论文标题
量子淬灭后PT对称的Luttinger液体的通用电导
Universal conductance of a PT-symmetric Luttinger liquid after a quantum quench
论文作者
论文摘要
我们研究了相互作用淬灭后PT对称Luttinger液体（LL）的非平衡动力学和转运。该系统以域墙初始状态制备。在量子淬灭至空间均匀的PT对称LL之后，域壁发展成一个平坦的中央区域，该区域比传统的Lieb-Robinson最大速度更快地传播弹道区域。通过评估常规灯酮内部的电流，我们发现了通用电导$ e^2/h $，对PT对称相互作用的强度不敏感。另一方面，通过与Hermitian LL Hamiltonian重复相同的演变，Hermitian互动将其重新归一化为$ e^2/hk $，$ k $ the ll参数。我们的分析结果经过数值测试，证实了非炎症领域中电导的通用性。
We study the non-equilibrium dynamics and transport of a PT-symmetric Luttinger liquid (LL) after an interaction quench. The system is prepared in domain wall initial state. After a quantum quench to spatially homogeneous, PT-symmetric LL, the domain wall develops into a flat central region that spreads out ballistically faster than the conventional Lieb-Robinson maximal speed. By evaluating the current inside the regular lightcone, we find a universal conductance $e^2/h$, insensitive to the strength of the PT-symmetric interaction. On the other hand, by repeating the very same time evolution with a hermitian LL Hamiltonian, the conductance is heavily renormalized by the hermitian interaction as $e^2/hK$ with $K$ the LL parameter. Our analytical results are tested numerically, confirming the universality of the conductance in the non-hermitian realm.
