Universal properties of Fermi gases in one dimension
Universal properties of Fermi gases in one dimension
复制标题
一维费米气体的普遍性质
DOI：
10.1103/physreva.94.031604
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发表时间：
2016-03
影响因子：
2.9
通讯作者：
Guan Xi-Wen
中科院分区：
文献类型：
--
作者：
He Wen-Bin;Chen Yang-Yang;Zhang Shizhong;Guan Xi-Wen
在这一快速通信中，我们利用Bethe ansatz研究了一维自旋极化的两组分费米气体的普适性质。通过得到状态方程、接触、磁化率和接触极化率的精确结果，我们讨论了量子相变和相变，从而精确地理解了三维(3D)中玻色-爱因斯坦凝聚和Bardeen-Cooper-Schrieffer交叉的一维模拟及其相关的普适磁性。特别地，我们得到了低温下磁化率$\chi\sim{1}/{\Sqrt{T}}\exp(-\Delta/T)$的精确形式，其中$\Delta$是能隙，$T$是温度。此外，对于排斥和吸引的费米气体，我们建立了极化与接触的精确上下界。我们的发现强调了这对涨落在强相互作用的一维费米子系统中的作用，这可以揭示更高的维度。
In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for the equation of state, the contact, the magnetic susceptibility and the contact susceptibility, giving a precise understanding of the 1D analogue of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer crossover in three dimension (3D) and the associated universal magnetic properties. In particular, we obtain the exact form of the magnetic susceptibility $\chi \sim {1}/{\sqrt{T}}\exp(-\Delta/T)$ at low temperatures, where $\Delta$ is the energy gap and $T$ is the temperature. Moreover, we establish exact upper and lower bounds for the relation between polarization $P$ and the contact $C$ for both repulsive and attractive Fermi gases. Our findings emphasize the role of the pair fluctuations in strongly interacting 1D fermion systems that can shed light on higher dimensions.
影响因子：
15.1
作者：
M. Randeria;W. Zwerger;M. Zwierlein
通讯作者：
M. Randeria;W. Zwerger;M. Zwierlein
影响因子：
4.1
作者：
R. Stephenson
通讯作者：
R. Stephenson