论文标题

晶格Schwinger模型的变分热量子模拟

Variational thermal quantum simulation of the lattice Schwinger model

论文作者

Xie, Xu-Dan, Guo, Xingyu, Xing, Hongxi, Xue, Zheng-Yuan, Zhang, Dan-Bo, Zhu, Shi-Liang

论文摘要

由于强烈的相互作用和高温和高密度的解解,夸克的限制是理解核问题的基本范式。然而,由于解决有限密度的有限温度量子铬动力学系统的符号问题,它们的模拟对于古典计算机来说非常具有挑战性。在本文中,我们提出了一种使用晶格schwinger模型的变分方法,以通过研究弦张力来模拟限制或解密。我们采用了一个Ansatz,可以评估弦张力,而无需参考用于测量自由能中熵的量子协议。数字模拟的结果表明,弦张力沿温度和化学电位的升高均降低,这可以是QCD相图的类似物。我们的工作铺平了一种利用近期量子计算机来研究核物质有限温度和有限密度的相图的方法。

Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical computers due to the sign problem of solving equilibrium states of finite-temperature quantum chromodynamical systems at finite density. In this paper, we propose a variational approach, using the lattice Schwinger model, to simulate the confinement or deconfinement by investigating the string tension. We adopt an ansatz that the string tension can be evaluated without referring to quantum protocols for measuring the entropy in the free energy. Results of numeral simulation show that the string tension decreases both along the increasing of the temperature and the chemical potential, which can be an analog of the phase diagram of QCD. Our work paves a way for exploiting near-term quantum computers for investigating the phase diagram of finite-temperature and finite density for nuclear matters.

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