Quantum criticality of a one-dimensional attractive Fermi gas
Quantum criticality of a one-dimensional attractive Fermi gas
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DOI：
10.1103/physreva.84.023616
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发表时间：
2010-10
影响因子：
2.9
通讯作者：
X. Guan;T. Ho
中科院分区：
文献类型：
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作者：
X. Guan;T. Ho
我们获得了当前实验中所有参数区域的一维强吸引费米气体的解析状态方程。从状态方程出发，我们导出了控制量子临界区全部物理性质的普适标度函数，阐明了量子临界性的物理起源。结果表明，系统的临界性质可以用自由费米子的临界性质和质量为m和2m的费米子的临界性质来描述。我们还展示了如何从有限温度下被困费米气体的密度分布中揭示散装系统的这些临界性质，并可用于确定T=0相边界而没有任何任意性。
We obtain an analytical equation of state for one-dimensional strongly attractive Fermi gases for all parameter regimes in current experiments. From the equation of state, we derive universal scaling functions that control whole thermodynamical properties in quantum critical regimes and illustrate the physical origin of quantum criticality. It turns out that the critical properties of the system are described by those of free fermions and those of mixtures of fermions with masses m and 2m. We also show how these critical properties of bulk systems can be revealed from the density profile of trapped Fermi gases at finite temperatures and can be used to determine the T=0 phase boundaries without any arbitrariness.