论文标题

在有限温度和密度下使用beta VQE的Schwinger模型

Schwinger model at finite temperature and density with beta VQE

论文作者

Tomiya, Akio

论文摘要

我们使用近期量子设备的变异算法在有限温度和密度下研究了量子规理论。我们适应$β$ -VQE评估热和量子期望值,并研究无质量施温格模型的相图以及温度和密度。通过编写确切的变异自由能,我们找到了$ t> 0 $和$μ> 0 $的变量算法工作,用于Schwinger型号。在[0,1.4] $中以$μ/g \ $μ/g \中的变异自由能的显着依赖性。我们计算手性冷凝物并进行连续外推。结果,我们获得了无质量雪松模型的相图的定性图片。

We investigate a quantum gauge theory at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt $β$-VQE to evaluate thermal and quantum expectation values and study the phase diagram for massless Schwinger model along with the temperature and density. By compering the exact variational free energy, we find the variational algorithm work for $T>0$ and $μ>0$ for the Schwinger model. No significant volume dependence of the variational free energy is observed in $μ/g \in[0, 1.4]$. We calculate the chiral condensate and take the continuum extrapolation. As a result, we obtain qualitative picture of the phase diagram for massless Schwinger model.

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