论文标题
量子猝灭后持续的振荡：不均匀的情况
Persistent oscillations after quantum quenches: The inhomogeneous case
论文作者
论文摘要
我们先前表明，一维翻译系统中的量子淬灭会产生可观察到的局部观察状态的未阻尼振荡，当时淬灭状态包括单Quasiparticle模式，而可观察到的夫妻则可以在该模式下进行观察的夫妻[J. [J.物理。 A 47（2014）402001]。在这里，我们考虑破坏初始翻译不变性的淬火。专注于仅在整个系统间隔上执行的淬灭，我们通过分析确定局部观测值的时间演变，该局部观测值发生在截断的光锥体内发生，随着时间的增加而散布在淬灭间隔内。如果淬火激发了单次粒子模式，则与Quasiparticle质量的频率保持不稳定的振荡，直到随着淬灭间隔的长度增加，然后最终以$ t^{ - 1/2} $衰减。随着间隔的长度变为无穷大，没有阻尼的平移情况被恢复。
We previously showed that a quantum quench in a one-dimensional translation invariant system produces undamped oscillations of a local observable when the post-quench state includes a single-quasiparticle mode and the observable couples to that mode [J. Phys. A 47 (2014) 402001]. Here we consider quenches that break initial translation invariance. Focusing on quenches performed only on an interval of the whole system, we analytically determine the time evolution of local observables, which occurs inside a truncated light cone spreading away from the quenched interval as time increases. If the quench excites a single-quasiparticle mode, oscillations with the frequency of the quasiparticle mass stay undamped until a time increasing with the length of the quenched interval, before eventually decaying as $t^{-1/2}$. The translation invariant case with no damping is recovered as the length of the interval goes to infinity.
