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We develop a method based on tensor networks to create localized single particle excitations on top of strongly-correlated quantum spin chains.
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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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M. Ganahl, E. Rabel, F. H. L. Essler, and H. G. Evertz, “Observation of complex bound states in the spin- 1 / 2 1/2 heisenberg x x z xxz chain using local quantum quenches,” Phys. Rev. Lett. 108
2012
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N. Marzari, A. A. Mostofi, J. R. Yates, I. Souza, and D. Vanderbilt, “Maximally localized wannier functions: Theory and applications,” Rev. Mod. Phys. 84
2012
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2012
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M. Mourigal, M. Enderle, A. Klöpperpieper, J.-S. Caux, A. Stunault, and H. M. Rønnow, “Fractional spinon excitations in the quantum heisenberg antiferromagnetic chain,” Nature Physics 9
2013
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R. Orús, “A practical introduction to tensor networks: Matrix product states and projected entangled pair states,” Annals of Physics 349
2013
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A. Milsted, J. Haegeman, T. J. Osborne, and F. Verstraete, “Variational matrix product ansatz for nonuniform dynamics in the thermodynamic limit,” Phys. Rev. B 88
2013
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2016
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2017
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2017
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2017
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2017
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2018
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S. Gopalakrishnan, D. A. Huse, V. Khemani, and R. Vasseur, “Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems,” Phys. Rev. B 98
2018
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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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Joannis Koepsell, Jayadev Vijayan, Pimonpan Sompet, Fabian Grusdt, Timon A Hilker, Eugene Demler, Guillaume Salomon, Immanuel Bloch, and Christian Gross, “Imaging magnetic polarons in the doped fermi–hubbard model,” Nature 572
2019
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L. Vanderstraeten, J. Haegeman, and F. Verstraete, “Tangent-space methods for uniform matrix product states,” SciPost Phys. Lect. Notes , 7 (2019)
2019
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Jayadev Vijayan, Pimonpan Sompet, Guillaume Salomon, Joannis Koepsell, Sarah Hirthe, Annabelle Bohrdt, Fabian Grusdt, Immanuel Bloch, and Christian Gross, “Time-resolved observation of spin-charge deconfinement in fermionic hubbard chains,” Science 367
2020
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