超冷玻色气体中Fermi-Pasta-Ulam回复的量子阻尼
Quantum damping of Fermi-Pasta-Ulam revivals in ultracold Bose gases
摘要：
提出了一个利用超冷原子研究量子力学体系中Fermi-Pasta-Ulam（FPU）现象的实验方案。具体地说，我们建议和分析的一维玻色气体限制在一个光晶格的设置。量子涨落的强度通过调整每个晶格位置的原子数（填充因子）来控制。通过对Bose-哈伯德模型的实时动力学过程进行数值模拟，研究了量子涨落对FPU振荡的影响，发现强的量子涨落对FPU振荡有明显的阻尼作用.
英文摘要：
We propose an experimental scheme for studying the Fermi-Pasta-Ulam (FPU) phenomenon in a quantum mechanical regime using ultracold atoms. Specifically, we suggest and analyze a setup of one-dimensional Bose gases confined into an optical lattice. The strength of quantum fluctuations is controlled by tuning the number of atoms per lattice sites (filling factor). By simulating the real-time dynamics of the Bose-Hubbard model by means of the exact numerical method of time-evolving block decimation, we investigate the effects of quantum fluctuations on the FPU recurrence and show that strong quantum fluctuations cause significant damping of the FPU oscillation.
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