Fetching the paper…
Reading the bibliography…
Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly challenging for dynamics of systems with more than one spatial dimension.
H. F. Trotter, On the product of semi-groups of operators , Proc. Amer. Math. Soc. 10
1959
Earlier work this paper cites.
M. Suzuki, Pair-product model of Heisenberg ferromagnets , J. Phys. Soc. Jpn. 21
1966
Earlier work this paper cites.
E. H. Lieb and D. W. Robinson, The finite group velocity of quantum spin systems , Commun. Math. Phys. 28
1972
Earlier work this paper cites.
M. Suzuki, Relationship between d-dimensional quantal spin systems and (d+1)-dimensional ising systems: Equivalence, critical exponents and systematic approximants of the partition function and spin correlations , Prog. Theor. Phys. 56
1976
Earlier work this paper cites.
M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Boson localization and the superfluid-insulator transition , Phys. Rev. B 40
1989
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner Transfer Matrix Renormalization Group Method , J. Phys. Soc. Jpn. 65
1996
Earlier work this paper cites.
T. Nishino and K. Okunishi, Corner transfer matrix algorithm for classical renormalization group , J. Phys. Soc. Jpn. 66
1997
Earlier work this paper cites.
D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Cold Bosonic Atoms in Optical Lattices , Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
Y. Hieida, K. Okunishi, and Y. Akutsu, Numerical renormalization approach to two-dimensional quantum antiferromagnets with valence-bond-solid type ground state , New J. Phys. 1
1999
Earlier work this paper cites.
N. Elstner and H. Monien, Dynamics and thermodynamics of the Bose-Hubbard model , Phys. Rev. B 59
1999
Earlier work this paper cites.
T. Nishino, T. Hikihara, K. Okunishi, and Y. Hieida, Density matrix renormalization group: Introduction from a variational point of view , Int. J. Mod. Phys. B 13
1999
Earlier work this paper cites.
K. Okunishi and T. Nishino, Kramers-Wannier approximation for the 3D Ising model , Prog. Theor. Phys. 103
2000
Earlier work this paper cites.
M. A. Martín-Delgado, M. Roncaglia, and G. Sierra, Stripe ansätze from exactly solved models , Phys. Rev. B 64
2001
Earlier work this paper cites.
T. Nishino, Y. Hieida, K. Okunishi, N. Maeshima, Y. Akutsu, and A. Gendiar, Two-dimensional tensor product variational formulation , Prog. Theor. Phys. 105
2001
Earlier work this paper cites.
N. Maeshima, Y. Hieida, Y. Akutsu, T. Nishino, and K. Okunishi, Vertical density matrix algorithm: A higher-dimensional numerical renormalization scheme based on the tensor product state ansatz , Phys. Rev. E 64
2001
Earlier work this paper cites.
M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms , Nature 415
2002
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Valence-bond states for quantum computation , Phys. Rev. A 70
2004
Earlier work this paper cites.
S. D. Huber, E. Altman, H. P. Büchler, and G. Blatter, Dynamical properties of ultracold bosons in an optical lattice , Phys. Rev. B 75
2007
Earlier work this paper cites.
V. Murg, F. Verstraete, and J. I. Cirac, Variational study of hard-core bosons in a two-dimensional optical lattice using projected entangled pair states , Phys. Rev. A 75
2007
Earlier work this paper cites.
A. M. Läuchli and C. Kollath, Spreading of correlations and entanglement after a quench in the one-dimensional Bose–Hubbard model , J. Stat. Mech. Theory Exp. 2008
2008
Earlier work this paper cites.
F. Verstraete, V. Murg, and J. I. Cirac, Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems , Adv. Phys. 57
2008
Earlier work this paper cites.
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions , Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
B. Capogrosso-Sansone, Ş. G. Söyler, N. Prokof’ev, and B. Svistunov, Monte Carlo study of the two-dimensional Bose-Hubbard model , Phys. Rev. A 77
2008
Earlier work this paper cites.
