Matrix product state recursion methods for strongly correlated quantum systems

Abstract

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 system. Surprisingly, the recursion method is also more robust than linear prediction at large interaction strength. We test this method on the Hubbard two-leg ladder and present more accurate results for the spectral function than previous studies.

arXiv comment14 pages, 16 figures

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• Minimal pole representation and analytic continuation of matrix-valued correlation functions
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Root-N Krylov-space correction-vectors for spectral functions with the density matrix renormalization group
• Dynamical correlation functions from complex time evolution
• Momentum-resolved time evolution with matrix product states
• The fate of pairing and spin-charge separation in the presence of long-range antiferromagnetism
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states