论文标题
边缘淬火和驱动器中的tomonaga-luttinger液体
Marginal quenches and drives in Tomonaga-Luttinger liquids
论文作者
论文摘要
我们研究了通过相互作用调制的形式的边缘变形从平衡中抛出的tomonaga-luttinger液体。这是通过淬火或定期驱动Luttinger参数或等效地将两个不同值之间的自由玻色子综合场理论的紧凑半径进行建模的。我们获得了Loschmidt Echo的演变和可观察到的粒子和能量密度等可观察到的分析结果。从通用初始状态开始，淬灭动力学被证明显示出复兴和时间正交性。对于周期性驱动器，我们显示出取决于驱动参数的时间进化物理量的稳定性或不稳定性。我们还通过非扰动地评估其rényi差异作为欧几里得淬火，比较了相应变形的热密度矩阵。所有动力学均显示出至关重要的取决于Luttinger参数的比率，这对应于边缘变形空间中的Zamolodchikov距离。在目标空间半径的瞬时变化时，我们的设置等效地解释为骨弦的动力学。
We study Tomonaga-Luttinger liquids thrown out of equilibrium by marginal deformations in the form of interaction modulations. This is modeled by quenching or periodically driving the Luttinger parameter or, equivalently, the compactification radius of the free boson conformal field theory between two different values. We obtain exact analytical results for the evolution of the Loschmidt echo and observables such as the particle and energy densities. Starting from generic initial states, the quench dynamics are shown to exhibit revivals and temporal orthogonalities. For the periodic drive, we show stability or instability of time-evolved physical quantities dependent on the drive parameters. We also compare the corresponding marginally deformed thermal density matrices by non-perturbatively evaluating their Rényi divergence as a Euclidean quench. All the dynamics are shown to be crucially dependent on the ratio of the Luttinger parameters, which corresponds to the Zamolodchikov distance in the space of marginal deformations. Our setup is equivalently interpreted as the dynamics of the bosonic string upon instantaneous changes of the target-space radius.
