Unconventional phases of attractive Fermi gases in synthetic Hall ribbons

Unconventional phases of attractive Fermi gases in synthetic Hall ribbons
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DOI:
10.1103/physreva.95.063612
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发表时间:
2017-03
期刊:
影响因子:
2.9
通讯作者:
S. Ghosh;S. Greschner;U. Yadav;T. Mishra;M. Rizzi;V. Shenoy
S. Ghosh;S. Greschner;U. Yadav;T. Mishra;M. Rizzi;V. Shenoy
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Ghosh;S. Greschner;U. Yadav;T. Mishra;M. Rizzi;V. Shenoy

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在冷原子系统中产生量子霍尔带的一种创新方法是在一维光学晶格中使用原子的M个超精细态来模拟额外的“合成维度”。这里值得注意的一点是,原子之间的SU(M)对称相互作用表现为沿着合成维度的“无限范围”。我们结合解析场论和数值密度矩阵重整化群方法研究了该系统中具有SU(M)对称吸引相互作用的费米子的多体物理。我们揭示了系统的丰富的基态相图,包括非常规的阶段,如压扁重子流体,揭示了低维多体物理。值得注意的是,改变参数需要有趣的交叉和过渡;例如,我们发现,增加磁场(产生霍尔效应)将低场下的“铁金属”状态转换为高场下的“压扁的重子超流体”(具有代数配对关联)。我们还表明,该系统提供了一个独特的机会,研究量子相分离的多味超冷费米子系统。
An innovative way to produce quantum Hall ribbons in a cold atomic system is to use M hyperfine states of atoms in a one-dimensional optical lattice to mimic an additional ``synthetic dimension.'' A notable aspect here is that the SU(M) symmetric interaction between atoms manifests as ``infinite ranged'' along the synthetic dimension. We study the many-body physics of fermions with SU(M) symmetric attractive interactions in this system using a combination of analytical field theoretic and numerical density-matrix renormalization-group methods. We uncover the rich ground-state phase diagram of the system, including unconventional phases such as squished baryon fluids, shedding light on many-body physics in low dimensions. Remarkably, changing the parameters entails interesting crossovers and transition; e.g., we show that increasing the magnetic field (that produces the Hall effect) converts a ``ferrometallic'' state at low fields to a ``squished baryon superfluid'' (with algebraic pairing correlations) at high fields. We also show that this system provides a unique opportunity to study quantum phase separation in a multiflavor ultracold fermionic system.