In this letter we present a strategy that combines the action of cavity damping mechanisms with that of an engineered atomic reservoir to drive an initial thermal distribution to a Fock equilibrium state. The same technique can be used to slice probability distributions in the Fock space, thus allowing the preparation of a variety of nonclassical equilibrium states. 42.50.Ct, 42.50.Dv The development of strategies to prepare nonclassical states [1] and, in particular, to circumvent their decoherence -via decoherence-free subspaces [2], dynamical decoupling [3], and reservoir engineering [4, 5]-have long played a significant role in quantum optics. On the conceptual side, the need for these states stems from their use in the study of fundamental quantum processes, such as decoherence [6] and the quantum to classical transition [7]. On the pragmatic side, the advent of quantum computation and communication -which depends strongly on successfully producing highly nonclassical states and ensuring their long-term coherence [8]-has certainly put extra pressure on researchers to implement efficient techniques of engineering and protection of nonclassical states. The proposition of schemes that enable the generation of nonclassical equilibrium states thus represents an ideal approach to the current challenges. In this regard, the reservoir engineering technique proposed in Ref. [4] and experimentally demonstrated in a trapped ion system [9] signals an important step toward the implementation of quantum information processes [8], a goal that has recently mobilized practically all areas of low-energy physics. Reservoir engineering,however, has major limitations, starting with the fact that it prevents, for example, the generation of Fock equilibrium states (a key goal of the present letter). Moreover, the protection of a particular state demands the (not-always-easy) engineering of a specific interaction which the system of interest is forced to perform with other auxiliary quantum systems.
We present a framework to engineer nonlinear selective Jaynes-Cummings interactions for one-, two-and three-photon transitions. Higher order transitions are also discussed. Numerical simulations are presented to prove the effectiveness of our scheme. We further analyse how to apply these selective interactions to deterministic step-by-step preparation of number states, even in the non-ideal situation where cavity losses and atomic spontaneous emission are considered. Finally, we present a scheme, derived from the engineered selective interactions, to delay the decoherence process of the prepared Fock state.
In this paper we propose a scheme for the preparation of steady entanglements in bosonic dissipative networks. We describe its implementation in a system of coupled cavities interacting with an engineered reservoir built up of three-level atoms. Emblematic bipartite (Bell and NOON) and multipartite (W -class) states can be produced with high fidelity and purity.
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