Unifying time evolution and optimization with matrix product states

Cited by (803)

Items 201–300 of 803

1. Quantum quasi Monte Carlo algorithm for out-of-equilibrium Green functions at long times
   Corentin Bertrand, Daniel Bauernfeind, Philipp T. Dumitrescu, Marjan Maček, Xavier Waintal, Olivier Parcollet · 2021 · Physical review. B./Physical review. B
2. Nonergodic dynamics in disorder-free potentials
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3. Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit
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4. The antiferromagnetic $S=1/2$ Heisenberg model on the C$_{60}$ fullerene geometry
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5. Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations
   Micheline B. Soley, Paul Bergold, Alex Arkady Gorodetsky, Víctor S. Batista · 2021 · Journal of Chemical Theory and Computation
6. Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics
   Alexander Schuckert, Annabelle Bohrdt, Eleanor Crane, Michael Knap · 2023 · Physical review. B./Physical review. B
7. Realtime dynamics of hyperon spin correlations from string fragmentation in a deformed four-flavor Schwinger model
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8. Time-Dependent Variational Principle with Controlled Bond Expansion for Matrix Product States
   Jheng-Wei Li, Andreas Gleis, Jan von Delft · 2024 · Physical Review Letters
9. Tensor networks for quantum computing
   A. V. Berezutskii, Minzhao Liu, Atithi Acharya, Roman Ellerbrock, Johnnie Gray, Reza Haghshenas, Zichang He, Abid Khan, Viacheslav Kuzmin, Dmitry I. Lyakh et al. · 2025 · Nature Reviews Physics
10. Spin transport in a long-range-interacting spin chain
    Benedikt Kloss, Yevgeny Bar Lev · 2019 · Physical Review A
11. Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency
    Giovanni Cataldi, Ashkan Abedi, Giuseppe Magnifico, Simone Notarnicola, Nicola Dalla Pozza, Vittorio Giovannetti, Simone Montangero · 2021 · Quantum
12. Explicitly Correlated Electronic Structure Calculations with Transcorrelated Matrix Product Operators
    Alberto Baiardi, Michał Lesiuk, Markus Reiher · 2022 · Journal of Chemical Theory and Computation
13. State-resolved infrared spectrum of the protonated water dimer: revisiting the characteristic proton transfer doublet peak
    Henrik R. Larsson, Markus Schröder, Richard Beckmann, Fabien Brieuc, Christoph Schran, Dominik Marx, Oriol Vendrell · 2022 · Chemical Science
14. Anatomy of dynamical quantum phase transitions
    Maarten Van Damme, Jean-Yves Desaules, Zlatko Papić, Jad C. Halimeh · 2023 · Physical Review Research
15. Efficient Large-Scale Many-Body Quantum Dynamics via Local-Information Time Evolution
    Claudia Artiaco, Christoph Fleckenstein, David Aceituno Chávez, Thomas Klein Kvorning, Jens Hjorleifur Bardarson · 2024 · PRX Quantum
16. Electron Dynamics with the Time-Dependent Density Matrix Renormalization Group
    Alberto Baiardi · 2021 · Journal of Chemical Theory and Computation
17. Cold-Atom Particle Collider
    Guo-Xian Su, Jesse J. Osborne, Jad C. Halimeh · 2024 · PRX Quantum
18. Double magnon-roton excitations in the triangular-lattice spin supersolid
    Yuan Gao, Chuandi Zhang, Junsen Xiang, Dehong Yu, Xingye Lu, Peijie Sun, Wentao Jin, Gang Su, Wei Li · 2024 · Physical review. B./Physical review. B
19. Reversible and Topotactic Solvent Removal in a Magnetic Ni(NCS)2 Coordination Polymer
    Stefan Suckert, Michał Rams, Marek M. Rams, Christian Näther · 2017 · Inorganic Chemistry
20. Real-time scattering of interacting quasiparticles in quantum spin chains
    Maarten Van Damme, Laurens Vanderstraeten, Jacopo De Nardis, Jutho Haegeman, Frank Verstraete · 2021 · Physical Review Research
21. Matrix product state algorithms for Gaussian fermionic states
    Norbert Schuch, Bela Bauer · 2019 · Physical review. B./Physical review. B
22. Comparative study of state-of-the-art matrix-product-state methods for lattice models with large local Hilbert spaces without U(1) symmetry
    Jan Stolpp, Thomas Köhler, Salvatore R. Manmana, Eric Jeckelmann, Fabian Heidrich‐Meisner, Sebastian Paeckel · 2021 · Computer Physics Communications
23. Recent progress on quantum simulations of non-standard Bose–Hubbard models
    Titas Chanda, Luca Barbiero, Maciej Lewenstein, Manfred J. Mark, Jakub Zakrzewski · 2025 · Reports on Progress in Physics
24. Superfluid-to-Mott transition in a Bose-Hubbard ring: Persistent currents and defect formation
