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Many-body localization is a striking mechanism that prevents interacting quantum systems from thermalizing.
Quantum chaos challenges many-body localization (2019)
Suntajs, J., Bonca, J., Prosen, T. & Vidmar, L · 1905
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Li, L. & Zhang, L · 1906
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Simulation methods for open quantum many-body systems
Weimer, H., Kshetrimayum, A. & Orús, R · 1907
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Harnessing symmetry-protected topological order for quantum memories (2019)
Goihl, M., Walk, N., Eisert, J. & Tarantino, N · 1908
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Many-body localization in the two dimensional Bose-Hubbard model
Geißler, A. & Pupillo, G · 1909
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Anderson localization for Bernoulli and other singular potentials
Carmona, R., Klein, A. & Martinelli, F · 1987
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Corner transfer matrix renormalization group method
Nishino, T. & Okunishi, K · 1996
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Corner transfer matrix algorithm for classical renormalization group
Nishino, T. & Okunishi, K · 1997
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Dynamical localization for the random dimer schrödinger operator
Bievre, S. D. & Germinet, F · 2000
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Exploiting quantum parallelism to simulate quantum random many-body systems
Paredes, B., Verstraete, F. & Cirac, J. I · 2005
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Disordered ultracold atomic gases in optical lattices: A case study of fermi-bose mixtures
Ahufinger, V., Sanchez-Palencia, L., Kantian, A., Sanpera, A. & Lewenstein, M · 2005
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Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
Basko, D. M., Aleiner, I. L. & Altshuler, B. L · 2006
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General entanglement scaling laws from time evolution
Eisert, J. & Osborne, T. J · 2006
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Criticality, the area law, and the computational power of projected entangled pair states
Verstraete, F., Wolf, M. M., Perez-Garcia, D. & Cirac, J. I · 2006
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An Invitation to random Schroedinger operators (2007)
Kirsch, W · 2007
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A short introduction to Anderson localization
Hundertmark, D · 2007
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Many-body localization in the Heisenberg XXZ magnet in a random field
Znidaric, M., Prosen, T. & Prelovsek, P · 2008
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Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
Verstraete, F., Cirac, J. I. & Murg, V · 2008
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Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
Jordan, J., Orus, R., Vidal, G., Verstraete, F. & Cirac, J. I · 2008
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Accurate determination of tensor network state of quantum lattice models in two dimensions
Jiang, H. C., Weng, Z. Y. & Xiang, T · 2008
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Exploring local quantum many-body relaxation by atoms in optical superlattices
Cramer, M., Flesch, A., McCulloch, I. P., Schollwöck, U. & Eisert, J · 2008
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On entropy growth and the hardness of simulating time evolution
Schuch, N., Wolf, M. M., Vollbrecht, K. G. H. & Cirac, J. I · 2008
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Quenching, relaxation, and a central limit theorem for quantum lattice systems
Cramer, M., Dawson, C. M., Eisert, J. & Osborne, T. J · 2008
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Quantum simulators, continuous-time automata, and translationally invariant systems
Vollbrecht, K. G. H. & Cirac, J. I · 2008
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Entropy scaling and simulability by matrix product states
Schuch, N., Wolf, M. M., Verstraete, F. & Cirac, J. I · 2008
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One-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
Mering, A. & Fleischhauer, M · 2008
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Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction
Orús, R. & Vidal, G · 2009
Cited alongside, same era.
The many-body localization transition
Pal, A. & Huse, D. A · 2010
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Area laws for the entanglement entropy
Eisert, J., Cramer, M. & Plenio, M. B · 2010
Cited alongside, same era.
Non-equilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A. & Vengalattore, M · 2011
Cited alongside, same era.
An introduction to the mathematics of Anderson localization
Stolz, G · 2011
Cited alongside, same era.
Unbounded growth of entanglement in models of many-body localization
Bardarson, J. H., Pollmann, F. & Moore, J. E · 2012
Cited alongside, same era.
