量子自旋系统中动态黑洞形成所自发产生的霍金辐射
Spontaneous Hawking Radiation from Dynamical Black-Hole Formation in Quantum Spin Systems
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中文总结 AI 辅助
本研究在局域量子自旋模型中实现动态黑洞形成所自发产生的霍金辐射，通过Bogoliubov混合推导局域能量密度，并以自旋可观测量定量重现连续预言，为弯曲时空量子场论的量子模拟提供微观途径。
中文摘要 AI 辅助
我们证明，由动态黑洞形成所自发产生的霍金辐射可以在一个局域量子自旋模型中实现。从对应于早期真空的基态出发，且没有初始制备的激发，我们跟踪由演化几何所引发的动力学。在相应的连续量子场论中，霍金粒子产生与入模和出模分解之间的非平凡Bogoliubov混合相关联。我们推导了连续量子场论中由此产生的重整化局域能量密度，它对应于霍金谱的能量加权积分，并确定其在局域自旋可观测量中的对应量，该可观测量的期望值定量地重现了连续预言，包括其对表面引力的依赖。这种一致性在一个有限时间窗口内持续存在，该窗口的持续时间随系统尺寸呈对数增长，揭示了从普适的连续霍金物理到晶格截断动力学的交叉。这些结果建立了对弯曲时空中的量子场论进行量子模拟的微观途径，将场论粒子产生直接与实验上可访问的多体可观测量联系起来。
英文摘要
We show that Hawking radiation spontaneously generated by dynamical black-hole formation can be realized in a local quantum spin model. Starting from the ground state corresponding to the early-time vacuum, with no initially prepared excitations, we follow the dynamics induced by the evolving geometry. In the corresponding continuum quantum field theory, Hawking particle creation is associated with nontrivial Bogoliubov mixing between the in- and out-mode decompositions. We derive the resulting renormalized local energy density in the continuum quantum field theory, which corresponds to an energy-weighted integral of the Hawking spectrum, and identify its counterpart as a local spin observable whose expectation value quantitatively reproduces the continuum prediction, including its dependence on the surface gravity. The agreement persists over a finite time window whose duration grows logarithmically with system size, revealing the crossover from universal continuum Hawking physics to lattice-cutoff dynamics. These results establish a microscopic route to quantum simulation of quantum field theory in curved spacetime, connecting field-theoretic particle creation directly to experimentally accessible many-body observables.
发表机构
- Kanazawa Institute of Technology（金泽工业技术学院）
- Nihon University（日本大学）
- National Institute of Advanced Industrial Science and Technology (AIST)（国立产业技术综合研究所）
- RIKEN Center for Quantum Computing (RQC)（理化学研究所量子计算中心）
- Sanyo-Onoda City University（山阳小野田市立大学）
- Hiroshima University（广岛大学）
机构由 AI 辅助整理，请以论文原文为准。
