受挫三体系统中的量子关联
Quantum Correlations in Frustrated Three-Body Systems
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中文总结 AI 辅助
研究三体受挫系统中的量子关联，用变分法等研究类氦原子基态揭示量子纠缠产生方式，分析氢分子离子波函数性质，还将结果扩展到氢键建模，助力理解多体量子关联及相关物理系统。
中文摘要 AI 辅助
由于多体量子关联的存在，许多物理系统无法从第一原理得到理解。在经典计算机上模拟此类系统的工作量会随着系统规模的增加而呈指数增长。我们研究简单但不平凡的三体受挫系统，以帮助理解潜在的量子关联。首先用变分法和有物理意义的假设研究类氦原子基态，揭示系统受挫导致量子纠缠产生的方式。接着考虑氢分子离子这一受挫三体系统，通过分析证明量子隧穿现象产生的波函数性质。最后将结果扩展到对氢键这一重要物理系统的建模。
英文摘要
Many physical systems are not understood from first principles due to the presence of multi-body quantum correlations. The effort taken to simulate such systems on classical computers increases exponentially with increase in the system size. We study simple, yet non-trivial, three-body frustrated systems that can help in understanding the underlying quantum correlations. First we investigate the ground state of helium-like atoms using the variational method and physically meaningful ansatze, revealing how quantum entanglement arises due to frustration in the system. Next we consider another frustrated three-body system, the hydrogen molecular ion, and analytically demonstrate the nature of its wavefunction arising from the quantum tunneling phenomenon. Finally, we extend these results to model yet another physically important system, the hydrogen bond.
