Emergent ballistic transport of Bose-Fermi mixtures in one dimension
Emergent ballistic transport of Bose-Fermi mixtures in one dimension
复制标题
一维玻色-费米混合物的紧急弹道输运
DOI：
10.1088/1751-8121/abc128
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发表时间：
2020
影响因子：
2.1
通讯作者：
Guan Xi-Wen
中科院分区：
文献类型：
--
作者：
Wang Sheng;Yin Xiangguo;Chen Yang-Yang;Zhang Yunbo;Guan Xi-Wen
一维简并玻色-费米（BF）混合物提供了一种在低温下具有玻色子和费米子自由度的两种解耦卢廷格液体的新实现。然而，这种去耦卢廷格电荷液体的输运性质却鲜为人知。本文报道了具有δ函数相互作用的一维BF混合物的输运性质。初始状态设为两个不同温度的1D BF混合物的半无限半，在时间t= 0，交接点x= 0连接在一起。利用Bethe ansatz解，我们首先严格证明了玻色子和费米子两个自由度的守恒电荷的存在性，并保留了欧拉型连续性方程。然后应用广义流体力学，解析地得到了仅依赖于比值ξ= x/t的局部守恒量的密度和电流的分布。左右移动的准粒子激发形成了多节段光锥流体力学，显示了不同自由度的守恒电荷密度和电流的弹道输运。这种剖面揭示了费米子和玻色子两种卢廷格液体在一维中的一种新的动力学分离。我们的分析结果提供了对相互作用和量子统计效应在量子输运中的作用的深刻理解。
The degenerate Bose–Fermi (BF) mixtures in one dimension present a novel realization of two decoupled Luttinger liquids with bosonic and fermionic degrees of freedom at low temperatures. However, the transport properties of such decoupled Luttinger liquids of charges is little known. Here we report on the transport properties of one-dimensional (1D) BF mixtures with delta-function interactions. The initial state is set up as the semi-infinite halves of two 1D BF mixtures with different temperatures, joined together at the time t= 0 and the junction point x= 0. Using the Bethe ansatz solution, we first rigorously prove the existence of conserved charges for both the bosonic and fermionic degrees of freedom, preserving the Euler-type continuity equations. Applying generalized hydrodynamics, we then analytically obtain the distributions of the densities and currents of the local conserved quantities which solely depend on the ratio ξ= x/t. The left and right moving quasiparticle excitations of the two halves form multiple segmented light-cone hydrodynamics that display ballistic transport of the conserved charge densities and currents in different degrees of freedom. Such profiles reveal a novel dynamical separation of the two Luttinger liquids of fermionic and bosonic atoms in 1D. Our analytical results provide a deep understanding of the role of interaction and quantum statistical effects in quantum transport.