    Lucas Kohn, Pietro Silvi, Matthias Gerster, M. Keck, Rosario Fazio, Giuseppe E. Santoro, Simone Montangero · 2020 · Physical Review A
25. Simulating Quantum Vibronic Dynamics at Finite Temperatures With Many Body Wave Functions at 0 K
    Angus Dunnett, Alex W. Chin · 2021 · Frontiers in Chemistry
26. Dynamical quantum phase transitions in spin- S U(1) quantum link models
    Maarten Van Damme, Torsten V. Zache, Debasish Banerjee, Philipp Hauke, Jad C. Halimeh · 2022 · Physical review. B./Physical review. B
27. Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
    D. J. Jansen, J. Bonča, Fabian Heidrich‐Meisner · 2022 · Physical review. B./Physical review. B
28. Survey of the hierarchical equations of motion in tensor-train format for non-Markovian quantum dynamics
    Étienne Mangaud, Amine Jaouadi, Alex W. Chin, Michèle Desouter-Lecomte · 2023 · The European Physical Journal Special Topics
29. Density-matrix renormalization group: a pedagogical introduction
    Gonçalo Catarina, Bruno Murta · 2023 · The European Physical Journal B
30. Clifford Circuits Augmented Time-Dependent Variational Principle
    Xiangjian Qian, Jiale Huang, Mingpu Qin · 2025 · Physical Review Letters
31. Compact wavefunctions from compressed imaginary time evolution
    Jarrod R. McClean, Alán Aspuru‐Guzik · 2015 · RSC Advances
32. Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell
    Alexander Nietner, Bram Vanhecke, Frank Verstraete, Jens Eisert, Laurens Vanderstraeten · 2020 · Quantum
33. Continuous matrix product states with periodic boundary conditions and an application to atomtronics
    Draxler, Damian, Haegeman, Jutho, Verstraete, Frank, Rizzi, Matteo · 2017 · Physical Review B
34. Fingerprint and Universal Markovian Closure of Structured Bosonic Environments
    Alexander Nüßeler, Dario Tamascelli, Andrea Smirne, James Lim, Susana F. Huelga, Martin Bodo Plenio · 2022 · Physical Review Letters
35. Coherent Many-Body Oscillations Induced by a Superposition of Broken Symmetry States in the Wake of a Quantum Phase Transition
    Jacek Dziarmaga, Marek M. Rams, Wojciech Hubert Zurek · 2022 · Physical Review Letters
36. Spectral properties of a one-dimensional extended Hubbard model from bosonization and time-dependent variational principle: Applications to one-dimensional cuprates
    Hao-Xin Wang, Yiming Wu, Yi‐Fan Jiang, Hong Yao · 2024 · Physical review. B./Physical review. B
37. Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation
    Jannes Nys, Gabriel Pescia, Alessandro Sinibaldi, Giuseppe Carleo · 2024 · Nature Communications
38. The time-dependent density matrix renormalisation group method
    Haibo Ma, Zhen Luo, Yao Yao · 2017 · Molecular Physics
39. Stochastic Adaptive Single-Site Time-Dependent Variational Principle
    Yihe Xu, Zhaoxuan Xie, Xiaoyu Xie, Ulrich Schollwöck, Haibo Ma · 2022 · JACS Au
40. Frozen non-equilibrium dynamics of exciton Mott insulators in moiré superlattices
    Shibin Deng, Heonjoon Park, Jonas Reimann, Jonas M. Peterson, Daria D. Blach, Meng‐Jia Sun, Tengfei Yan, Dewei Sun, Takashi Taniguchi, Kenji Watanabe et al. · 2025 · Nature Materials
41. Characterizing topological excitations of a long-range Heisenberg model with trapped ions
    Stefan Birnkammer, Annabelle Bohrdt, Fabian Grusdt, Michael Knap · 2022 · Physical review. B./Physical review. B
42. Tree tensor-network real-time multiorbital impurity solver: Spin-orbit coupling and correlation functions in Sr2RuO4
    Xiaodong Cao, Yi Lu, P. Hansmann, M. W. Haverkort · 2021 · Physical review. B./Physical review. B
43. Adaptive-weighted tree tensor networks for disordered quantum many-body systems
    Giovanni Ferrari, Giuseppe Magnifico, Simone Montangero · 2022 · Physical review. B./Physical review. B
44. Neutral excitations of quantum Hall states: A density matrix renormalization group study
    Prashant Kumar, F. D. M. Haldane · 2022 · Physical review. B./Physical review. B
45. Rank-Adaptive Time Integration of Tree Tensor Networks
    Gianluca Ceruti, Christian Lubich, Dominik Sulz · 2023 · SIAM Journal on Numerical Analysis
46. Clifford Dressed Time-Dependent Variational Principle
    Antonio Francesco Mello, Alessandro Santini, Guglielmo Lami, Jacopo De Nardis, Mario Collura · 2025 · Physical Review Letters
47. Quantum caustics and the hierarchy of light cones in quenched spin chains
    W. Kirkby, J. Mumford, D. H. J. O'Dell · 2019 · Physical Review Research
48. Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems
    Tomohiro Hashizume, Jad C. Halimeh, Ian P. McCulloch · 2020 · Physical review. B./Physical review. B
