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Based on the MPS formalism, we introduce an ansatz for capturing excited states in finite systems with open boundary conditions, providing a very efficient method for computing, e.g., the spectral gap of quantum spin chains.
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D. Draxler, J. Haegeman, F. Verstraete, and M. Rizzi, Continuous matrix product states with periodic boundary conditions and an application to atomtronics, Phys. Rev. B 95
2017
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G. Ehlers, S. R. White, and R. M. Noack, Hybrid-space density matrix renormalization group study of the doped two-dimensional hubbard model, Phys. Rev. B 95
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N. Chepiga and F. Mila, Excitation spectrum and density matrix renormalization group iterations, Phys. Rev. B 96
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J. Haegeman and F. Verstraete, Diagonalizing transfer matrices and matrix product operators: A medley of exact and computational methods, Annual Review of Condensed Matter Physics 8
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J. A. Kjäll, F. Pollmann, and J. E. Moore, Bound states and E 8 {E}_{8} symmetry effects in perturbed quantum ising chains, Phys. Rev. B 83
2011
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B. Pirvu, F. Verstraete, and G. Vidal, Exploiting translational invariance in matrix product state simulations of spin chains with periodic boundary conditions, Phys. Rev. B 83
2011
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D. Rossini, V. Giovannetti, and R. Fazio, Stiffness in 1d matrix product states with periodic boundary conditions, Journal of Statistical Mechanics: Theory and Experiment 2011
2011
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J. Haegeman, B. Pirvu, D. J. Weir, J. I. Cirac, T. J. Osborne, H. Verschelde, and F. Verstraete, Variational matrix product ansatz for dispersion relations, Phys. Rev. B 85
2012
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H. N. Phien, G. Vidal, and I. P. McCulloch, Infinite boundary conditions for matrix product state calculations, Phys. Rev. B 86
2012
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P. Francesco, P. Mathieu, and D. Sénéchal, Conformal field theory (Springer Science & Business Media, 2012)
2012
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E. M. Stoudenmire and S. R. White, Studying two-dimensional systems with the density matrix renormalization group, Annual Review of Condensed Matter Physics 3
2012
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2017
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N. Bultinck, D. J. Williamson, J. Haegeman, and F. Verstraete, Fermionic matrix product states and one-dimensional topological phases, Phys. Rev. B 95
2017
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L. Vanderstraeten, M. Van Damme, H. P. Büchler, and F. Verstraete, Quasiparticles in quantum spin chains with long-range interactions, Phys. Rev. Lett. 121
2018
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Y. Zou, A. Milsted, and G. Vidal, Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states, Phys. Rev. Lett. 121
2018
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2019
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C. S. Chiu, G. Ji, A. Bohrdt, M. Xu, M. Knap, E. Demler, F. Grusdt, M. Greiner, and D. Greif, String patterns in the doped hubbard model, Science 365
2019
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A. Bohrdt, C. S. Chiu, G. Ji, M. Xu, D. Greif, M. Greiner, E. Demler, F. Grusdt, and M. Knap, Classifying snapshots of the doped Hubbard model with machine learning, Nature Physics 15
2019
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2020
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M. Van Damme, G. Roose, M. Hauru, and J. Haegeman, Mpskit.jl (2020)
2020
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A. Bohrdt, E. Demler, F. Pollmann, M. Knap, and F. Grusdt, Parton theory of angle-resolved photoemission spectroscopy spectra in antiferromagnetic mott insulators, Phys. Rev. B 102
2020
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L. Vanderstraeten, E. Wybo, N. Chepiga, F. Verstraete, and F. Mila, Spinon confinement and deconfinement in spin-1 chains, Phys. Rev. B 101
2020
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2020
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2021
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