Possible quantum phase-manipulation of a two-leg ladder in mixed-dimensional fermionic cold atoms
Possible quantum phase-manipulation of a two-leg ladder in mixed-dimensional fermionic cold atoms
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DOI：
10.1103/physreva.87.031603
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发表时间：
2013-01
影响因子：
2.9
通讯作者：
Wen Huang;Kyle Irwin;S. Tsai
中科院分区：
文献类型：
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作者：
Wen Huang;Kyle Irwin;S. Tsai
美国加州大学河滨分校物理与天文学系，CA 92521（日期：2013年12月12日）最近实现的冷原子混合维系统引起了实验学家和理论家的广泛关注。在这些系统中可以设计出不同的有效相互作用和新的相关量子多体相，不同的相可以通过外部参数进行调节。在本文中，我们研究了两种费米原子混合物：一种原子存在于两个超精细状态中，并被限制在两条腿梯中运动，在现场相互作用中相互作用，另一种原子在包含两条腿梯的二维方形晶格中自由运动。这两种原子通过梯子上的现场相互作用相互作用。在弱种间相互作用的限制下，二维气体可以被整合出来，导致有效的远距离介导相互作用，这是由现场种间相互作用产生的。研究表明，二维气体的密度可以控制中介相互作用的形式，并增强了重整化群变换后两腿阶梯中电荷密度波的不稳定性。通过参数化具有各种实验可控制量的相图，讨论了混合维费米子冷原子系统中两腿梯宏观量子体相的可能调谐。
Department of Physics and Astronomy, University of California, Riverside, CA 92521, USA.(Dated: December 12, 2013)The recent realization of mixed-dimensional systems of cold atoms has attracted much attentionfrom both experimentalists and theorists. Different effective interactions and novel correlated quan-tum many-body phases may be engineered in these systems, with the different phases being tunablevia external parameters. In this article we investigate a two-species Fermi atom mixture: one speciesof atom exists in two hyperfine states and is confined to move in a two-leg ladder, interacting withan on-site interaction, and the other moves freely in a two dimensional square lattice that containsthe two-leg ladder. The two species of atoms interact via an on-site interaction on the ladder. In thelimit of weak inter-species interactions, the two-dimensional gas can be integrated out, leading toan effective long-range mediated interaction in the ladder, generated by to the on-site inter-speciesinteraction. We show that the form of the mediated interaction can be controlled by the density ofthe two-dimensional gas and that it enhances the charge density wave instability in the two-leg lad-der after the renormalization group transformation. Parameterizing the phase diagram with variousexperimentally controllable quantities, we discuss the possible tuning of the macroscopic quantummany-body phases of the two-leg ladder in this mixed-dimensional fermionic cold atom system.