Publication: Adiabatic quantum metrology with strongly correlated quantum optical systems
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2013-08-02
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American Physical Society
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Abstract
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.
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©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.