Phys. Rev. A, 80, 012303 (2009)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevA.80.012303

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.

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