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从矩阵产品状态中提取光速
Alexander A Eberharter1, Laurens Vanderstraeten2,3, Frank Verstraete2,4
1Institut für Theoretische Physik, Universität Innsbruck, A-6020 Innsbruck, Austria.
Physical review letters
|December 15, 2023
概括
研究人员发现,量子系统中的光速可以使用矩阵产物状态模拟精确估计. 这种方法准确地确定了各种量子链和兴奋剂的哈伯德梯子中的临界速度.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子场理论 量子场理论
- 计算物理 计算物理
背景情况:
- 矩阵产品状态 (MPS) 模拟是研究一维量子系统的强大工具.
- 了解这些系统的动态和关键性质通常需要确定特征速度.
研究的目的:
- 建立一个精确的方法来计算量子系统中的光速,使用MPS模拟.
- 应用这种方法来确定挑战性系统中的临界速度,例如不可集成的海森伯格链和杂的哈伯德梯子.
主要方法:
- 在无限系统MPS模拟中比较局部有效哈密尔顿和转移运算子的光谱.
- 使用路径积分视角来推导这些光谱属性之间的对应.
- 将开发的技术应用于SU(2) 海森伯格链和兴奋剂的哈伯德梯子.
主要成果:
- 证明了局部有效哈密尔顿和转移运算子光谱之间的同一性,直至一个重新缩放因子 (系统的光速).
- 对于关键的SU(2) 海森伯格链,实现了对光速的高度准确的估计,S>1/2.2.
- 在各种兴奋剂水平中获得了兴奋剂的哈伯德梯子的精确速度.
- 在Luther-Emery中计算了Luttinger液体参数,在Luther-Emery中使用了兴奋剂的Hubbard梯子,其精度得到了提高.
结论:
- 光谱比较方法提供了一个非常准确和实用的方法来确定量子系统中的光速.
- 这种技术克服了先前分析复杂量子模型中关键现象的方法的局限性.
- 这些发现为强烈相关的电子系统的特性提供了新的见解.
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