arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1909.08618cond-mat.str-elcond-mat.quant-gashep-th
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临界Floquet系统中的突现黑洞动力学

Emergent Black Hole Dynamics in Critical Floquet Systems

Bastien Lapierre, Kenny Choo, Clément Tauber, Apoorv Tiwari, Titus Neupert, Ramasubramanian Chitra

摘要:

虽然受驱动的相互作用量子物质通常会受到加热和扰乱,但某些类别的系统会避开这种范式。我们研究这样一个特殊的类周期性驱动的临界(1 + 1)维系统的空间调制,但无序的时间演化算子。而不是完全混乱,系统的激励仍然是明确的。它们的传播类似于两个史瓦西黑洞在弯曲时空中沿光锥的演化。霍金温度作为区分加热和非加热阶段的序参量。在由霍金温度的倒数决定的时间尺度之外,激发被黑洞吸收,导致能量在它们的中心奇异地集中。我们在共形场论内分析地得到这些结果,利用到正弦平方变形场论的映射。此外,通过相互作用的XXZ自旋1/2链的数值计算,我们证明了我们的研究结果生存晶格正则化。

英文摘要:

While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. We study such an exceptional class in periodically driven critical (1 + 1)-dimensional systems with a spatially modulated, but disorder-free time evolution operator. Instead of complete scrambling, the excitations of the system remain well-defined. Their propagation is analogous to the evolution along light cones in a curved space-time obtained by two Schwarzschild black holes. The Hawking temperature serves as an order parameter which distinguishes between heating and non-heating phases. Beyond a time scale determined by the inverse Hawking temperature, excitations are absorbed by the black holes resulting in a singular concentration of energy at their center. We obtain these results analytically within conformal field theory, capitalizing on a mapping to sine-square deformed field theories. Furthermore, by means of numerical calculations for an interacting XXZ spin-1/2 chain, we demonstrate that our findings survive lattice regularization.

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