Ivanov, P. A.Porras Torres, Diego2023-06-192023-06-192013-08-021050-294710.1103/PhysRevA.88.023803https://hdl.handle.net/20.500.14352/35597©2013 American Physical Society We thank K. Singer, S. Dawkins, and P. O. Schmidt for useful discussions. This work was supported by Bulgarian NSF Grants No. DMU-03/107 and No. NSF D002-90/08, Spanish projects QUITEMAD (S2009-ESP-1594), RyC Contract No. Y200200074, and European COST Action MP IOTA 1001.We show that the quasiadiabatic evolution of a system governed by the Dicke Hamiltonian can be described in terms of a self-induced quantum many-body metrological protocol. This effect relies on the sensitivity of the ground state to a small symmetry-breaking perturbation at the quantum phase transition, which leads to the collapse of the wave function into one of two possible ground states. The scaling of the final-state properties with the number of atoms and with the intensity of the symmetry-breaking field can be interpreted in terms of the precession time of an effective quantum metrological protocol. We show that our ideas can be tested with spin-phonon interactions in trapped ion setups. Our work points to a classification of quantum phase transitions in terms of the capability of many-body quantum systems for parameter estimation.engjournal articlehttp:// dx.doi.org/10.1103/PhysRevA.88.023803https://www.google.esopen access51Trapped ionsPhase-transitionDicke-modelStatesSpectroscopySimulationsAtomsFieldFísica (Física)22 Física