Open AccessNONLOCALITY DYNAMICS INDUCED BY A LAMB–DICKE NONLINEARITY IN TWO DIPOLE-COUPLED TRAPPED IONS UNDER INTRINSIC DECOHERENCE
Author(s) -
AbdelHaleem AbdelAty,
A.-B.A. Mohamed,
Hichem Eleuch
Publication year - 2021
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x2240045x
Subject(s) - quantum decoherence , quantum nonlocality , physics , quantum entanglement , nonlinear system , quantum mechanics , ion , coupling (piping) , dipole , quantum electrodynamics , quantum , mechanical engineering , engineering
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.