Matrix product state recursion methods for computing spectral functions of strongly correlated quantum systems

@article{Tian2020MatrixPS,
  title={Matrix product state recursion methods for computing spectral functions of strongly correlated quantum systems},
  author={Yifan Tian and Steven R. White},
  journal={arXiv: Strongly Correlated Electrons},
  year={2020}
}
We present a method for extrapolation of real-time dynamical correlation functions which can improve the capability of matrix product state methods to compute spectral functions. Unlike the widely used linear prediction method, which ignores the origin of the data being extrapolated, our recursion methods utilize a representation of the wavefunction in terms of an expansion of the same wavefunction and its translations at earlier times. This recursion method is exact for a noninteracting Fermi… Expand
3 Citations
Chebyshev Matrix Product States with Canonical Orthogonalization for Spectral Functions of Many-Body Systems.
  • Tong Jiang, Jiajun Ren, Z. Shuai
  • Medicine
  • The journal of physical chemistry letters
  • 2021
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It is demonstrated for the first time that Chebyshev MPS can be used to deal with ab initio electronic Hamiltonian effectively and the strength of coCheMPS to calculate the low excited states of systems with sparse discrete spectrum is emphasized. Expand
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We propose a method to calculate the spectral functions of strongly correlated systems by Chebyshev expansion in the framework of matrix product states coupled with canonical orthogonalizationExpand
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We present a numerical study of competing orders in the 1D t-J model with long-range RKKYlike staggered spin interactions. By circumventing the constraints imposed by Mermin-Wagner’s theorem, thisExpand

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