Abstract
This paper provides a scheme for generating maximally entangled qubit states in the anti-Jaynes-Cummings interaction mechanism, so called entangled anti-polariton qubit states. We demonstrate that in an initial vacuum-field, Rabi oscillations in a cavity mode in the anti-Jaynes-Cummings interaction process, occur in the reverse sense relative to the Jaynes-Cummings interaction process and that time evolution of entanglement in the anti-Jaynes-Cummings interaction process takes the same form as in the Jaynes-Cummings interaction process. With the generated anti-polariton qubit state as one of the initial qubits, we present quantum teleportation of an atomic quantum state by applying entanglement swapping protocol achieving an impressive maximal teleportation fidelity~$F_\rho=1$.
Highlights
The basic model of quantized light-matter interaction describing a two-level atom coupled to a single mode of quantized electromagnetic radiation is the quantum Rabi model (QRM) [1] [2] [3] [4] [5] initially introduced by Rabi, Isidor Isaac [6] [7] to discuss the phenomenon of nuclear magnetic resonance in a semi-classical way
In this paper we have analysed entanglement of a two-level atom and a quantized electromagnetic field mode in an AJC qubit formed in the AJC interaction mechanism
The effect of sum-frequency parameter and photon number on the dynamical behavior of entanglement measured by von Neumann entropy was studied which brought a clear visualization of this interaction similar to the graphical representation on Bloch sphere
Summary
The basic model of quantized light-matter interaction describing a two-level atom coupled to a single mode of quantized electromagnetic radiation is the quantum Rabi model (QRM) [1] [2] [3] [4] [5] initially introduced by Rabi, Isidor Isaac [6] [7] to discuss the phenomenon of nuclear magnetic resonance in a semi-classical way. We observe that the failure of the JC interaction component to account for some experimental features characterised by blue-sideband transitions has driven various workers to apply numerical methods to probe the full QRM into the ultrastrong coupling (USC) and deep strong coupling (DSC) regimes [18] [19] [20] [21] [22] to indirectly monitor the dynamical effects of the AJC interaction component. Even such advanced approaches do not give explicitly the dynamical features generated solely by the AJC interaction.
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