论文标题
Luttinger液体中的一般相互作用淬灭
General interaction quenches in a Luttinger liquid
论文作者
论文摘要
我们讨论了由配对的骨体哈密顿量描述的luttinger液体中的一般相互作用淬灭。通过采用$ \ Mathsf {Su}（1,1）$ lie代数，分析得出了Quech后时间演变的波置函数，从中可以研究动量空间中纠缠的时间演变。我们注意到，根据Bogoliubov准粒子的选择，描述了随时间发展的配对状态的波形表达式可以采取不同的形式。讨论了动量空间中最大的纠缠特征值与淬灭动力学中的波函数重叠之间的对应关系，这概括了dóra{\ em et al}的结果[\ em et al} [2016，{\ em phys。 Rev. Lett。} \ TextBf {117}，010603]。通过精确的对角线化方法提出了XXZ晶格模型上的数值演示。
We discuss a general interaction quench in a Luttinger liquid described by a paired bosonic Hamiltonian. By employing $\mathsf{su}(1,1)$ Lie algebra, the post-quench time-evolved wavefunctions are obtained analytically, from which the time evolution of the entanglement in momentum space can be investigated. We note that depending on the choice of Bogoliubov quasiparticles, the expressions of wavefunctions, which describe time-evolved paired states, can take different forms. The correspondence between the largest entanglement eigenvalue in momentum space and the wavefunction overlap in quench dynamics is discussed, which generalizes the results of Dóra {\em et al} [2016, {\em Phys. Rev. Lett.} \textbf{117}, 010603]. A numerical demonstration on an XXZ lattice model is presented via the exact diagonalization method.
