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arXiv 2307.01792hep-phnucl-thquant-ph
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介质内QCD喷流的量子模拟：动量展宽、胶子产生与熵增长

Quantum simulation of in-medium QCD jets: momentum broadening, gluon production, and entropy growth

João Barata, Xiaojian Du, Meijian Li, Wenyang Qian, Carlos A. Salgado

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16 pages, 12 figures
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AI总结：

本文基于光前哈密顿量构建数字量子电路，在$|q\rangle+|qg\rangle$ Fock空间中介质内QCD喷流演化，发现亚eikonal动量展宽效应、胶子发射概率的小修正及von-Neumann熵的超线性增长。

摘要：

喷流是探测超相对论重离子碰撞中产生的夸克-胶子等离子体以及深度非弹性散射实验中探索的冷核物质的主要探针之一。然而，尽管近年来取得了重要进展，对介质内QCD喷流实时演化的描述仍远未完善。在我们之前的工作中，我们探索了量子技术作为一种有前景的替代理论实验室，用于模拟QCD物质中的喷流演化，以克服当前计算中固有的技术困难。在此，我们将之前的研究从单粒子$|q\rangle$扩展到$|q\rangle+|qg\rangle$ Fock空间，考虑了胶子产生。基于光前哈密顿量形式，我们构建了一个数字量子电路，用于追踪在描述为随机色场的介质存在下多粒子喷流探针的演化。通过研究喷流态的动量展宽，我们通过与eikonal估计进行比较，观察到了显著的亚eikonal效应。我们还研究了介质对胶子发射概率的诱导修正，与真空劈裂函数相比，这些修正表现出较小的偏差。此外，我们研究了与夸克分量相关的von-Neumann熵的时间演化；我们发现，对于裸夸克，熵的指数随时间线性增长，但在考虑胶子发射时则呈现超线性增长。

英文摘要：

Jets provide one of the primary probes of the quark-gluon plasma produced in ultrarelativistic heavy ion collisions and the cold nuclear matter explored in deep inelastic scattering experiments. However, despite important developments in the last years, a description of the real-time evolution of QCD jets inside a medium is still far from being complete. In our previous work, we have explored quantum technologies as a promising alternative theoretical laboratory to simulate jet evolution in QCD matter, to overcome inherent technical difficulties in present calculations. Here, we extend our previous investigation from the single particle $|q\rangle$ to the $|q\rangle+|qg\rangle$ Fock space, taking into account gluon production. Based on the light-front Hamiltonian formalism, we construct a digital quantum circuit that tracks the evolution of a multi-particle jet probe in the presence of a medium described as a stochastic color field. Studying the momentum broadening of the jet state, we observe sizable sub-eikonal effects by comparing to eikonal estimates. We also study the medium-induced modifications to the gluon emission probability, which exhibit small corrections compared to the vacuum splitting function. In addition, we study the time evolution of the von-Neumann entropy associated with the quark component; we find that the exponential of the entropy grows linearly in time for the bare quark but super-linearly when taking into account gluon emission.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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