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The European Physical Journal D

Dynamics of quantum discord in two Tavis-Cummings models with classical driving fields

Y. Q. Zhang, Jing‐Bo Xu

Published Aug 17, 2011• 5 citations
Publisher
DOI
10.1140/epjd/e2011-20012-9

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Eigenenergies and wave functions of the Tavis-Cummings system driven by an external classical coherent field

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We study the interaction of the atoms in the two-atom Tavis-Cummings (T-C) model under an external classical driving field. The eigenenergies - quasienergies and eigenstates of the T-C system driven by the external field are calculated i n the interaction picture. We also give the general wave function of the system in the Schrdinger picture. We show that the driving field does not change the energy levels of the T-C model, but makes the Fock states displaced. A stationar y state with a definite frequency in the normal two-atom T-C model is transform ed into the Fock states with infinite frequencies by the driving field.

Acta Physica Sinica•Jan 1, 2005•0 citations
Abstract We revisit the problem of the dynamics of quantum correlations in the Tavis–Cummings model. Our results show that the dynamics of entanglement and quantum discord are far from being trivial or intuitive. We find states with the same entanglement but different discord and states where the two quantifiers give opposite information about correlations at a certain time. We furthermore show that many of the dynamical features of quantum discord attributed to dissipation are already present in the exact framework and are due to the characteristic quantum nonlinearity of the model and to the choice of initial conditions. Through a comprehensive analysis of pure and mixed initial conditions, we find a fascinating range of phenomena that can be used for experimental purposes. We propose an experiment called quantum discord gates where for a given pure initial condition discord is zero or non-zero depending on the number of photons in the cavity. Given the marginal character of states with zero discord this result is not only completely counterintuitive but is also useful as a way to count photons.
We study the interaction of the atoms in the two-atom Tavis-Cummings (T-C) model under an external classical driving field. The eigenenergies - quasienergies and eigenstates of the T-C system driven by the external field are calculated i n the interaction picture. We also give the general wave function of the system in the Schrdinger picture. We show that the driving field does not change the energy levels of the T-C model, but makes the Fock states displaced. A stationar y state with a definite frequency in the normal two-atom T-C model is transform ed into the Fock states with infinite frequencies by the driving field.