Unifying time evolution and optimization with matrix product states

Cited by (803)

Items 101–200 of 803

1. Time dependent variational principle for tree Tensor Networks
   Daniel Bauernfeind, Markus Aichhorn · 2020 · SciPost Physics
2. Slow Many-Body Delocalization beyond One Dimension
   Elmer V. H. Doggen, I. V. Gornyi, A. D. Mirlin, Dmitry G. Polyakov · 2020 · Physical Review Letters
3. Efficient Tensor Network Ansatz for High-Dimensional Quantum Many-Body Problems
   Timo Felser, Simone Notarnicola, Simone Montangero · 2021 · Physical Review Letters
4. Error estimates for extrapolations with matrix-product states
   Hubig, C., Haegeman, J., Schollwöck, U. · 2018 · Physical Review B
5. Simulating generic spin-boson models with matrix product states
   Michael L. Wall, Arghavan Safavi-Naini, Ana María Rey · 2016 · Physical Review A
6. Quantum Simulation of SU(3) Lattice Yang-Mills Theory at Leading Order in Large- N c Expansion
   Anthony N. Ciavarella, C. Bauer · 2024 · Physical Review Letters
7. Multiset Matrix Product State Calculations Reveal Mobile Franck-Condon Excitations Under Strong Holstein-Type Coupling
   Benedikt Kloss, David R. Reichman, Roel Tempelaar · 2019 · Physical Review Letters
8. Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
   Elmer V. H. Doggen, Yuval Gefen, I. V. Gornyi, A. D. Mirlin, Dmitry G. Polyakov · 2022 · Physical Review Research
9. Coherence in Chemistry: Foundations and Frontiers
   Jonathan D. Schultz, Jonathon L. Yuly, Eric A. Arsenault, Kelsey A. Parker, Sutirtha N. Chowdhury, Reshmi Dani, Sohang Kundu, Hanggai Nuomin, Zhendian Zhang, Jesús Valdiviezo et al. · 2024 · Chemical Reviews
10. High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
    Ron Belyansky, Seth Whitsitt, Niklas Mueller, Ali Fahimniya, Elizabeth R. Bennewitz, Zohreh Davoudi, Alexey Vyacheslavovich Gorshkov · 2024 · Physical Review Letters
11. Continuous Matrix Product States for Quantum Fields: An Energy Minimization Algorithm
    Ganahl, Martin, Rincón, Julián, Vidal, Guifre · 2017 · Physical Review Letters
12. The hierarchy of Davydov's Ansätze and its applications
    Yang Zhao, Kewei Sun, Lipeng Chen, Maxim F. Gelin · 2021 · Wiley Interdisciplinary Reviews Computational Molecular Science
13. One- and Two-Axis Squeezing via Laser Coupling in an Atomic Fermi-Hubbard Model
    Tanausú Hernández Yanes, Marcin Płodzień, Mažena Mackoit-Sinkevičienė, Giedrius Žlabys, Gediminas Juzeliūnas, Emilia Witkowska · 2022 · Physical Review Letters
14. Operator Lévy Flight: Light Cones in Chaotic Long-Range Interacting Systems
    Tianci Zhou, Shenglong Xu, Xiao Chen, Andrew Y. Guo, Brian G. Swingle · 2020 · Physical Review Letters
15. Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
    Bruno Bertini, Katja Klobas, Tsung-Cheng Lu · 2022 · Physical Review Letters
16. Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
    Qiaoyi Li, Yuan Gao, Yuan-Yao He, Yang Qi, Bin-Bin Chen, Wei Li · 2023 · Physical Review Letters
17. Evidence of Dirac Quantum Spin Liquid in YbZn 2 GaO 5
    Rabindranath Bag, Sijie Xu, Nicholas E. Sherman, Lalit Yadav, Alexander I. Kolesnikov, Andrey A. Podlesnyak, Eun Sang Choi, Iván da Silva, Joel E. Moore, Sara Haravifard · 2024 · Physical Review Letters
18. Full Quantum Dynamics Simulation of a Realistic Molecular System Using the Adaptive Time-Dependent Density Matrix Renormalization Group Method
    Yao Yao, Kewei Sun, Zhen Luo, Haibo Ma · 2018 · The Journal of Physical Chemistry Letters
19. Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
    Claudius Hubig, Annabelle Bohrdt, Michael Knap, Fabian Grusdt, J. I. Cirac · 2020 · SciPost Physics
20. Many-body localization transition in large quantum spin chains: The mobility edge
