具有多旋互动的规范不变的自由抛物线量子链
Francisco C Alcaraz1, Lucas M Ramos1
1Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970, São Carlos, SP, Brazil.
Physical review. E
|May 17, 2024
概括
我们研究了具有多旋相互作用的非赫米特量子链,根据边界条件发现了不同的合规相. 这些模型表现出符合性不变性和多临界点.
科学领域:
- 量子物理学的量子物理学
- 凝聚物质理论 凝聚物质理论
- 统计力学就是统计力学.
背景情况:
- 非赫米斯量子系统提供了一个独特的框架来探索传统赫米斯理论之外的复杂现象.
- 量子链中的多旋互动引入了丰富的集体行为和对称性.
研究的目的:
- 为了研究两个相关的非赫米特式自由粒子量子链与N-多旋相互作用的两个相关家族的光谱特性和规格不变性.
- 分析边界条件 (开放式与周期性) 对这些非赫米特模型物理学的影响.
主要方法:
- 计算Z(N) 对称 (抛物线) 和U(1) 对称 (抛物线) 量子链的光谱属性.
- 分析自身光谱的有限大小行为和基本状态波函数的纠性质.
- 模型与开放和周期性边界条件的比较.
主要成果:
- 量子链的两个家族都有相同的伪能量,形成了它们的自身光谱.
- 确定了一个具有动态临界指数z=1的多临界点.
- 有限尺寸的缩放和纠数据表明两个模型家族的合规不变性.
- 由于非隐居性,对于开放与周期性边界条件出现了不同的物理行为和符合性阶段.
结论:
- 研究的非赫密斯量子链表现出丰富的物理,包括符合性不变性和多批判性.
- 边界条件在确定这些系统的相结构和合规性质方面发挥着至关重要的作用.
- 对称模型Z(N) 和U(1) 为探索非赫米特量子现象提供了一个多功能平台.
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