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We present a generalization of the Time Dependent Variational Principle (TDVP) to any finite sized loop-free tensor network.
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Entanglement renormalization ,
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Simulation of time evolution with multiscale entanglement renormalization ansatz ,
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Unconstrained tree tensor network: An adaptive gauge picture for enhanced performance ,
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Quantum many-body systems out of equilibrium ,
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Time integration of tensor trains ,
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Fast convergence of imaginary time evolution tensor network algorithms by recycling the environment ,
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Time-evolving a matrix product state with long-ranged interactions ,
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Unifying time evolution and optimization with matrix product states ,
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Quantum transverse-field ising model on an infinite tree from matrix product states ,
D. Nagaj, E. Farhi, J. Goldstone, P. Shor and I. Sylvester, · 2008
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A multilayer multiconfigurational time-dependent hartree approach for quantum dynamics on general potential energy surfaces ,
U. Manthe, · 2008
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Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law ,
L. Tagliacozzo, G. Evenbly and G. Vidal, · 2009
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The density-matrix renormalization group in the age of matrix product states ,
U. Schollwöck, · 2010
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Homogeneous binary trees as ground states of quantum critical hamiltonians ,
P. Silvi, V. Giovannetti, S. Montangero, M. Rizzi, J. I. Cirac and R. Fazio, · 2010
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Simulating strongly correlated quantum systems with tree tensor networks ,
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J. Haegeman, C. Lubich, I. Oseledets, B. Vandereycken and F. Verstraete, · 2016
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Simulating open quantum dynamics with time-dependent variational matrix product states: Towards microscopic correlation of environment dynamics and reduced system evolution ,
F. A. Y. N. Schröder and A. W. Chin, · 2016
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Fork tensor-product states: Efficient multiorbital real-time dmft solver ,
D. Bauernfeind, M. Zingl, R. Triebl, M. Aichhorn and H. G. Evertz, · 2017
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Front dynamics and entanglement in the xxz chain with a gradient ,
V. Eisler and D. Bauernfeind, · 2017
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Wavepacket dynamics and the multi-configurational time-dependent hartree approach ,
U. Manthe, · 2017
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T3ns: Three-legged tree tensor network states ,
K. Gunst, F. Verstraete, S. Wouters, Ö. Legeza and N. D. Van, · 2018
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Fork Tensor Product States: Efficient Multi-Orbital Impurity Solver for Dynamical Mean Field Theory ,
D. Bauernfeind, · 2018
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Analytic solution of the domain-wall nonequilibrium stationary state ,
M. Collura, A. De Luca and J. Viti, · 2018
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Time-evolution methods for matrix-product states ,
S. Paeckel, T. Köhler, A. Swoboda, S. R. Manmana, U. Schollwöck and C. Hubig, · 2019
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Time-dependent study of disordered models with infinite projected entangled pair states ,
C. Hubig and J. I. Cirac, · 2019
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Time evolution of an infinite projected entangled pair state: An efficient algorithm ,
P. Czarnik, J. Dziarmaga and P. Corboz, · 2019
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The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems ,
P. Silvi, F. Tschirsich, M. Gerster, J. Jünemann, D. Jaschke, M. Rizzi and S. Montangero, · 2019
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