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The understanding of complex quantum many-body systems has been vastly boosted by tensor network (TN) methods.
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B. Pirvu, J. Haegeman, and F. Verstraete, Matrix product state based algorithm for determining dispersion relations of quantum spin chains with periodic boundary conditions, Phys. Rev. B 85
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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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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
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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
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M. J. O’Rourke, Z. Li, and G. K.-L. Chan, Efficient representation of long-range interactions in tensor network algorithms, Phys. Rev. B 98
2018
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O. A. Castro-Alvaredo, C. De Fazio, B. Doyon, and I. M. Szécsényi, Entanglement content of quasiparticle excitations, Phys. Rev. Lett. 121
2018
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V. Zauner-Stauber, L. Vanderstraeten, M. T. Fishman, F. Verstraete, and J. Haegeman, Variational optimization algorithms for uniform matrix product states, Phys. Rev. B 97
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J. Haegeman, S. Michalakis, B. Nachtergaele, T. J. Osborne, N. Schuch, and F. Verstraete, Elementary excitations in gapped quantum spin systems, Phys. Rev. Lett. 111
2013
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J. Haegeman, M. Mariën, T. J. Osborne, and F. Verstraete, Geometry of matrix product states: Metric, parallel transport, and curvature, Journal of Mathematical Physics 55
2014
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J. Mölter, T. Barthel, U. Schollwöck, and V. Alba, Bound states and entanglement in the excited states of quantum spin chains, Journal of Statistical Mechanics: Theory and Experiment 2014
2014
Cited alongside, same era.
L. Vanderstraeten, M. Mariën, F. Verstraete, and J. Haegeman, Excitations and the tangent space of projected entangled-pair states, Phys. Rev. B 92
2015
Cited alongside, same era.
S. Szalay, M. Pfeffer, V. Murg, G. Barcza, F. Verstraete, R. Schneider, and Ö. Legeza, Tensor product methods and entanglement optimization for ab initio quantum chemistry, International Journal of Quantum Chemistry 115
2015
Cited alongside, same era.
C. G. West, A. Garcia-Saez, and T.-C. Wei, Efficient evaluation of high-order moments and cumulants in tensor network states, Phys. Rev. B 92
2015
Cited alongside, same era.
P. Corboz, Variational optimization with infinite projected entangled-pair states, Phys. Rev. B 94
2016
Cited alongside, same era.
E. M. Stoudenmire and S. R. White, Sliced basis density matrix renormalization group for electronic structure, Phys. Rev. Lett. 119
2017
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2018
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R. Orús, Tensor networks for complex quantum systems, Nature Reviews Physics 1
2019
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S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck, and C. Hubig, Time-evolution methods for matrix-product states, Annals of Physics 411
2019
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H.-J. Liao, J.-G. Liu, L. Wang, and T. Xiang, Differentiable programming tensor networks, Phys. Rev. X 9
2019
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Z. Li, M. J. O’Rourke, and G. K.-L. Chan, Generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions, Phys. Rev. B 100
2019
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F. Ferrari and F. Becca, Dynamical structure factor of the J 1 − J 2 {J}_{1}-{J}_{2} heisenberg model on the triangular lattice: Magnons, spinons, and gauge fields, Phys. Rev. X 9
2019
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M. Motta, C. Genovese, F. Ma, Z.-H. Cui, R. Sawaya, G. K.-L. Chan, N. Chepiga, P. Helms, C. Jiménez-Hoyos, A. J. Millis, U. Ray, E. Ronca, H. Shi, S. Sorella, E. M. Stoudenmire, S. R. White, and S. Zhang (Simons Collaboration on the Many-Electron Problem), Ground-state properties of the hydrogen chain: Dimerization, insulator-to-metal transition, and magnetic phases, Phys. Rev. X 10
2020
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M. Mena, N. Hänni, S. Ward, E. Hirtenlechner, R. Bewley, C. Hubig, U. Schollwöck, B. Normand, K. W. Krämer, D. F. McMorrow, and C. Rüegg, Thermal control of spin excitations in the coupled ising-chain material rbcocl 3 {\mathrm{rbcocl}}_{3} , Phys. Rev. Lett. 124
2020
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B. Ponsioen and P. Corboz, Excitations with projected entangled pair states using the corner transfer matrix method, Phys. Rev. B 101
2020
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M. J. O’Rourke and G. K.-L. Chan, Simplified and improved approach to tensor network operators in two dimensions, Phys. Rev. B 101
2020
Later among the works it cites.