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Physica A Statistical Mechanics and its Applications

Generation of pair cat states through two-mode degenerate Raman process

Shi-Biao Zheng

Published Nov 1, 1998• 4 citations
Publisher
DOI
10.1016/s0378-4371(98)00293-3

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Interaction of a V-type three-level atom with two mode fields is studied in detail. Under large-detuning condition, the ground state can be adiabatically eliminated, i.e., this model may be converted into a non-degenerate Raman coupled model which an effective two-level atom interacts with two mode cavity fields. We derive the modified effective Hamiltonian and their wave functions of both non-degenerate Raman coupled and a degenerate Raman coupled model respectively. Based on state-selective measurements on V-type three-level atoms crossing the cavity, We present a new scheme of generation of Schrdinger cat states which are made up of superposition of the coherent states with controllable weighting factors and phases, through Raman interaction of degenerate V-type three atoms with one cavity field.
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A proposal for realizing one- and two-mode degenerate Raman coupled models, of the type proposed by Knight [Phys. Scr. T 12, 51 (1986)] in the context of quantum optics, for the motion of a trapped two-level ion, is presented. The interaction has a dispersive effect on the vibrational motion of the ion. For the one-mode case, an initial vibrational coherent state evolves into superpositions of coherent states (Schr\"odinger-cat states) correlated with the internal states of the ion. In the two-mode case, with initial coherent states in each mode, entanglements of coherent states between the modes correlated with the internal ionic states are obtained. Detection of such states is briefly discussed.