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摘要翻译：
我们考虑了具有外部俘获势的光晶格中的超冷bosonic原子。为了研究玻色-哈伯德模型的激发能，我们发展了一种基于Gutzwiller Ansatz的含时推广的方法。我们计算了均匀系统在绝缘体和超流区的激励，特别是在超流-Mott绝缘体边界附近的激励。用该方法得到了存在静态谐波陷阱时的低激发能，并与均匀情况进行了比较。在此基础上，我们研究了陷阱的质心和呼吸模式在随时间变化的扰动下的动力学特性。
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英文标题：
《Excitation Spectra of Correlated Lattice Bosons in a Confining Trap》
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作者：
Dmitry L. Kovrizhin (Clarendon Laboratory, University of Oxford) G.
Venketeswara Pai (Technion) Subhasis Sinha (S.N. Bose National Centre for
Basic Sciences)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We consider ultracold bosonic atoms in an optical lattice with an external trapping potential. To study the excitation energies of the resulting Bose-Hubbard model, we develop a method based on a time-dependent generalization of the Gutzwiller ansatz. We calculate the excitations of the homogeneous system both in insulating and superfluid regime, concentrating particularly on those near the superfluid-Mott insulator boundary. Low-lying excitation energies in presence of a static harmonic trap are obtained using this method and compared with the homogeneous case. Further, we explore the dynamics of the center of mass and the breathing mode in response to time-dependent perturbations of the trap.
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PDF链接：
https://arxiv.org/pdf/707.2937
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