Fidelity, susceptibility and critical exponents in the Dicke model

Abstract

We calculate numerically the fidelity and its susceptibility for the ground state of the Dicke model. A minimum in the fidelity identifies the critical value of the interaction where a quantum phase crossover, the precursor of a phase transition for finite number of atoms N, takes place. The evolution of these observables is studied as a function of N, and their critical exponents evaluated. Using the critical exponents the universal curve for the specific susceptibility is recovered. An estimate to the precision to which the ground state wave function is numerically calculated is given, and found to have its lowest value, for a fixed truncation, in a vicinity of the critical coupling.

9 Pages, 9 Figures, Proceedings of Nuclear Physics Symposium (Cocoyoc), IOP Conference Series in press

References in corpus (4)

• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Accurate numerical solution to the finite-size Dicke model
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Mathematical Methods in Quantum Optics: the Dicke Model

Cited by in corpus (5)

• Quantum geometric tensor and quantum phase transitions in the Lipkin-Meshkov-Glick model
• Circuit Complexity through phase transitions: consequences in quantum state preparation
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Quantum phase transition of two-level atoms interacting with a finite radiation field
• Superradiant Phase Transition and Statistical Properties in the Dicke-Stark Model