    Titas Chanda, Piotr Sierant, Jakub Zakrzewski · 2020 · Physical Review Research
21. Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space
    Yaling Ke, Raffaele Borrelli, Michael Thoss · 2022 · The Journal of Chemical Physics
22. Tree tensor network state approach for solving hierarchical equations of motion
    Yaling Ke · 2023 · The Journal of Chemical Physics
23. Multigrid renormalization
    Michael Lubasch, Pierre Moinier, Dieter Jaksch · 2018 · Journal of Computational Physics
24. Performance of the time-dependent variational principle for matrix product states in the long-time evolution of a pure state
    Shimpei Goto, Ippei Danshita · 2019 · Physical review. B./Physical review. B
25. Time Integration of Tree Tensor Networks
    Gianluca Ceruti, Christian Lubich, Hanna Walach · 2021 · SIAM Journal on Numerical Analysis
26. Finite-Temperature TD-DMRG for the Carrier Mobility of Organic Semiconductors
    Weitang Li, Jiajun Ren, Zhigang Shuai · 2020 · The Journal of Physical Chemistry Letters
27. Entanglement barriers in dual-unitary circuits
    Isaac Reid, Bruno Bertini · 2021 · Physical review. B./Physical review. B
28. Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times
    Corentin Bertrand, Olivier Parcollet, Antoine Maillard, Xavier Waintal · 2019 · Physical review. B./Physical review. B
29. Local measures of dynamical quantum phase transitions
    Jad C. Halimeh, Daniele Trapin, Maarten Van Damme, Markus Heyl · 2021 · Physical review. B./Physical review. B
30. Energy redistribution and spatiotemporal evolution of correlations after a sudden quench of the Bose-Hubbard model
    Yosuke Takasu, Tomoya Yagami, Hiroto Asaka, Yoshiaki Fukushima, Kazuma Nagao, Shimpei Goto, Ippei Danshita, Yoshiro Takahashi · 2020 · Science Advances
31. Roadmap for Molecular Benchmarks in Nonadiabatic Dynamics
    Léon L. E. Cigrang, Basile F. E. Curchod, Rebecca Ann Ingle, Aaron Kelly, Jonathan R. Mannouch, Davide Accomasso, Alexander Alijah, Mario Barbatti, Wiem Chebbi, Nađa Došlić et al. · 2025 · The Journal of Physical Chemistry A
32. Implementation of a novel projector-splitting integrator for the multi-configurational time-dependent Hartree approach
    Benedikt Kloss, Irène Burghardt, Christian Lubich · 2017 · The Journal of Chemical Physics
33. Temporal Entanglement in Chaotic Quantum Circuits
    Alessandro Foligno, Tianci Zhou, Bruno Bertini · 2023 · Physical Review X
34. Optimized Lie–Trotter–Suzuki decompositions for two and three non-commuting terms
    Thomas Barthel, Yikang Zhang · 2020 · Annals of Physics
35. Imaginary-time matrix product state impurity solver in a real material calculation: Spin-orbit coupling in Sr2RuO4
    Nils-Oliver Linden, Manuel Zingl, Claudius Hubig, Olivier Parcollet, Ulrich Schollwöck · 2020 · Physical review. B./Physical review. B
36. Spectral function of the J1−J2 Heisenberg model on the triangular lattice
    Nicholas E. Sherman, Maxime Dupont, Joel E. Moore · 2023 · Physical review. B./Physical review. B
37. Time Integration of Rank-Constrained Tucker Tensors
    Christian Lubich, Bart Vandereycken, Hanna Walach · 2018 · SIAM Journal on Numerical Analysis
38. Sr2MoO4 and Sr2RuO4 : Disentangling the Roles of Hund’s and van Hove Physics
    Jonathan Karp, Max Bramberger, Martin Grundner, Ulrich Schollwöck, Andrew J. Millis, Manuel Zingl · 2020 · Physical Review Letters
39. Low-rank tensor methods for partial differential equations
    Markus Bachmayr · 2023 · Acta Numerica
40. Many-body localization in presence of cavity mediated long-range interactions
    Piotr Sierant, Krzysztof Biedroń, Giovanna Morigi, Jakub Zakrzewski · 2019 · SciPost Physics
41. Parallel time-dependent variational principle algorithm for matrix product states
