Karin Haderlein, David J Luitz, Corinna Kollath and Ameneh Sheikhan
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引用次数: 0
Abstract
The statistical properties of level spacings provide valuable insights into the dynamical properties of a many-body quantum systems. We investigate the level statistics of the Fermi–Hubbard model with dimerized hopping amplitude and find that after taking into account translation, reflection, spin and η pairing symmetries to isolate irreducible blocks of the Hamiltonian, the level spacings in the limit of large system sizes follow the distribution expected for hermitian random matrices from the Gaussian orthogonal ensemble. We show this by analyzing the distribution of the ratios of consecutive level spacings in this system, its cumulative distribution and quantify the deviations of the distributions using their mean, standard deviation and skewness.
能级间距的统计特性为了解多体量子系统的动力学特性提供了宝贵的见解。我们研究了具有二聚化跳跃振幅的费米-哈伯德模型的能级统计特性，发现在考虑了平移、反射、自旋和 η 配对对称性以隔离哈密顿不可还原块之后，大系统规模极限下的能级间隔遵循了高斯正交集合中赫米提随机矩阵的预期分布。我们通过分析该系统中连续级距比率的分布及其累积分布来证明这一点，并利用它们的平均值、标准偏差和偏度来量化分布的偏差。
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JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged.
The journal covers different topics which correspond to the following keyword sections.
1. Quantum statistical physics, condensed matter, integrable systems
Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo
2. Classical statistical mechanics, equilibrium and non-equilibrium
Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo
3. Disordered systems, classical and quantum
Scientific Directors: Eduardo Fradkin and Riccardo Zecchina
4. Interdisciplinary statistical mechanics
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Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina
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