387 citations · 1.1k across the 32 of their papers we have counts for
32 papers
Optimized Tensor-Network Renormalization for Quantum Dynamics: Resolving the Spectral Function of
Jiahang Hu, Runze Chi, B. Normand +2
Tensor-network methods have opened a powerful route for the study of dynamical spectral functions in two-dimensional quantum systems. However, existing approaches within the framew…
Exact Neural-Network Representations of the Motzkin States
Runde Zha, Yuntian Gu, Chaohui Fan +3
Motzkin spin chains are paradigmatic frustration-free one-dimensional quantum systems whose ground states feature exactly solvable combinatorial structures and exotic, area-law-vio…
Statistical mechanics of the -queens problem
Zong-Yue Liu, Hai-Jun Liao, Lei Wang
We investigate the -queens problem as a lattice gas -- a model in which queens are placed on an chessboard with pairwise repulsive interactions along shared row…
Dynamical Spectral Function of the Kagome Quantum Spin Liquid
Jiahang Hu, Runze Chi, Yibin Guo +3
Quantum spin liquids (QSLs) host exotic fractionalized magnetic and gauge-field excitations whose microscopic origins and experimental verification remain frustratingly elusive. In…
Thermodynamics of the Hubbard Model on the Bethe Lattice
Jia-Lin Chen, Zhen Fan, Bo Zhan +6
We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our fi…
Possible Observation of Quadrupole Waves in Spin Nematics
Jieming Sheng, Jiahang Hu, Lei Xu +15
Discovery of new states of matter is a key objective in modern condensed matter physics, which often leads to revolutionary technological advancements such as superconductivity. Qu…
Universal scaling behavior of resistivity under two-dimensional superconducting phase fluctuations
Zongsheng Zhou, Kang Wang, Hai-Jun Liao +2
In superconductors with relatively low superfluid density, such as cuprate high- superconductors, the phase fluctuations of the superconducting order parameter are remarkable,…
Dynamical Spectra of Spin Supersolid States in Triangular Antiferromagnets
Runze Chi, Jiahang Hu, Hai-Jun Liao +1
We employ tensor network renormalization to explore the dynamical spectra of the easy-axis triangular-lattice antiferromagnet (TLAF) in a magnetic field. Our analysis identifies tw…
Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
Kang Wang, Shi Feng, Penghao Zhu +4
We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic fi…
Simulation of IBM's kicked Ising experiment with Projected Entangled Pair Operator
Hai-Jun Liao, Kang Wang, Zong-Sheng Zhou +2
We perform classical simulations of the 127-qubit kicked Ising model, which was recently emulated using a quantum circuit with error mitigation [Nature 618, 500 (2023)]. Our approa…
Accurate determination of low-energy eigenspectra with multi-target matrix product states
Xuan Li, Zongsheng Zhou, Guanglei Xu +5
Determining the low-energy eigenspectra of quantum many-body systems is a long-standing challenge in physics. In this work, we solve this problem by introducing two novel algorithm…
Differentiable programming tensor networks for Kitaev magnets
Xing-Yu Zhang, Shuang Liang, Hai-Jun Liao +2
We present a general computational framework to investigate ground state properties of quantum spin models on infinite two-dimensional lattices using automatic differentiation-base…
Umklapp scattering in the one-dimensional Hubbard model
Tong Liu, Kang Wang, Runze Chi +3
The Mott metal-insulator transition is a typical strong correlation effect triggered by the Umklapp scattering. However, in a physical system, the Umklapp scattering coexists with…
Two-dimensional coherent spectrum of interacting spinons from matrix-product states
Qi Gao, Yang Liu, Haijun Liao +1
We compute numerically the second and third order nonlinear magnetic susceptibilities of an Ising ladder model in the context of two-dimensional coherent spectroscopy by using the…
Projected d-wave superconducting state: a fermionic projected entangled pair state study
Qi Yang, Xing-Yu Zhang, Hai-Jun Liao +2
We investigate the physics of projected d-wave pairing states using their fermionic projected entangled pair state (fPEPS) representation. First, we approximate a d-wave Bardeen-Co…
Variational determination of arbitrarily many eigenpairs in one quantum circuit
Guanglei Xu, Yi-Bin Guo, Xuan Li +3
The state-of-the-art quantum computing hardware has entered the noisy intermediate-scale quantum (NISQ) era. Having been constrained by the limited number of qubits and shallow cir…
Spin Excitation Spectra of Anisotropic Spin- Triangular Lattice Heisenberg Antiferromagnets
Run-Ze Chi, Yang Liu, Yuan Wan +2
Investigation of dynamical excitations is difficult but crucial to the understanding of many exotic quantum phenomena discovered in quantum materials. This is particularly true for…
Entanglement Entropy of Non-Hermitian Free Fermions
Yi-Bin Guo, Yi-Cong Yu, Rui-Zhen Huang +4
We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement…
Abnormal Critical Fluctuations Revealed by Magnetic Resonance in the Two-Dimensional Ferromagnetic Insulators
Zefang Li, Dong-Hong Xu, Xue Li +4
Phase transitions and critical phenomena, which are dominated by fluctuations and correlations, are one of the fields replete with physical paradigms and unexpected discoveries. Es…
Critical properties of the two-dimensional -state clock model
Zi-Qian Li, Li-Ping Yang, Z. Y. Xie +3
We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the -state clock model on the square lattice…
Automatic Differentiation for Second Renormalization of Tensor Networks
Bin-Bin Chen, Yuan Gao, Yi-Bin Guo +7
Tensor renormalization group (TRG) constitutes an important methodology for accurate simulations of strongly correlated lattice models. Facilitated by the automatic differentiation…
Differentiable Programming Tensor Networks
Hai-Jun Liao, Jin-Guo Liu, Lei Wang +1
Differentiable programming is a fresh programming paradigm which composes parameterized algorithmic components and trains them using automatic differentiation (AD). The concept eme…
Statistical inference and feasibility determination: a nonasymptotic approach
Ying Zhu
We develop non-asymptotically justified methods for hypothesis testing about the dimensional coefficients in (possibly nonlinear) regression models. Given a function $h…
Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions
H. D. Xie, R. Z. Huang, X. J. Han +5
The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for evaluating dynamic correlation functions using matrix product states (MPS). In this approach…