论文标题

隐藏的量子批判性和纠缠在淬灭动态中

Hidden Quantum Criticality and Entanglement in Quench Dynamics

论文作者

Paul, Sanku, Titum, Paraj, Maghrebi, Mohammad F.

论文摘要

纠缠在地面临界点附近表现出普遍的行为,这些临界点长期存在,热力学熵消失。另一方面,量子淬灭会赋予广泛的能量并导致熵的积累,因此长时间预计不会进行关键行为。在这项工作中,我们在可集成的旋转链的淬火动力学中提出了一个新的范式,该动力学在临界线上表现出地下阶订单disorder相变。具体而言,我们考虑沿临界线的淬灭,该淬火显示熵的体积法行为,并呈指数衰减的相关性。但是,我们表明,量子关键性隐藏在高阶相关性中,并通过诸如相互信息和对数否定性之类的措施来体现。此外,我们展示了不一堂区域之间的rényi互助信息的规模侵略性,以此作为真正的批判行为的进一步证据。我们将新兴的普遍性归因于尽管淬灭,但软模式的有效温度消失了。我们的结果适合在不同的量子模拟器平台上,尤其是Rydberg模拟器上实现实验性实现。

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a build-up of entropy, hence no critical behavior is expected at long times. In this work, we present a new paradigm in the quench dynamics of integrable spin chains which exhibit a ground-state order-disorder phase transition at a critical line. Specifically, we consider a quench along the critical line which displays a volume-law behavior of the entropy and exponentially decaying correlations; however, we show that quantum criticality is hidden in higher-order correlations and becomes manifest via measures such as the mutual information and logarithmic negativity. Furthermore, we showcase the scale-invariance of the Rényi mutual information between disjoint regions as further evidence for genuine critical behavior. We attribute the emerging universality to the vanishing effective temperature of the soft mode in spite of the quench. Our results are amenable to an experimental realization on different quantum simulator platforms, particularly the Rydberg simulators.

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