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Reorthonormalization of Chebyshev matrix product states for dynamical correlation functions

Year: 2018
Type: article
Abstract: The Chebyshev expansion offers a numerically efficient and easy-implement algorithm for evaluating dynamic correlation functions using matrix product states (MPS). In this approach, each recursively generated Chebyshev vector is approximately represented by an MPS. However, the recurrence relations of Chebyshev polynomials are broken by the approximation, leading to an error which is accumulated with the increase of the order of expansion. Here we propose a reorthonormalization approach to remove this error introduced in the loss of orthogonality of the Chebyshev polynomials. Our approach, as illustrated by comparison with the exact results for the one-dimensional XY and Heisenberg models, improves significantly the accuracy in the calculation of dynamical correlation functions.
DOI: 10.1103/physrevb.97.075111
Authors: H. D. Xie, R. Z. Huang, X. J. Han, X. Yan, H. H. Zhao, Z. Y. Xie, H. J. Liao, T. Xiang
Institutions: Chinese Academy of Sciences, Institute of Physics, University of Chinese Academy of Sciences, RIKEN Center for Brain Science, RIKEN, Renmin University of China, Collaborative Innovation Center of Quantum Matter
Language: English
Open Access status: green
OpenAlex ID: W2770058533
FWCI: 1.505
Cites: 29
Cited by: 27
Related to: 10