    Secular, Paul, Gourianov, Nikita, Lubasch, Michael, Dolgov, Sergey, Clark, Stephen R., Jaksch, Dieter · 2020 · Physical Review B
42. Many-body localization in tilted and harmonic potentials
    Ruixiao Yao, Titas Chanda, Jakub Zakrzewski · 2021 · Physical review. B./Physical review. B
43. A tensor network view of multilayer multiconfiguration time-dependent Hartree methods
    Henrik R. Larsson · 2024 · Molecular Physics
44. Tensor network simulation of polaron-polaritons in organic microcavities
    Javier del Pino, Florian A. Y. N. Schröder, Alex W. Chin, Johannes Feist, Francisco José García-Vidal · 2018 · Physical review. B./Physical review. B
45. Dynamical quantum phase transition for mixed states in open systems
    Haifeng Lang, Yi-Xin Chen, Qiantan Hong, Heng Fan · 2018 · Physical review. B./Physical review. B
46. Barrier from chaos: operator entanglement dynamics of the reduced density matrix
    Huajia Wang, Tianci Zhou · 2019 · Journal of High Energy Physics
47. Nonadiabatic dynamics across a first-order quantum phase transition: Quantized bubble nucleation
    Aritra Sinha, Titas Chanda, Jacek Dziarmaga · 2021 · Physical review. B./Physical review. B
48. Efficient bond-adaptive approach for finite-temperature open quantum dynamics using the one-site time-dependent variational principle for matrix product states
    Angus Dunnett, Alex W. Chin · 2021 · Physical review. B./Physical review. B
49. Matrix product state formulation of the multiconfiguration time-dependent Hartree theory
    Yuki Kurashige · 2018 · The Journal of Chemical Physics
50. Coexistence of localized and extended phases: Many-body localization in a harmonic trap
    Titas Chanda, Ruixiao Yao, Jakub Zakrzewski · 2020 · Physical Review Research
51. Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
    D. J. Jansen, J. Bonča, Fabian Heidrich‐Meisner · 2020 · Physical review. B./Physical review. B
52. Expanding the Range of Hierarchical Equations of Motion by Tensor-Train Implementation
    Raffaele Borrelli, Sergey Dolgov · 2021 · The Journal of Physical Chemistry B
53. Influence of non-adiabatic effects on linear absorption spectra in the condensed phase: Methylene blue
    Angus Dunnett, Duncan Gowland, Christine M. Isborn, Alex W. Chin, Tim Joachim Zuehlsdorff · 2021 · The Journal of Chemical Physics
54. Direct sampling of projected entangled-pair states
    Vieijra, Tom, Haegeman, Jutho, Verstraete, Frank, Vanderstraeten, Laurens · 2021 · Physical Review B
55. A Quasi-Conservative Dynamical Low-Rank Algorithm for the Vlasov Equation
    Lukas Daniel Einkemmer, Christian Lubich · 2019 · SIAM Journal on Scientific Computing
56. Studying dynamics in two-dimensional quantum lattices using tree tensor network states
    Benedikt Kloss, David R. Reichman, Yevgeny Bar Lev · 2020 · SciPost Physics
57. Sub-system quantum dynamics using coupled cluster downfolding techniques
    Karol Kowalski, Nicholas P. Bauman · 2020 · The Journal of Chemical Physics
58. Many-body localization in the interpolating Aubry-André-Fibonacci model
    Antonio Štrkalj, Elmer V. H. Doggen, Igor V. Gornyi, Oded Zilberberg · 2021 · Physical Review Research
59. Splitting of topological charge pumping in an interacting two-component fermionic Rice-Mele Hubbard model
    Eric Bertok, Fabian Heidrich‐Meisner, Armando A. Aligia · 2022 · Physical review. B./Physical review. B
60. Transcorrelated density matrix renormalization group
    Alberto Baiardi, Markus Reiher · 2020 · The Journal of Chemical Physics
61. Non-Markovian stochastic Schrödinger equation: Matrix-product-state approach to the hierarchy of pure states
    Xing Bao Gao, Jiajun Ren, Alexander Eisfeld, Zhigang Shuai · 2022 · Physical Review A
