We propose a simplified scheme to teleport a superposition of coherent states from one mode to another of the same bimodal lossy cavity. Based on current experimental capabilities, we present a calculation of the fidelity that can be achieved, demonstrating accurate teleportation if the mean photon number of each mode is at most 1.5. Our scheme applies as well for teleportation of coherent states from one mode of a cavity to another mode of a second cavity, both cavities embedded in a common reservoir.
We solve the problem of the temporal evolution of one of two-modes embedded in a same dissipative environment and investigate the role of the losses after the preparation of a coherent state in only one of the two modes. Based on current cavity QED technology, we present a calculation of the fidelity of a superposition of coherent states engineered in a bimodal high-Q cavity. Our calculation demonstrates that the engineered superposition retains coherence for large times when the mean photon number of the prepared mode is on the order of unity.Problems involving interaction of atoms and two modes of a electromagnetic field trapped into a high-Q cavity have increasingly received attention [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. From the theoretical point of view, bimodal cavities were considered in a number of papers. For example, in [1] the phenomena of a degenerate and nondegenerate two-mode squeezing for a generalized Jaynnes-Cummings model with a two-level atom was considered; in [2] the authors show how to prepare W states, GHZ states, and two-qutrit entangled states using the multi-atom two-mode entanglement; in [3,4,5] schemes for teleporting entangled state of zero-and -one photon state from a bimodal cavity to another were proposed; in [6,7] the authors show how to build bilinear and quadratic Hamiltonians, thus opening the possibility to implement up-and down-conversion operations in two mode cavity QED. Recently, experiments with coherent control of atomic collision and controlled entanglement in bimodal cavities have been reported [8,9], attracting even more attention to this topic.It is to be noted that all the above mentioned papers do not take into account the effect of the environment, which plays an important role mainly when the decoherence time has to be considered. Damping of two modes of a cavity QED has been considered in Refs.[12,13,14], all of them using the Liouville approach. In [12] the behavior of a two-level atom interacting with two modes of a light field in a cavity was investigated, and the effects of cavity damping were treated numerically for the special case of fields initially prepared in two mode squeezed vacuum state. In ref.[13] the authors studied the evolution of a two-level atom coupled to two modes of a dissipative cavity, and in ref.[14] the authors have investigated cross decay rates and robust (against dissipation) states in a system composed by two cavity modes in the presence of the same reservoir.
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