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arXiv:0711.1923 · Physics Letters A

Non-local dynamics of Bell states in separate cavities

Jun Jing, Zhiguo Lü, Guo-Hong Yang

Published Nov 26, 2007• 2 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2007.11.018

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We analytically investigate two separated qubits inside an open cavity field. The cavity is initially prepared in a superposition coherent state. The non-locality correlations [including trace norm measurement induced non-locality, maximal Bell-correlation, and concurrence entanglement] of the two qubits are explored. It is shown that, the generated non-locality correlations crucially depend on the decay and the initial coherence intensity of the cavity field. The enhancement of the initial coherence intensity and its superposition leads to increasing the generated non-locality correlations. The phenomena of sudden birth and death entanglement are found.
A pair of atoms interacting successively with the field of the same cavity and exchanging a single photon leave the cavity in an entangled state of Einstein-Podolsky-Rosen (EPR) type (see, for example, Phoenix S. J. D. and Barnett S. M., J. Mod. Opt. 40 (1993) 979). By implementing the model with the translational degrees of freedom, we show in this letter that the entanglement with the translational atomic variables can lead, under appropriate conditions, towards the separability of the internal variables of the two atoms. This implies that the translational dynamics can lead, in some cases, to difficulties in observing Bell's inequality violation for massive particles.
The four Bell states can be represented by separable coherent states which are products of individual non-hermitian spin operators. In the absence of interactions, the non-hermitian states are predicted to form a new quantum state of spin magnitude 1/sqrt(2) rather than 1/2. Properties of these states show that an isolated spin is a resonance state with zero net angular momentum, consistent with a point particle. In addition, the Bell states are shown to take on the identical mathematical form when the two spins are bound (local) or unbound (non-local). The bound Bell states are resonances between four states. When the separate, they do so from only one of its resonance states and their ensemble average defines the unbound Bell states. The bound and unbound Bell states have the same mathematical form due to the persistence of the rotationally invariance of sigma(1)dot sigma(2).