Tensor network contractions: methods and applications to quantum many-body systems SJ Ran, E Tirrito, C Peng, X Chen, L Tagliacozzo, G Su, M Lewenstein Springer Nature, 2020 | 164 | 2020 |

Exploring interacting topological insulators with ultracold atoms: The synthetic Creutz-Hubbard model J Jünemann, A Piga, SJ Ran, M Lewenstein, M Rizzi, A Bermúdez Physical Review X 7 (3), 031057, 2017 | 157 | 2017 |

Cold atoms meet lattice gauge theory M Aidelsburger, L Barbiero, A Bermudez, T Chanda, A Dauphin, ... Philosophical Transactions of the Royal Society A 380 (2216), 20210064, 2022 | 143 | 2022 |

Machine learning by unitary tensor network of hierarchical tree structure D Liu, SJ Ran, P Wittek, C Peng, RB García, G Su, M Lewenstein New Journal of Physics 21 (7), 073059, 2019 | 133 | 2019 |

Linearized tensor renormalization group algorithm for the calculation of thermodynamic properties of quantum lattice models W Li, SJ Ran, SS Gong, Y Zhao, B Xi, F Ye, G Su Physical review letters 106 (12), 127202, 2011 | 103 | 2011 |

Encoding of matrix product states into quantum circuits of one-and two-qubit gates SJ Ran Physical Review A 101 (3), 032310, 2020 | 102 | 2020 |

Optimized decimation of tensor networks with super-orthogonalization for two-dimensional quantum lattice models SJ Ran, W Li, B Xi, Z Zhang, G Su Physical Review B—Condensed Matter and Materials Physics 86 (13), 134429, 2012 | 66 | 2012 |

Generative tensor network classification model for supervised machine learning ZZ Sun, C Peng, D Liu, SJ Ran, G Su Physical Review B 101 (7), 075135, 2020 | 60 | 2020 |

Theory of network contractor dynamics for exploring thermodynamic properties of two-dimensional quantum lattice models SJ Ran, B Xi, T Liu, G Su Physical Review B—Condensed Matter and Materials Physics 88 (6), 064407, 2013 | 45 | 2013 |

Thermodynamics of spin-1/2 Kagomé Heisenberg antiferromagnet: algebraic paramagnetic liquid and finite-temperature phase diagram X Chen, SJ Ran, T Liu, C Peng, YZ Huang, G Su Science Bulletin 63 (23), 1545-1550, 2018 | 35 | 2018 |

Machine learning by two-dimensional hierarchical tensor networks: A quantum information theoretic perspective on deep architectures D Liu, SJ Ran, P Wittek, C Peng, RB García, G Su, M Lewenstein | 32 | 2018 |

Phase transitions and thermodynamics of the two-dimensional Ising model on a distorted kagome lattice W Li, SS Gong, Y Zhao, SJ Ran, S Gao, G Su Physical Review B—Condensed Matter and Materials Physics 82 (13), 134434, 2010 | 29 | 2010 |

Few-body systems capture many-body physics: Tensor network approach SJ Ran, A Piga, C Peng, G Su, M Lewenstein Physical Review B 96 (15), 155120, 2017 | 28 | 2017 |

Phase diagrams, distinct conformal anomalies, and thermodynamics of spin-1 bond-alternating Heisenberg antiferromagnetic chain in magnetic fields X Yan, W Li, Y Zhao, SJ Ran, G Su Physical Review B—Condensed Matter and Materials Physics 85 (13), 134425, 2012 | 28 | 2012 |

Review of tensor network contraction approaches SJ Ran, E Tirrito, C Peng, X Chen, G Su, M Lewenstein arXiv preprint arXiv:1708.09213, 2017 | 26 | 2017 |

Emergent spin-1 trimerized valence bond crystal in the spin- Heisenberg model on the star lattice SJ Ran, W Li, SS Gong, A Weichselbaum, J von Delft, G Su Physical Review B 97 (7), 075146, 2018 | 25 | 2018 |

Featureless quantum spin liquid, -magnetization plateau state, and exotic thermodynamic properties of the spin- frustrated Heisenberg antiferromagnet on an … T Liu, SJ Ran, W Li, X Yan, Y Zhao, G Su Physical Review B 89 (5), 054426, 2014 | 25 | 2014 |

Entanglement-based feature extraction by tensor network machine learning Y Liu, WJ Li, X Zhang, M Lewenstein, G Su, SJ Ran Frontiers in Applied Mathematics and Statistics 7, 716044, 2021 | 23 | 2021 |

*Ab initio* optimization principle for the ground states of translationally invariant strongly correlated quantum lattice modelsSJ Ran Physical Review E 93 (5), 053310, 2016 | 22 | 2016 |

Kosterlitz-Thouless phase transition and re-entrance in an anisotropic three-state Potts model on the generalized kagome lattice Y Zhao, W Li, B Xi, Z Zhang, X Yan, SJ Ran, T Liu, G Su Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 87 (3 …, 2013 | 21 | 2013 |