论文标题
全息超流体的关键和临界放松
Critical and near-critical relaxation of holographic superfluids
论文作者
论文摘要
我们研究了淬灭后全息超流体的放松，当末端状态被调整为恰好处于临界点，或者非常接近它时。通过以数值方式求解运动的整体方程，我们证明在前一种情况下，系统表现出功率定律的损失以及新兴的离散量表不变性。后来的情况是在临界减速的政权中，我们表明在延迟时间指数下降开始之前存在一个中间的时间段，该系统的行为与其功率定律下降的临界点相似。我们进一步假设了一个现象学的毛皮类似方程，该方程能够对近临界淬火后的全息超流体的行为进行定量预测。有趣的是，描述非线性时间演化的现象学方程的所有参数都可以用静态平衡溶液和线性响应理论的信息固定。
We investigate the relaxation of holographic superfluids after quenches, when the end state is either tuned to be exactly at the critical point, or very close to it. By solving the bulk equations of motion numerically, we demonstrate that in the former case the system exhibits a power law falloff as well as an emergent discrete scale invariance. The later case is in the regime dominated by critical slowing down, and we show that there is an intermediate time-range before the onset of late time exponential falloff, where the system behaves similarly to the critical point with its power law falloff. We further postulate a phenomenological Gross-Pitaevskii-like equation that is able to make quantitative predictions for the behavior of the holographic superfluid after near-critical quenches. Intriguingly, all parameters of our phenomenological equation which describes the non-linear time evolution may be fixed with information from the static equilibrium solutions and linear response theory.