49. Comparison of the multi-layer multi-configuration time-dependent Hartree (ML-MCTDH) method and the density matrix renormalization group (DMRG) for ground state properties of linear rotor chains
    Samrit Mainali, Fabien Gatti, Dmitri Iouchtchenko, Pierre–Nicholas Roy, Hans‐Dieter Meyer · 2021 · The Journal of Chemical Physics
50. mpsqd: A matrix product state based Python package to simulate closed and open system quantum dynamics
    Wei-Zhong Guan, Peng Bao, Jiawei Peng, Zhenggang Lan, Qiang Shi · 2024 · The Journal of Chemical Physics
51. Preparing valence-bond-solid states on noisy intermediate-scale quantum computers
    Bruno Murta, Pedro M. Q. Cruz, Joaquín Fernández-Rossier · 2023 · Physical Review Research
52. Bridging quantum criticality via many-body scarring
    Aiden Daniel, Andrew Hallam, Jean-Yves Desaules, Ana Hudomal, Guo-Xian Su, Jad C. Halimeh, Zlatko Papić · 2023 · Physical review. B./Physical review. B
53. Insights into the mechanisms of optical cavity-modified ground-state chemical reactions
    Yaling Ke, Jeremy O. Richardson · 2024 · The Journal of Chemical Physics
54. Benchmarking various nonadiabatic semiclassical mapping dynamics methods with tensor-train thermo-field dynamics
    Zengkui Liu, Ningyi Lyu, Zhubin Hu, Hao Zeng, Víctor S. Batista, Xiang Sun · 2024 · The Journal of Chemical Physics
55. Tangent-space methods for truncating uniform MPS
    Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete · 2021 · SciPost Physics Core
56. Unveiling non-Markovian spacetime signaling in open quantum systems with long-range tensor network dynamics
    Thibaut Lacroix, Angus Dunnett, Dominic Gribben, Brendon W. Lovett, Alex W. Chin · 2021 · Physical Review A
57. Quantum Gross-Pitaevskii Equation
    Jutho Haegeman, Damian Draxler, Vid Stojevic, J. I. Cirac, Tobias J. Osborne, Frank Verstraete · 2017 · SciPost Physics
58. Non-equilibrium relaxation of hot states in organic semiconductors: Impact of mode-selective excitation on charge transfer
    Antonios M. Alvertis, Florian A. Y. N. Schröder, Alex W. Chin · 2019 · The Journal of Chemical Physics
59. On the fly swapping algorithm for ordering of degrees of freedom in density matrix renormalization group
    Weitang Li, Jiajun Ren, Hengrui Yang, Zhigang Shuai · 2022 · Journal of Physics Condensed Matter
60. Evolution of many-body systems under ancilla quantum measurements
    Elmer V. H. Doggen, Yuval Gefen, I. V. Gornyi, A. D. Mirlin, Dmitry G. Polyakov · 2023 · Physical review. B./Physical review. B
61. Many-body delocalization from embedded thermal inclusion
    J. Clayton Peacock, Dries Sels · 2023 · Physical review. B./Physical review. B
62. Field-induced bound-state condensation and spin-nematic phase in SrCu2(BO3)2 revealed by neutron scattering up to 25.9 T
    Ellen Fogh, Mithilesh Nayak, O. Prokhnenko, Maciej Bartkowiak, Koji Munakata, Jian-Rui Soh, Alexandra A. Turrini, Mohamed Zayed, Ekaterina V. Pomjakushina, Hiroshi Kageyama et al. · 2024 · Nature Communications
63. Numerical simulation of long-range open quantum many-body dynamics with tree tensor networks
    Dominik Sulz, Christian Lubich, Gianluca Ceruti, Igor Lesanovsky, Federico Carollo · 2024 · Physical Review A
64. Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
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65. Optimal tree tensor network operators for tensor network simulations: Applications to open quantum systems
    Weitang Li, Jiajun Ren, Hengrui Yang, Haobin Wang, Zhigang Shuai · 2024 · The Journal of Chemical Physics
66. Tangent space formulation of the Multi-Configuration Time-Dependent Hartree equations of motion: The projector–splitting algorithm revisited
    Matteo Bonfanti, Irène Burghardt · 2018 · Chemical Physics
67. Loop-free tensor networks for high-energy physics
    Simone Montangero, E. Rico, Pietro Silvi · 2021 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
68. Variational Quantum Dynamics of Two-Dimensional Rotor Models
    Matija Medvidović, Dries Sels · 2023 · PRX Quantum
69. Magnon spectrum of altermagnets beyond linear spin wave theory: Magnon-magnon interactions via time-dependent matrix product states versus atomistic spin dynamics
    Federico Garcia-Gaitan, Ali Kefayati, John Q. Xiao, Branislav K. Nikolić · 2025 · Physical review. B./Physical review. B
70. Unbiasing fermionic auxiliary-field quantum Monte Carlo with matrix product state trial wavefunctions
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71. Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order
    Yuchen Guo, Shuo Yang · 2025 · Physical review. B./Physical review. B
