Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory

Abstract

We compute the spectral functions for the two-site dynamical cluster theory and for the two-orbital dynamical mean-field theory in the density-matrix renormalization group (DMRG) framework using Chebyshev expansions represented with matrix product states (MPS). We obtain quantitatively precise results at modest computational effort through technical improvements regarding the truncation scheme and the Chebyshev rescaling procedure. We furthermore establish the relation of the Chebyshev iteration to real-time evolution, and discuss technical aspects as computation time and implementation in detail.

20 pages, 12 figures

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• Chebyshev matrix product state approach for time evolution
• Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
• Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times
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• Efficient Compression Of The Environment Of An Open Quantum System
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
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• Stable bipolarons in open quantum systems
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• Real-time Impurity Solver Using Grassmann Time-Evolving Matrix Product Operators
• Interaction expansion inchworm Monte Carlo solver for lattice and impurity models
• Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
• Infinite Grassmann Time-Evolving Matrix Product Operator Method in the Steady State
• Calculating the many-body density of states on a digital quantum computer
• Constructing `full-frequency' spectra via moment constraints for coupled cluster Green's functions
• Efficient construction of the Feynman-Vernon influence functional as matrix product states
• Anderson impurity solver integrating tensor network methods with quantum computing
• Neural network enhanced hybrid quantum many-body dynamical distributions
• Novel subbands in the doped two-orbital Kanamori-Hubbard model
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• Minimally Entangled Typical Thermal States Algorithms for Finite Temperature Matsubara Green Functions
• Observation of spin-charge separation and boundary bound states via the local density of states
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• Spectral properties of fractionalized Shiba states
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