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Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum many-body systems in and out of equilibrium.
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From density-matrix renormalization group to matrix product states ,
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Entanglement spectrum in one-dimensional systems ,
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states ,
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Strictly single-site DMRG algorithm with subspace expansion ,
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Tensor Network Renormalization ,
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Density matrix renormalization group on a cylinder in mixed real and momentum space ,
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Unifying time evolution and optimization with matrix product states ,
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Efficient variational diagonalization of fully many-body localized Hamiltonians ,
F. Pollmann, V. Khemani, J. I. Cirac and S. L. Sondhi, · 2016
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Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach ,
V. Khemani, F. Pollmann and S. L. Sondhi, · 2016
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Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model ,
G. Ehlers, S. R. White and R. M. Noack, · 2017
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Finding Matrix Product State Representations of Highly Excited Eigenstates of Many-Body Localized Hamiltonians ,
X. Yu, D. Pekker and B. K. Clark, · 2017
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Loop Optimization for Tensor Network Renormalization ,
S. Yang, Z. C. Gu and X. G. Wen, · 2017
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Automated construction of $U(1)$-invariant matrix-product operators from graph representations ,
S. Paeckel, T. Köhler and S. R. Manmana, · 2017
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TeNPy: Tensor Network Python ,
J. Hauschild, F. Pollmann and Others, · 2018
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Gauge fixing, canonical forms and optimal truncations in tensor networks with closed loops ,
G. Evenbly, · 2018
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Variational optimization algorithms for uniform matrix product states ,
V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete and J. Haegeman, · 2018
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Error estimates for extrapolations with matrix-product states ,
C. Hubig, J. Haegeman and U. Schollwöck, · 2018
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An area law for one-dimensional quantum systems ,
M. B. Hastings, · 2024
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