72. Matrix product state renormalization
    Matthias Bal, Marek M. Rams, Valentin Zauner-Stauber, Jutho Haegeman, Frank Verstraete · 2016 · Physical review. B./Physical review. B
73. Filling-dependent doublon dynamics in the one-dimensional Hubbard model
    Roman Rausch, Michael Potthoff · 2017 · Physical review. B./Physical review. B
74. Thermal states as convex combinations of matrix product states
    Mario Berta, Fernando G. S. L. Brandão, Jutho Haegeman, Volkher B. Scholz, Frank Verstraete · 2018 · Physical review. B./Physical review. B
75. Dissipation assisted Thouless pumping in the Rice–Mele model
    Luca Arceci, Lucas Kohn, Angelo Russomanno, Giuseppe E. Santoro · 2020 · Journal of Statistical Mechanics Theory and Experiment
76. Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
    Martijn ten Brink, S. Gräber, Miroslav Hopjan, D. J. Jansen, Jan Stolpp, Fabian Heidrich‐Meisner, Peter E. Blöchl · 2022 · The Journal of Chemical Physics
77. Synthetic $${{\mathbb{Z}}}_{2}$$ gauge theories based on parametric excitations of trapped ions
    O. Băzăvan, Sebastian Saner, Emanuele Tirrito, G. Araneda, R. Srinivas, A. Bermúdez · 2024 · Communications Physics
78. Quantum nature of reactivity modification in vibrational polariton chemistry
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79. Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
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80. Quenches near criticality of the quantum Ising chain—power and limitations of the discrete truncated Wigner approximation
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81. Spin Models, Dynamics, and Criticality with Atoms in Tilted Optical Superlattices
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82. Performance of reservoir discretizations in quantum transport simulations
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83. Time evolution of ML-MCTDH wavefunctions. I. Gauge conditions, basis functions, and singularities
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84. Complex time evolution in tensor networks and time-dependent Green's functions
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85. Measurement-induced phase transitions by matrix product states scaling
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86. Quantized tensor networks for solving the Vlasov–Maxwell equations
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87. Thermal Control of Spin Excitations in the Coupled Ising-Chain Material RbCoCl3
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88. Entanglement in the quantum Game of Life
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89. Dynamics of the order parameter statistics in the long range Ising model
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90. Inertia effects in the real-time dynamics of a quantum spin coupled to a Fermi sea
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91. Real-time scattering in Ising field theory using matrix product states
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92. Nonequilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
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93. Managing temperature in open quantum systems strongly coupled with structured environments
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94. YASTN: Yet another symmetric tensor networks; A Python library for Abelian symmetric tensor network calculations
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95. A numerically exact description of ultrafast vibrational decoherence in vibration-coupled electron transfer
    Yuanheng Wang, Alfy Benny, Brieuc Le Dé, Alex W. Chin, Gregory D. Scholes · 2025 · Proceedings of the National Academy of Sciences
96. Quantum error mitigation in quantum annealing
    Jack Raymond, M. H. S. Amin, Andrew D. King, Richard Harris, William Bernoudy, A. J. Berkley, Kelly Boothby, Anatoly Yu. Smirnov, Fabio Altomare, Michael C. Babcock et al. · 2025 · npj Quantum Information
97. Configuration-controlled many-body localization and the mobility emulsion
    Michael Schecter, Thomas Iadecola, S. Das Sarma · 2018 · Physical review. B./Physical review. B
98. Nonreciprocal quantum transport at junctions of structured leads
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99. Hybrid purification and sampling approach for thermal quantum systems
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100. Reliability of lattice gauge theories in the thermodynamic limit
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