Spin- 1 2 \frac{1}{2} Kagome XXZ model in a field: Competition between lattice nematic and solid orders
Kshetrimayum, A., Picot, T., Orús, R. & Poilblanc, D · 2016
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Exploring the many-body localization transition in two dimensions
Choi, J.-Y. et al · 2016
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Demonstration of a small programmable quantum computer with atomic qubits
Debnath, S. et al · 2016
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Dynamics of quantum information in many-body localized systems
Bañuls, M. C., Yao, N. Y., Choi, S., Lukin, M. D. & Cirac, J. I · 2017
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Probing slow relaxation and many-body localization in two-dimensional quasi-periodic systems
Bordia, P. et al · 2017
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Stability and instability towards delocalization in many-body localization systems
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Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas
Trotzky, S. et al · 2012
Cited alongside, same era.
Projected entangled pair states at finite temperature: Imaginary time evolution with ancillas
Czarnik, P., Cincio, L. & Dziarmaga, J · 2012
Cited alongside, same era.
Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems
Orús, R · 2012
Cited alongside, same era.
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J. & Nascimbene, S · 2012
Cited alongside, same era.
Goals and opportunities in quantum simulation
Cirac, J. I. & Zoller, P · 2012
Cited alongside, same era.
Universal slow growth of entanglement in interacting strongly disordered systems
Serbyn, M., Papić, Z. & Abanin, D. A · 2013
Cited alongside, same era.
De Roeck, W. & Huveneers, F · 2017
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Phil. Trans. R. Soc. A 375
Many-body localization: Stability and instability · 2017
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A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems
Abanin, D., De Roeck, W., Ho, W. W. & Huveneers, F · 2017
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Gapless spin-liquid ground state in the s = 1 / 2 s=1/2 kagome antiferromagnet
Liao, H. J. et al · 2017
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Nat. Commun. 8
Kshetrimayum, A., Weimer, H. & Orus, R · 2017
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Many-body localization in infinite chains
Enss, T., Andraschko, F. & Sirker, J · 2017
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Nature 551
Bernien, H. et al · 2017
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Quantum many-body systems and tensor network algorithms
Kshetrimayum, A · 2017
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Construction of exact constants of motion and effective models for many-body localized systems
Goihl, M., Gluza, M., Krumnow, C. & Eisert, J · 2018
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Many-body localization in two dimensions from projected entangled-pair states
Kennes, M., D · 2018
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Colloquium: Many-body localization, thermalization, and entanglement
Abanin, D. A., Altman, E., Bloch, I. & Serbyn, M · 2019
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Probing entanglement in a many-body-localized system
Lukin, A. et al · 2019
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Signatures of the many-body localized regime in two dimensions
Wahl, T. B., Pal, A. & Simon, S. H · 2019
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Time-dependent study of disordered models with infinite projected entangled pair states
Hubig, C. & Cirac, J. I · 2019
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Efficiently solving the dynamics of many-body localized systems at strong disorder
De Tomasi, G., Pollmann, F. & Heyl, M · 2019
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Tensor network annealing algorithm for two-dimensional thermal states
Kshetrimayum, A., Rizzi, M., Eisert, J. & Orús, R · 2019
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Time evolution of an infinite projected entangled pair state: An efficient algorithm
Czarnik, P., Dziarmaga, J. & Corboz, P · 2019
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Tensor network investigation of the double layer Kagome compound C 10
Kshetrimayum, A., Balz, C., Lake, B. & Eisert, J · 2020
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Two-body repulsive bound pairs in a multi-body interacting Bose-Hubbard model
Mondal, S., Kshetrimayum, A. & Mishra, T · 2020
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Dynamical structure factors of dynamical quantum simulators
Baez, M. L. et al · 2020
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Quantum certification and benchmarking
Eisert, J. et al · 2020
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