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Bulletin of the American Physical Society

Collective state signatures in quantum correlations of Cavity QED

Pablo Barberis-Blostein, H. J. Carmichael, Luis A. Orozco

Published Jun 7, 2012• 0 citations
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We study the nonlocality dynamics for two models of atoms in cavity quantum electrodynamics (QED); the first model contains atoms in a single cavity undergoing nearest-neighbor interactions with no initial correlation, and the second contains atoms confined in n different and noninteracting cavities, all of which were initially prepared in a maximally correlated state of n qubits corresponding to the atomic degrees of freedom. The nonlocality evolution of the states in the second model shows that the corresponding maximal violation of a multipartite Bell inequality exhibits revivals at precise times, defining, nonlocality sudden deaths and nonlocality sudden rebirths , in analogy with entanglement. These quantum correlations are provided analytically for the second model to make the study more thorough. Differences in the first model regarding whether the array of atoms inside the cavity is arranged in a periodic or open fashion are crucial to the generation or redistribution of quantum correlations. This contribution paves the way to using the nonlocality multipartite correlation measure for describing the collective complex behavior displayed by slightly interacting cavity QED arrays.
Many-body cavity QED experiments are established platforms to tailor and control the collective responses of ensembles of atoms, interacting through one or more common photonic modes.The rich diversity of dynamical phases they can host calls for a unified framework.Here we commence this program by showing that a cavity QED simulator assembled from N-level bosonic atoms can reproduce and extend the possible dynamical responses of collective observables occurring after a quench.Specifically, by initializing the atoms in classical or quantum states, or by leveraging intralevels quantum correlations, we craft on demand the entire synchronization/desynchronization dynamical crossover of an exchange model for SU(N) spins.We quantitatively predict the onset of different dynamical responses by combining the Liouville-Arnold theorem on classical integrability with an ansatz for reducing the collective evolution to an effective few-body dynamics.Among them, we discover a synchronized chaotic phase induced by quantum correlations and associated to a first-order nonequilibrium transition in the Lyapunov exponent of collective atomic dynamics.Our outreach includes extensions to other spin-exchange quantum simulators and a universal conjecture for the dynamical reduction of nonintegrable all-to-all interacting systems.