H. C. Jiang, Z. Y. Weng, and T. Xiang, Accurate Determination of Tensor Network State of Quantum Lattice Models in Two Dimensions , Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
J. Jordan, R. Orús, and G. Vidal, Numerical study of the hard-core Bose-Hubbard model on an infinite square lattice , Phys. Rev. B 79
2009
Earlier work this paper cites.
R. Orús and G. Vidal, Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction , Phys. Rev. B 80
2009
Earlier work this paper cites.
P. Corboz, J. Jordan, and G. Vidal, Simulation of fermionic lattice models in two dimensions with projected entangled-pair states: Next-nearest neighbor Hamiltonians , Phys. Rev. B 82
2010
Cited alongside, same era.
N. Schuch, S. K. Harrison, T. J. Osborne, and J. Eisert, Information propagation for interacting-particle systems , Phys. Rev. A 84
2011
Cited alongside, same era.
P. Corboz, S. R. White, G. Vidal, and M. Troyer, Stripes in the two-dimensional t t - J J model with infinite projected entangled-pair states , Phys. Rev. B 84
2011
Cited alongside, same era.
M. Cheneau, P. Barmettler, D. Poletti, M. Endres, P. Schauß, T. Fukuhara, C. Gross, I. Bloch, C. Kollath, and S. Kuhr, Light-cone-like spreading of correlations in a quantum many-body system , Nature 481
2012
Cited alongside, same era.
J. Despres, L. Villa, and L. Sanchez-Palencia, Twofold correlation spreading in a strongly correlated lattice Bose gas , Sci. Rep. 9
2019
Later among the works it cites.
R. Orús, Tensor networks for complex quantum systems , Nat. Rev. Phys. 1
2019
Later among the works it cites.
P. Czarnik, J. Dziarmaga, and P. Corboz, Time evolution of an infinite projected entangled pair state: An efficient algorithm , Phys. Rev. B 99
2019
Later among the works it cites.
C. Hubig and J. I. Cirac, Time-dependent study of disordered models with infinite projected entangled pair states , SciPost Phys. 6
2019
Later among the works it cites.
P. Weinberg and M. Bukov, QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins , SciPost Phys. 7
2019
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2012
Cited alongside, same era.
P. Barmettler, D. Poletti, M. Cheneau, and C. Kollath, Propagation front of correlations in an interacting Bose gas , Phys. Rev. A 85
2012
Cited alongside, same era.
P. Jurcevic, B. P. Lanyon, P. Hauke, C. Hempel, P. Zoller, R. Blatt, and C. F. Roos, Quasiparticle engineering and entanglement propagation in a quantum many-body system , Nature 511
2014
Cited alongside, same era.
G. Carleo, F. Becca, L. Sanchez-Palencia, S. Sorella, and M. Fabrizio, Light-cone effect and supersonic correlations in one- and two-dimensional bosonic superfluids , Phys. Rev. A 89
2014
Cited alongside, same era.
R. Orús, A practical introduction to tensor networks: Matrix product states and projected entangled pair states , Ann. Phys. (N.Y.) 349
2014
Cited alongside, same era.
P. Corboz, T. M. Rice, and M. Troyer, Competing States in the t t - J J Model: Uniform d d -Wave State versus Stripe State , Phys. Rev. Lett. 113
2014
Cited alongside, same era.
T. Langen, S. Erne, R. Geiger, B. Rauer, T. Schweigler, M. Kuhnert, W. Rohringer, I. E. Mazets, T. Gasenzer, and J. Schmiedmayer, Experimental observation of a generalized Gibbs ensemble , Science 348
2015
Cited alongside, same era.
M. Schreiber, S. S. Hodgman, P. Bordia, H. P. Lüschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider, and I. Bloch, Observation of many-body localization of interacting fermions in a quasirandom optical lattice , Science 349
2015
Cited alongside, same era.
