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We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime.
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2007
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2007
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2008
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2008
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2015
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2015
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Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, and Frank Verstraete, “Unifying time evolution and optimization with matrix product states,” Phys. Rev. B 94
2016
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Marko Žnidarič, Antonello Scardicchio, and Vipin Kerala Varma, “Diffusive and subdiffusive spin transport in the ergodic phase of a many-body localizable system,” Phys. Rev. Lett. 117
2016
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Tomaž Prosen and Marko Žnidarič, “Matrix product simulations of non-equilibrium steady states of quantum spin chains,” Journal of Statistical Mechanics: Theory and Experiment 2009
2009
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Iztok Pižorn and Toma ž Prosen, “Operator space entanglement entropy in x y xy spin chains,” Phys. Rev. B 79
2009
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R. Steinigeweg, H. Wichterich, and J. Gemmer, “Density dynamics from current auto-correlations at finite time- and length-scales,” EPL (Europhysics Letters) 88
2009
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B Pirvu, V Murg, J I Cirac, and F Verstraete, “Matrix product operator representations,” New Journal of Physics 12
2010
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Konrad Heinrich Marti and Markus Reiher, “The density matrix renormalization group algorithm in quantum chemistry,” Zeitschrift für Physikalische Chemie 224
2010
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Ulrich Schollwöck, “The density-matrix renormalization group in the age of matrix product states,” Annals of Physics 326
2011
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Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pižorn, Henri Verschelde, and Frank Verstraete, “Time-dependent variational principle for quantum lattices,” Phys. Rev. Lett. 107
2011
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Alexander Karabanov, Ilya Kuprov, G. T. P. Charnock, Anniek van der Drift, Luke J. Edwards, and Walter Köckenberger, “On the accuracy of the state space restriction approximation for spin dynamics simulations,” The Journal of Chemical Physics 135
2011
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2017
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2017
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2017
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David J. Luitz and Yevgeny Bar Lev, “The ergodic side of the many-body localization transition,” Annalen der Physik 529
2017
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Marko Ljubotina, Marko Žnidarič, and Tomaž Prosen, “Spin diffusion from an inhomogeneous quench in an integrable system,” Nature communications 8
2017
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Dieter Forster, Hydrodynamic fluctuations, broken symmetry, and correlation functions (CRC Press, 2018)
2018
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Hong Liu and Paolo Glorioso, “Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics,” in Proceedings of Theoretical Advanced Study Institute Summer School 2017 ”Physics at the Fundamental Frontier” — PoS(TASI2017) (Sissa Medialab, 2018)
2018
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Benedikt Kloss, Yevgeny Bar Lev, and David Reichman, “Time-dependent variational principle in matrix-product state manifolds: Pitfalls and potential,” Phys. Rev. B 97
2018
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Christopher David White, Michael Zaletel, Roger S. K. Mong, and Gil Refael, “Quantum dynamics of thermalizing systems,” Phys. Rev. B 97
2018
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Jonathan Wurtz, Anatoli Polkovnikov, and Dries Sels, “Cluster truncated wigner approximation in strongly interacting systems,” Annals of Physics 395
2018
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Adam Nahum, Sagar Vijay, and Jeongwan Haah, “Operator spreading in random unitary circuits,” Phys. Rev. X 8
2018
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C. W. von Keyserlingk, Tibor Rakovszky, Frank Pollmann, and S. L. Sondhi, “Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws,” Phys. Rev. X 8
2018
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Vedika Khemani, Ashvin Vishwanath, and David A. Huse, “Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws,” Phys. Rev. X 8
2018
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Tibor Rakovszky, Frank Pollmann, and C. W. von Keyserlingk, “Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation,” Phys. Rev. X 8
2018
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2018
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Xinyi Chen-Lin, Luca V. Delacrétaz, and Sean A. Hartnoll, “Theory of diffusive fluctuations,” Phys. Rev. Lett. 122
2019
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Tom Banks and Andrew Lucas, “Emergent entropy production and hydrodynamics in quantum many-body systems,” Phys. Rev. E 99
2019
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Sebastian Paeckel, Thomas Köhler, Andreas Swoboda, Salvatore R. Manmana, Ulrich Schollwöck, and Claudius Hubig, “Time-evolution methods for matrix-product states,” Annals of Physics 411
2019
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Marko Žnidarič, “Nonequilibrium steady-state kubo formula: Equality of transport coefficients,” Phys. Rev. B 99
2019
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Daniel E. Parker, Xiangyu Cao, Alexander Avdoshkin, Thomas Scaffidi, and Ehud Altman, “A universal operator growth hypothesis,” Phys. Rev. X 9
2019
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Maxime Dupont and Joel E. Moore, “Universal spin dynamics in infinite-temperature one-dimensional quantum magnets,” Phys. Rev. B 101
2020
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Alexander Schuckert, Izabella Lovas, and Michael Knap, “Nonlocal emergent hydrodynamics in a long-range quantum spin system,” Phys. Rev. B 101
2020
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