62. Measurement-induced transitions for interacting fermions
    Igor Poboiko, Paul Pöpperl, I. V. Gornyi, A. D. Mirlin · 2025 · Physical review. B./Physical review. B
63. Geometric Methods on Low-Rank Matrix and Tensor Manifolds
    André Uschmajew, Bart Vandereycken · 2020 · Springer eBooks
64. Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
    Reyhaneh Khasseh, Angelo Russomanno, Markus Schmitt, Markus Heyl, Rosario Fazio · 2020 · Physical review. B./Physical review. B
65. Time-evolution of local information: thermalization dynamics of local observables
    Thomas Klein Kvorning, Loïc Herviou, Jens Hjorleifur Bardarson · 2022 · SciPost Physics
66. Quantum dynamics simulation of intramolecular singlet fission in covalently linked tetracene dimer
    Sam Mardazad, Yihe Xu, Xue-Xiao Yang, Martin Grundner, Ulrich Schollwöck, Haibo Ma, Sebastian Paeckel · 2021 · The Journal of Chemical Physics
67. Parallel Implementation of the Density Matrix Renormalization Group Method Achieving a Quarter petaFLOPS Performance on a Single DGX-H100 GPU Node
    Andor Menczer, Maarten Van Damme, Alan E. Rask, Lee M. J. Huntington, Jeff R. Hammond, Sotiris S. Xantheas, Martin Ganahl, Örs Legeza · 2024 · Journal of Chemical Theory and Computation
68. Detecting superconductivity out of equilibrium
    Sebastian Paeckel, Benedikt Fauseweh, Alexander Osterkorn, Thomas Köhler, Dirk Manske, Salvatore R. Manmana · 2020 · Physical review. B./Physical review. B
69. Efficient and flexible approach to simulate low-dimensional quantum lattice models with large local Hilbert spaces
    Thomas Köhler, Jan Stolpp, Sebastian Paeckel · 2021 · SciPost Physics
70. Excited-State DMRG Made Simple with FEAST
    Alberto Baiardi, Anna Klára Kelemen, Markus Reiher · 2021 · Journal of Chemical Theory and Computation
71. Collective neutrino oscillations with tensor networks using a time-dependent variational principle
    Michael J. Cervia, Pooja Siwach, Amol V. Patwardhan, A. B. Balantekin, S. N. Coppersmith, Calvin W. Johnson · 2022 · Physical review. D/Physical review. D.
72. Automated construction of $U(1)$-invariant matrix-product operators from graph representations
    Sebastian Paeckel, Thomas Köhler, Salvatore R. Manmana · 2017 · SciPost Physics
73. A Low-Rank Algorithm for Weakly Compressible Flow
    Lukas Daniel Einkemmer · 2019 · SIAM Journal on Scientific Computing
74. Dynamical Topological Quantum Phase Transitions in Nonintegrable Models
    Imre Hagymási, Claudius Hubig, Örs Legeza, Ulrich Schollwöck · 2019 · Physical Review Letters
75. Efficient mapping for Anderson impurity problems with matrix product states
    Lucas Kohn, Giuseppe E. Santoro · 2021 · Physical review. B./Physical review. B
76. Gauging tensor networks with belief propagation
    Joseph Tindall, Matthew Fishman · 2023 · SciPost Physics
77. Enhancing quantum utility: Simulating large-scale quantum spin chains on superconducting quantum computers
    Talal Ahmed Chowdhury, Kwangmin Yu, Mahmud Ashraf Shamim, M. L. Kabir, Raza Sabbir Sufian · 2024 · Physical Review Research
78. Front dynamics in the XY chain after local excitations
    Viktor Eisler, Florian Maislinger · 2020 · SciPost Physics
79. Open-system tensor networks and Kramers' crossover for quantum transport
    Gabriela Wójtowicz, Justin E. Elenewski, Marek M. Rams, Michael P. Zwolak · 2020 · Physical Review A
80. Finite Temperature Dynamical Density Matrix Renormalization Group for Spectroscopy in Frequency Domain
    Tong Jiang, Weitang Li, Jiajun Ren, Zhigang Shuai · 2020 · The Journal of Physical Chemistry Letters
81. Quantum chaos and ensemble inequivalence of quantum long-range Ising chains
    Angelo Russomanno, Michele Fava, Markus Heyl · 2021 · Physical review. B./Physical review. B
