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Chinese Physics Letters

Spin-charge Separation of the Luttinger Model after an Interaction Quench

Zhou Zhou, Zong-Li, Zhang, Guoshun, Lou, Ping Ping

Published Jan 1, 2010• 1 citation
OpenAlex

Abstract

费米子在相互作用以后被考虑的 spin-1/2 的一个 Luttinger 模型突然在时间 t = 被打开 0。借助于 bosonization 技术，我们评估经分解一个粒子关联详细工作，主要包含相等时间的关联和增殖者。为这个 spinful 非平衡系统管理相等时间的关联的幂定律行为的批评代表被获得。与出版结果比较，在 spinful 和无纺纱的非平衡系统的关联的批评代表之间的差别被发现并且解释。而且，增殖者在这个非平衡系统从另外的相等时间的关联展出不同幂定律行为，这被发现。[从作者抽象]

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费米子在相互作用以后被考虑的 spin-1/2 的一个 Luttinger 模型突然在时间 t = 被打开 0。借助于 bosonization 技术，我们评估经分解一个粒子关联详细工作，主要包含相等时间的关联和增殖者。为这个 spinful 非平衡系统管理相等时间的关联的幂定律行为的批评代表被获得。与出版结果比较，在 spinful 和无纺纱的非平衡系统的关联的批评代表之间的差别被发现并且解释。而且，增殖者在这个非平衡系统从另外的相等时间的关联展出不同幂定律行为，这被发现。[从作者抽象]
基于我们考虑由二断开的 Luttinger 液体组成的 spinful 系统的地理论的 bosonization，它在时间 t = 被联合 0 通过 chiral 密度密度相互作用。我们借助于 bosonization 和 Bogoliubov 转变在这个 1D 系统显示出著名纺纱费用分离。评估经分解一个粒子相等时间的关联功能， Cazalilla 的方法被扩大到纺纱费用部门。在关联的行为不与平衡的与一致的长时间限制，二的相等时间的关联联合了 spinful Luttinger 液体，这被发现。以便与试验性的结果作比较，管理非平衡系统的相等时间的关联的幂定律行为的改进代表在这个工作的结束被获得。
A Luttinger model of spin-½ fermions is considered after the interaction is suddenly switched on at time t = 0. By means of the bosonization technique, we evaluate analytically the one-particle correlation functions in detail, mainly involving equal-time correlations and propagators. The critical exponent which governs the power-law behavior of equal-time correlations for this spinful non-equilibrium system is obtained. In comparison with the published results, the difference between critical exponents of correlations in spinful and spinless non-equilibrium systems is found and explained. Furthermore, it is found that the propagator exhibits different power-law behavior from other equal-time correlations in this non-equilibrium system.
We study operator correlations of a spinful Luttinger liquid after introducing a non-Hermitian interaction quench, yielding supersonic modes and dominant superconducting correlations as signatures of the nonunitary dynamics as well as spin-charge separation. A comparative analysis with the Hermitian counterpart, i.e., when the quench is Hermitian, shows a significant difference in the behavior of the model. We derive exact expressions for different operator correlations and show that the superconducting correlations decay slower than the charge and spin density wave correlations, especially within the short-time limit, and at the long-time limit all the operator correlations merge differed only by phase factors in the case of non-Hermitian interaction quench whereas they do not merge in the case of Hermitian interaction quench. In both cases known Luttinger liquid universality is retained at the long-time limit. We also analyze how the dynamics of operator correlations vary in the presence of anisotropy in the quenching parameters.
We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered to see its influence on the spin-charge separation. It is shown that the charge velocity is larger than the spin velocity for the system of on-site repulsive interaction (Luttinger liquid), and vise versa for the system of on-site attractive interaction (Luther-Emery liquid). We find that both the interaction quench and polarization suppress the spin-charge separation.