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arXiv 1301.2803cond-mat.quant-gasquant-ph
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噪声光晶格中玻色原子的加热动力学

Heating dynamics of bosonic atoms in a noisy optical lattice

Hannes Pichler, Johannes Schachenmayer, Andrew J. Daley, Peter Zoller

摘要:

我们分析了光晶格中相互作用玻色子原子由于形成晶格的激光强度起伏而被加热的情况。我们特别关注的是在带隙频率以下的低频波动,这样的动态被限制在最低频段。我们推导出随机运动方程,并分析了不同的多体状态的影响,在强相互作用和弱相互作用制度的加热过程的特点。在噪声频谱在低频处平坦的极限中,我们可以导出描述动态的有效主方程。我们计算加热率和变化的特征关联函数都在微扰理论的限制,并使用一个完整的时间依赖计算的随机多体动力学在一维的时间依赖密度矩阵重整化群方法的基础上。

英文摘要:

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low frequencies below the band gap frequency, such that the dynamics is restricted to the lowest band. We derive stochastic equations of motion, and analyze the effects on different many-body states, characterizing heating processes in both strongly and weakly interacting regimes. In the limit where the noise spectrum is flat at low frequencies, we can derive an effective Master equation describing the dynamics. We compute heating rates and changes to characteristic correlation functions both in the perturbation theory limit, and using a full time-dependent calculation of the stochastic many-body dynamics in 1D based on time-dependent density-matrix-renormalization-group methods.

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