82. Efficient quantum dynamics simulations of complex molecular systems: A unified treatment of dynamic and static disorder
    Maxim F. Gelin, Amalia Velardo, Raffaele Borrelli · 2021 · The Journal of Chemical Physics
83. One-Axis Twisting as a Method of Generating Many-Body Bell Correlations
    Marcin Płodzień, Maciej Lewenstein, Emilia Witkowska, Jan Chwedeńczuk · 2022 · Physical Review Letters
84. Deformed symmetry structures and quantum many-body scar subspaces
    Jie Ren, Chenguang Liang, Chen Fang · 2022 · Physical Review Research
85. Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
    Junsen Wang, Han Li, Ning Xi, Yuan Gao, Qing‐Bo Yan, Wei Li, Gang Su · 2023 · Physical Review Letters
86. Simulation of Nonlinear Femtosecond Signals at Finite Temperature via a Thermo Field Dynamics-Tensor Train Method: General Theory and Application to Time- and Frequency-Resolved Fluorescence of the Fenna–Matthews–Olson Complex
    Maxim F. Gelin, Raffaele Borrelli · 2021 · Journal of Chemical Theory and Computation
87. Automatic Evolution of Machine-Learning-Based Quantum Dynamics with Uncertainty Analysis
    Kunni Lin, Jiawei Peng, Chao Xu, Feng Long Gu, Zhenggang Lan · 2022 · Journal of Chemical Theory and Computation
88. Coexistence of localization and transport in many-body two-dimensional Aubry-André models
    Antonio Štrkalj, Elmer V. H. Doggen, Claudio Castelnovo · 2022 · Physical review. B./Physical review. B
89. Exceptional points in the one-dimensional Hubbard model
    Roman Rausch, Robert Peters, Tsuneya Yoshida · 2020 · New Journal of Physics
90. Stable iPEPO Tensor-Network Algorithm for Dynamics of Two-Dimensional Open Quantum Lattice Models
    Conor Mc Keever, Marzena Hanna Szymańska · 2021 · Physical Review X
91. Matrix product states approaches to operator spreading in ergodic quantum systems
    Kévin Hémery, Frank Pollmann, David J. Luitz · 2019 · Physical review. B./Physical review. B
92. Locally Accurate Tensor Networks for Thermal States and Time Evolution
    Alvaro Martin Alhambra, J. I. Cirac · 2021 · PRX Quantum
93. Propagation of errors and quantitative quantum simulation with quantum advantage
    Stuart Flannigan, Natalie Pearson, Guang Hao Low, Anton S. Buyskikh, Immanuel Bloch, P. Zoller, Matthias Troyer, Andrew J. Daley · 2022 · Quantum Science and Technology
94. Quench dynamics of the Anderson impurity model at finite temperature using matrix product states: entanglement and bath dynamics
    Lucas Kohn, Giuseppe E. Santoro · 2022 · Journal of Statistical Mechanics Theory and Experiment
95. Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
    G. De Filippis, ANTONIO DE CANDIA, G. Di Bello, C. A. Perroni, Loris Maria Cangemi, Alberto Nocera, Maura Sassetti, Rosario Fazio, V. Cataudella · 2023 · Physical Review Letters
96. Ultrafast ab Initio Quantum Chemistry Using Matrix Product States
    Lars-Hendrik Frahm, Daniela Pfannkuche · 2019 · Journal of Chemical Theory and Computation
97. Impact of Vibrational Modes in the Plasmonic Purcell Effect of Organic Molecules
    Dongxing Zhao, Rui E. F. Silva, Clàudia Climent, Johannes Feist, Antonio I. Fernández-Domínguez, Francisco José García-Vidal · 2020 · ACS Photonics
98. Local quench spectroscopy of many-body quantum systems
    Louis Villa, Julien Despres, S. J. Thomson, Laurent Sanchez-Palencia · 2020 · Physical Review A
99. Many-body localization in large systems: Matrix-product-state approach
    Elmer V. H. Doggen, I. V. Gornyi, A. D. Mirlin, Dmitry G. Polyakov · 2021 · Annals of Physics
100. Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
     Jad C. Halimeh, Maarten Van Damme, Lingzhen Guo, Johannes Lang, Philipp Hauke · 2021 · Physical review. B./Physical review. B