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Universal Hypothesis of Autocorrelation Function from Krylov Complexity
Ren Zhang, Hui Zhai
In a quantum many-body system, autocorrelation functions can determine linear responses nearby equilibrium and quantum dynamics far from equilibrium. In this letter, we bring out t…
Machine Learning of Frustrated Classical Spin Models. II. Kernel Principal Component Analysis
Ce Wang, Hui Zhai
In this work we apply the principal component analysis (PCA) method with kernel trick to study classification of phases and phase transition in classical XY models in frustrated la…
Unsupervised Learning of Frustrated Classical Spin Models I: Principle Component Analysis
Ce Wang, Hui Zhai
This work aims at the goal whether the artificial intelligence can recognize phase transition without the prior human knowledge. If this becomes successful, it can be applied to, f…
Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
Hui Zhai, Fei Zhou
We investigate the Zeeman-field-driven quantum phase transitions between singlet spin liquids and algebraically ordered O(2) nematic spin liquids of spin-one bosons in one-dimensio…
A Wave Function Describing Superfluidity in a Perfect Crystal
Hui Zhai, Yong-Shi Wu
We propose a many-body wave function that exhibits both diagonal and off-diagonal long-range order. Incorporating short-range correlations due to interatomic repulsion, this wave f…
Skyrmion Excitation in Two-Dimensional Spinor Bose-Einstein Condensate
Hui Zhai, WeiQiang Chen, Zhan Xu +1
We study the properties of coreless vortices(skyrmion) in spinor Bose-Einstein condensate. We find that this excitation is always energetically unstable, it always decays to an uni…