稠密双色QCD物质的混合态量子几何
Mixed-state quantum geometry of dense two-color QCD matter
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中文总结 AI 辅助
本文用信息几何方法研究稠密双色QCD，发现Bures度量和量子Fisher信息在色超导相边界显著增强，在手征交叉处较弱，在BEC--BCS交叉处无特征。
中文摘要 AI 辅助
我们研究了稠密双色QCD的信息几何方法，使用在平均场水平下两味Nambu--Jona-Lasinio模型中定义为归一化Gibbs态的热态。Bures度量和量子Fisher信息由有效Bogoliubov--de Gennes哈密顿量关联的热态构造，该哈密顿量再现平均场准粒子谱。在热力学参数流形$(T,\mu)$上，其中$T$为温度，$\mu$为夸克化学势，我们分析了包括QFI矩阵迹和度量体积密度在内的信息几何量。数值结果显示，这两个量在色超导相边界附近显著增强，而在手征交叉附近仅观察到较弱的特征。相比之下，两个可观测量均未表现出与BEC--BCS交叉相关的明显特征。
英文摘要
We investigate an information-geometric approach to dense two-color QCD using thermal states defined as normalized Gibbs states in the two-flavor Nambu--Jona-Lasinio model at the mean-field level. The Bures metric and quantum Fisher information are constructed from thermal states associated with effective Bogoliubov--de Gennes Hamiltonians reproducing the mean-field quasiparticle spectrum. On the thermodynamic parameter manifold $(T,μ)$, where $T$ is temperature and $μ$ is quark chemical potential, we analyze information-geometric quantities including the trace of the QFI matrix and the metric-volume density. The numerical results show pronounced enhancements of both quantities near the color-superconducting phase boundary, whereas only weaker signatures are observed across the chiral crossover. By contrast, neither observable exhibits a distinct feature associated with the BEC--BCS crossover.
发表机构
- Fukuoka Institute of Technology（福冈工业大学）
- Saga University（佐贺大学）
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