arXiv 2205.079022022-05hep-phhep-latnucl-thquant-ph

核环境中喷流猝灭光阵面QCD的量子模拟

Quantum Simulation of Light-Front QCD for Jet Quenching in Nuclear Environments

Xiaojun Yao

备注：: 56 pages, 9 figures; v2: add a section on the simulation of the LPM effect in gluon radiation; v3: added more discussions in introduction, modified discussions of simulation results

摘要：

我们开发了一个框架，在量子计算机上模拟核环境中的喷流淬灭。该公式是基于QCD的光阵面哈密顿动力学。哈密顿量由三个部分有关的射流淬火研究：动力学，扩散和分裂条款。在由动量空间中的$n$ -粒子态构成的基中，动力学哈密顿量是对角的。表示扩散和分裂部分的矩阵是稀疏的。哈密顿量的扩散部分依赖于经典背景规范场，在构造用于时间演化的量子线路之前，需要对经典背景规范场进行经典采样。采样的成本与演化的时间长度和动量网格体积成线性比例。该框架自动跟踪量子干涉，因此可以应用于研究具有两个以上相干分裂的情况下的Landau-Pomeranchuk-Migdal效应，这超出了最先进的分析范围，无论介质是静态的还是膨胀的，薄的还是厚的，热的还是冷的。我们应用这个框架研究了一个玩具模型和小格子上的介质胶子辐射。从玩具模型和胶子模型的量子模拟结果中可以看出，Landau-Pomeranchuk-Migdal效应的本质是介质相互作用引起的量子退相干，它抑制了总辐射几率.

英文摘要：

We develop a framework to simulate jet quenching in nuclear environments on a quantum computer. The formulation is based on the light-front Hamiltonian dynamics of QCD. The Hamiltonian consists of three parts relevant for jet quenching studies: kinetic, diffusion and splitting terms. In the basis made up of $n$-particle states in momentum space, the kinetic Hamiltonian is diagonal. Matrices representing the diffusion and splitting parts are sparse. The diffusion part of the Hamiltonian depends on classical background gauge fields, which need to be sampled classically before constructing quantum circuits for the time evolution. The cost of the sampling scales linearly with the time length of the evolution and the momentum grid volume. The framework automatically keeps track of quantum interference and thus it can be applied to study the Landau-Pomeranchuk-Migdal effect in cases with more than two coherent splittings, which is beyond the scope of state-of-the-art analyses, no matter whether the medium is static or expanding, thin or thick, hot or cold. We apply this framework to study a toy model and gluon in-medium radiation on a small lattice. The essence of the Landau-Pomeranchuk-Migdal effect is observed in the quantum simulation results of both the toy model and the gluon case, which is quantum decoherence caused by medium interactions that suppresses the total radiation probability.

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英文摘要：

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