A. Kshetrimayum, M. Rizzi, J. Eisert, and R. Orús, Tensor Network Annealing Algorithm for Two-Dimensional Thermal States , Phys. Rev. Lett. 122
2019
Later among the works it cites.
S. S. Jahromi and R. Orús, Universal tensor-network algorithm for any infinite lattice , Phys. Rev. B 99
2019
Later among the works it cites.
Y. Takasu, T. Yagami, H. Asaka, Y. Fukushima, K. Nagao, S. Goto, I. Danshita, and Y. Takahashi, Energy redistribution and spatio-temporal evolution of correlations after a sudden quench of the Bose-Hubbard model , Sci. Adv. 6
2020
Later among the works it cites.
Z. Wang and K. R. A. Hazzard, Tightening the Lieb-Robinson Bound in Locally Interacting Systems , PRX Quantum 1
2020
Later among the works it cites.
A. Kshetrimayum, M. Goihl, and J. Eisert, Time evolution of many-body localized systems in two spatial dimensions , Phys. Rev. B 102
2020
Later among the works it cites.
C. Hubig, A. Bohrdt, M. Knap, F. Grusdt, and J. I. Cirac, Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model , SciPost Phys. 8
2020
Later among the works it cites.
S. S. Jahromi and R. Orús, Thermal bosons in 3d optical lattices via tensor networks , Sci. Rep. 10
2020
Later among the works it cites.
P. Schmoll, S. S. Jahromi, M. Hörmann, M. Mühlhauser, K. P. Schmidt, and R. Orús, Fine Grained Tensor Network Methods , Phys. Rev. Lett. 124
2020
Later among the works it cites.
W.-L. Tu, H.-K. Wu, and T. Suzuki, Frustration-induced supersolid phases of extended Bose-Hubbard model in the hard-core limit , J. Phys.: Cond. Mat. 32
2020
Later among the works it cites.
H.-K. Wu and W.-L. Tu, Competing quantum phases of hard-core bosons with tilted dipole-dipole interaction , Phys. Rev. A 102
2020
Later among the works it cites.
K. Nagao, Y. Takasu, Y. Takahashi, and I. Danshita, SU(3) truncated Wigner approximation for strongly interacting Bose gases , Phys. Rev. Research 3
2021
Closest in time.
A. Mokhtari-Jazi, M. R. C. Fitzpatrick, and M. P. Kennett, Phase and group velocities for correlation spreading in the Mott phase of the Bose-Hubbard model in dimensions greater than one , Phys. Rev. A 103
2021
Closest in time.
T. Kuwahara and K. Saito, Lieb-Robinson Bound and Almost-Linear Light Cone in Interacting Boson Systems , Phys. Rev. Lett. 127
2021
Closest in time.
A. Kshetrimayum, M. Goihl, D. M. Kennes, and J. Eisert, Quantum time crystals with programmable disorder in higher dimensions , Phys. Rev. B 103
2021
Closest in time.
A. M. Alhambra and J. I. Cirac, Locally Accurate Tensor Networks for Thermal States and Time Evolution , PRX Quantum 2
2021
Closest in time.
J. Dziarmaga, Time evolution of an infinite projected entangled pair state: Neighborhood tensor update , Phys. Rev. B 104
2021
Closest in time.
H. Weimer, A. Kshetrimayum, and R. Orús, Simulation methods for open quantum many-body systems , Rev. Mod. Phys. 93
2021
Closest in time.
C. Mc Keever and M. H. Szymańska, Stable iPEPO Tensor-Network Algorithm for Dynamics of Two-Dimensional Open Quantum Lattice Models , Phys. Rev. X 11
2021
Closest in time.
D. Kilda, A. Biella, M. Schiro, R. Fazio, and J. Keeling, On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices , SciPost Phys. Core 4
2021
Closest in time.
P. C. G. Vlaar and P. Corboz, Simulation of three-dimensional quantum systems with projected entangled-pair states , Phys. Rev. B 103
2021
Closest in time.