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International Journal of Theoretical Physics

Dynamical Properties of the Field In Generalized Photon-Added Pair Coherent State in the Jaynes-Cummings Model

Le Thi Hong Thanh, Truong Minh Duc

Published May 1, 2022• 8 citations
Publisher
DOI
10.1007/s10773-022-05111-z

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In this paper, we introduce a field-atom entangled state that represents the entanglement over time between a two-level atom and a field in a generalized photon-added pair coherent state in the Jaynes-Cummings model. This entangled state is applied for quantum teleportation of an unknown atomic state from a sender to a receiver that is geographically distant. Accordingly, we use an average fidelity criterion to quantify quantum teleportation processing. The results have shown that the process of teleportation is influenced by parameters such as initial field strength, the amplitude of a state to be teleported, and the number of added photons to two modes of the field. In addition, we also compare the success of teleportation in two cases of the field: the pair coherent state and the generalized photon-added pair coherent state.

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Abstract In this paper, we introduce a new non-Gaussian state called superposition of photon-added pair coherent state (SPAPCS) by superposition addition of photons to two modes of a pair coherent state (PCS). It is demonstrated that the SPAPCS has an enhanced non-Gaussian property by testing its Wigner function when increasing the number of photons added to two modes of the PCS. We use the field as a SPAPCS to study a dynamical entanglement in a dispersive two-mode Jaynes–Cummings model in dissipation atom-field interaction. We detect the dynamical entanglement degrees of the global system and subsystems by using the linear entropy criteria. The obtained results show the dynamical entanglement degrees can be enhanced by the phase damping effect as well as the superposition adding photons to two modes of the field in SPAPCS.
In this paper, we introduce a field-atom entangled state that represents the entanglement over time between a two-level atom and a field in a generalized photon-added pair coherent state in the Jaynes-Cummings model. This entangled state is applied for quantum teleportation of an unknown atomic state from a sender to a receiver that is geographically distant. Accordingly, we use an average fidelity criterion to quantify quantum teleportation processing. The results have shown that the process of teleportation is influenced by parameters such as initial field strength, the amplitude of a state to be teleported, and the number of added photons to two modes of the field. In addition, we also compare the success of teleportation in two cases of the field: the pair coherent state and the generalized photon-added pair coherent state.