1Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081 2Department of Physics and Mathematics, Hunan Institute of Technology, Hengyang 421002
Abstract：We use linear entropy of an exact quantum state to study the entanglement between internal electronic states and external motional states for a two-level atom held in an amplitude-modulated and tilted optical lattice. Starting from an unentangled initial state associated with the regular 'island' of classical phase space, it is demonstrated that the quantum resonance leads to entanglement generation, the chaotic parameter region results in the increase of the generation speed, and the symmetries of the initial probability distribution determine the final degree of entanglement. The entangled initial states are associated with the classical 'chaotic sea', which do not affect the final entanglement degree for the same initial symmetry. The results may be useful in engineering quantum dynamics for quantum information processing.
Hensinger W K, Haffner H, Browaeys A, Heckenberg N R, Helmerson K, McKenzie C, Milburn G J, Phillips W D, Rolston S L, Rubinsztein-Dunlop H and Upcroft B 2001 Nature412 52
2016, Vol. 33 
