Nonlocality dynamics induced by a lamb-dicke nonlinearity in two dipole-coupled trapped ions under intrinsic decoherence

Abstract

In this paper, we explore the nonlinear dynamics of two dipole-coupled-trapped ions in the Lamb-Dicke regime. The dynamics of the generated two-trapped-ions correlations under intrinsic decoherence is quantified by Bell function, the uncertainty-induced nonlocality, and the concurrence. We investigate the effects of the Lamb-Dicke nonlinearity, the intrinsic decoherence, and the two-trapped-ions coupling. It is found that the two-trapped-ions state has different nonlocal correlations. These correlations can be controlled. In the absence of decoherence, the nonlocal correlations can be enhanced by the Lamb-Dicke nonlinearity and the two-trapped-ions coupling. The stable value and the sudden death-birth phenomenon of the entanglement can be apperceived due to the increase of the Lamb-Dicke nonlinearity. The intrinsic decoherence reduces and stabilizes the nonlocal correlations. They are more pronounced with large Lamb-Dicke values. The decoherence effects are reduced by the strong Lamb-Dicke nonlinearity. © 2022 The Author(s).

Keywords Decoherence, Dipole-Dipole Interaction, Nonlocal Correlations, Trapped Ions