Light-Induced Hofstadter's Butterfly Spectrum in Optical Lattices

我们建议一个计划创造一个有效磁场，它能被冷中立原子在一个二维的光格子察觉，与有一个空间依赖者阶段的一块激光地和在 Λ-type 上扮演三水平的原子的一块常规激光地。什么时候尺寸更少参数 α ，是通过到一流动量的一个格子房间的流动的比率，是合理的，能量光谱显示出分数维的乐队结构，它是所谓的霍夫施塔特的蝴蝶。

Unconventional Landau Levels of Ultracold Fermionic Atoms on Two-Dimensional Honeycomb Lattice

We investigate the unconventional Landau levels of ultracold fermionic atoms on the two-dimensionalhoneycomb optical lattice subjected to an effective magnetic field,which is created with optical means.In the presenceof the effective magnetic field,the energy spectrum of the unconventional Landau levels is calculated.Furthermore,wepropose to detect the unconventional Landau levels with Bragg scattering techniques.

Unconventional Energy Bands and Chirality of Ultracold Atoms in Trilayer Honeycomb Lattice

We investigate ultracold fermionic atoms in the trilayer honeycomb lattice.In the low energy approximation,we derive an effective Hamiltonian for pseudospins.The energy spectrum shows a cubic form of the wavevector andis gapless.The quasiparticles and quasiholes are chiral and show Berry's phase π when the wavevector adiabaticallyevolves along a closed circle.Furthermore,the experimental detection of the energy spectrum is proposed with Braggscattering techniques.

Excitation Spectrum of Spin-1 Bosonic Atoms in an Optical Lattice with High Filling Factors

格林“ s 功能和在一个光格子的 spin-1cold 原子的高顺序的 correiation 功能被定义。因为我们与高充满因素在一个光格子考虑 spin-1 Bosecondensed 原子的问题，即， Bosecondensed 原子 n_0 的数字密度大，他们的变化能被忽视，我们拿 mean-fieldapproximation 高顺序的术语。为极的盒子和铁磁性的盒子的刺激系列被获得并且分析。

Excitation Spectrum of Spin-1 Bosonic Atoms in Mott Insulating Phase

为在一个光格子的 spin-1 bosonic 原子的有效行动被导出。伪粒子和 quasihoie 分散被使用一个功能的不可分的形式体系为不同案例计算。为所有情况，刺激系列被分析。所有 thequasiparticle 和伪洞刺激以差距开始。

su(1,2) Algebraic Structure of XYZ Antiferromagnetic Model in Linear Spin-Wave Frame

在线性纺纱波浪框架的铁磁性的模型明确地被给看有 su (1,2 ) 的 XYZ 反代数学的结构：Hamiltonian 能作为 su (1,2 ) 的线性功能被写代数学发电机。基于它，精力特征值被使用类似的转变，和代数学的 diagonalization 方法获得被调查。一些数字答案被给，并且结果显示一个仅仅组答案能在物理被接受。

Collective Excitations in Spin-2 Bose-Einstein Condensates

The Green's functions and the correlation functions in spin-2 Bose-Einstein condensates at finite temperature are defined and the generalized Dyson-Beliaev equations are introduced. We discuss the spin conservation in z direction and decouple thre Green's functions and the generalized Dyson-Beliaev equations according to different spin conservations in z direction. The anomalous vertex functions are introduced and the self-energies are separated into the proper self-energies and the improper self-energies. The generalized Dyson-Beliaev equations are decoupled according to separation of the self-energies. We calculate the Green's functions step by step in the Bogoliubov approximation and discuss the collective excitations in spin-2 Bose-Einstein condensates in the polar, ferromagnetic, and cyclic cases,respectively.