Phase Transition In An Aubry-Andre System With A Rapidly Oscillating Magnetic Field
PHYSICAL REVIEW A(2016)
Abstract
We investigate a variant of the Aubry-Andre-Harper (AAH) model corresponding to a bosonic optical lattice of ultracold atoms under an effective oscillatory magnetic field. In the limit of high-frequency oscillation, the system maybe approximated by an effective time-independent Hamiltonian. We have studied localization-delocalization transition exhibited by the effective Hamiltonian. The effective Hamiltonian is found to retain the tight-binding tridiagonal form in position space. In a striking contrast to the usual AAH model, this non-dual system shows an energy-dependent mobility edge-a feature which is usually reminiscent of Hamiltonians with beyond-nearest-neighbor hoppings in real space. Finally, we discuss possibilities of experimentally realizing this system in optical lattices.
MoreTranslated text
Key words
phase,magnetic field,aubry-andr
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined