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从横场伊辛链到量子E8 可积模型

吴建达

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从横场伊辛链到量子E8 可积模型

吴建达

From Transverse Field Ising Chain to Quantum E8 Integrable Model

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  • 本文综述了近年来关于横场伊辛链模型及量子E8 可积模型研究工作的一系列理论及实验进展.在针对横场伊辛链模型的研究工作中, 理论上发现格林艾森比率(热或磁胀系数与比热之比) 在此模型中独特的奇异量子临界行为, 并实质性地扩展了能涌现横场伊辛链普适类的微观模型. 这些理论进展成功地推进了一系列合作实验在准一维反铁磁材料BaCo2V2O8 及SrCo2V2O8 中首次实现横场伊辛链普适类. 在针对量子E8 可积模型的研究工作中,理论上严格计算了该系统的低温局域动力学行为及在零转移动量之时的动力学结构因子, 并在动力学结构因子的连续谱区域得到了级联幂次发散的奇性谱边激发. 这些理论进展在结合详细的量子临界标度行为分析及大规模iTEBD 数值计算之后,成功促成了包括太赫兹谱学测量, 非弹性中子散射, 核磁共振等系列实验在BaCo2V2O8 中首次实现量子E8 可积模型. 量子E8 可积模型的物理实现为在真实材料中研究量子可积系统的物理开拓了新的边界. 这一系列关于横场伊辛链及量子E8 可积模型的研究进展将为凝聚态系统、冷原子系统、统计场论和共形场论等方向的研究带来新的启发, 并为量子不可积系统的研究提供了新的可能.
    This review reports a series of theoretical and experimental progress on researches of transverse field Ising chain and quantum E8 integrable model. For transverse field Ising chain, on one hand, a unique exotic quantum critical behavior of Grüneisen ratio (a ratio from magnetic or thermal expansion coefficient to specific heat) is theoretically established; on the other hand microscopic models can accommodate transverse field Ising chain universality class are substantially expand. These progresses successfully promote a series of experiments collaborations to first-time realize transverse-field Ising chain universality class in quasi one-dimensional anti-ferromagnetic material BaCo2V2O8 and SrCo2V2O8. For the quantum E8 integrable model, the low temperature local dynamics and dynamic structure factor with zero transfer momentum of this system are analytically determined, where a cascade of edge singularities with power-law divergences are obtained in the continuum region of the dynamic structure factor. After combining with detailed quantum critical scaling behaviors analysis and large scale iTEBD calculation, it successfully facilitates a series of experiments, including THz spectrum measurements, inelastic neutron scattering and NMR experiments, to realize quantum E8 integrable model in BaCo2V2O8 for the first time. The experimental realization of quantum E8 integrable model substantially extends the frontiers of studying quantum integrable models in real materials. The series of progresses and developments on transverse field Ising chain and quantum E8 integrable model not only inspire studies in condensed matter systems, cold atom systems, statistical field theory and conformal field theory, but also lay down a concrete ground to go beyond integrability.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2021-10-03
  • 上网日期:  2022-01-26

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