Probing out of equilibrium properties of strongly correlated cold atoms

这一提议涉及冷原子气体中的动力学现象。我们的目的是利用这些干净和可控的系统来理解非常冷的相互作用的多体系统对物理参数突然变化导致系统失去平衡的动力学响应。本研究的对象是光学晶格中的玻色子和费米子超冷原子。由于简谐禁闭导致的密度分布不均匀，导致量子相共存，从而产生丰富的动力学响应。一个重要的案例涉及低维原子系统。这里的分析结果是通过使用精确的统计物理方法(如Bethe Anatz)预期的动力学。最后，这些研究将包括原子在无序环境中的运动。对无序分布和原子相互作用的史无前例的控制将揭示无序玻色子这个长期存在的问题，并提供与凝聚态物理的解关联。除了对研究非平衡量子多体系统的基本兴趣外，这个项目还将提供与当前冷原子实验研究的联系，并最终将在精确测量、原子波导和量子信息处理领域产生可能的应用。

This proposal concerns the dynamical phenomena in cold atomic gases. Theobjective is to use these clean and controllable systems for understandingthe dynamical response of very cold interacting many body systems to a suddenchange of physical parameters driving the system out of equilibrium.The objects of this study will be bosonic and fermionic ultra-cold atoms inoptical lattices. The inhomogeneous density profile due to harmonicconfinement leads to coexistence of quantum phases and results in richdynamical response. An important case concerns atomic systems in lowdimensions. Here analytical results are for dynamics are expected by usingthe exact method of statistical physics, such as Bethe Ansatz. Finally, thesestudies will include atoms moving in disordered environment. Theunprecedented control on the distribution of disorder and atomic interactionswill shed light on the long standing problem of disordered bosons and provideconnection with condensed matter physics. Aside from the fundamental interest in studying non-equilibrium quantum manybody systems this project will provide links to current experimental studiesof cold atoms and eventually will result in possible applications in the areaof precise measurements, atomic waveguides and quantum informationprocessing.