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We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states.
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S Sachdev, M Vojta, Translational symmetry breaking in two-dimensional antiferromagnets and superconductors · 2000
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MD Lukin, et al., Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles · 2001
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R Moessner, SL Sondhi, Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model · 2001
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R Moessner, SL Sondhi, Ising models of quantum frustration · 2001
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S Sachdev, K Sengupta, SM Girvin, Mott insulators in strong electric fields · 2002
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L Balents, MP Fisher, SM Girvin, Fractionalization in an easy-axis Kagome antiferromagnet · 2002
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R Moessner, SL Sondhi, E Fradkin, Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories · 2002
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AY Kitaev, Fault-tolerant quantum computation by anyons · 2003
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P Fendley, K Sengupta, S Sachdev, Competing density-wave orders in a one-dimensional hard-boson model · 2004
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P Nikolić, T Senthil, Theory of the kagome lattice Ising antiferromagnet in weak transverse fields · 2005
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SV Isakov, YB Kim, A Paramekanti, Spin-Liquid Phase in a Spin-1/2 Quantum Magnet on the Kagome Lattice · 2006
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A Kitaev, J Preskill, Topological Entanglement Entropy · 2006
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M Levin, XG Wen, Detecting Topological Order in a Ground State Wave Function · 2006
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SR White, AL Chernyshev, Neél order in square and triangular lattice Heisenberg models · 2007
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M Cozzini, R Ionicioiu, P Zanardi, Quantum fidelity and quantum phase transitions in matrix product states · 2007
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WL You, YW Li, SJ Gu, Fidelity, dynamic structure factor, and susceptibility in critical phenomena · 2007
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HC Jiang, ZY Weng, DN Sheng, Density Matrix Renormalization Group Numerical Study of the Kagome Antiferromagnet · 2008
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HQ Zhou, JP Barjaktarevič, Fidelity and quantum phase transitions · 2008
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L Balents, Spin liquids in frustrated magnets · 2010
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H Weimer, M Müller, I Lesanovsky, P Zoller, HP Büchler, A Rydberg quantum simulator · 2010
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M Saffman, TG Walker, K Mølmer, Quantum information with Rydberg atoms · 2010
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D Huerga, S Capponi, J Dukelsky, G Ortiz, Staircase of crystal phases of hard-core bosons on the kagome lattice · 2016
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M Schuler, S Whitsitt, LP Henry, S Sachdev, AM Läuchli, Universal Signatures of Quantum Critical Points from Finite-Size Torus Spectra: A Window into the Operator Content of Higher-Dimensional Conformal Field Theories · 2016
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S Whitsitt, S Sachdev, Transition from the ℤ 2 {\mathbb{Z}}_{2} spin liquid to antiferromagnetic order: Spectrum on the torus · 2016
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M Endres, et al., Atom-by-atom assembly of defect-free one-dimensional cold atom arrays · 2016
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XG Wen, Colloquium: Zoo of quantum-topological phases of matter · 2017
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Z Feng, et al., Gapped Spin-1/2 Spinon Excitations in a New Kagome Quantum Spin Liquid Compound Cu 3 · 2017
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T Pohl, E Demler, MD Lukin, Dynamical crystallization in the dipole blockade of ultracold atoms · 2010
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SJ Gu, Fidelity approach to quantum phase transitions · 2010
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AW Sandvik, Computational Studies of Quantum Spin Systems · 2010
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S Yan, DA Huse, SR White, Spin-liquid ground state of the S = 1 / 2 S=1/2 kagome Heisenberg antiferromagnet · 2011
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(Cambridge University Press, New York), (2011)
S Sachdev, Quantum Phase Transitions · 2011
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H Bernien, et al., Probing many-body dynamics on a 51-atom quantum simulator · 2017
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M Zaletel, YM Lu, A Vishwanath, Measuring space-group symmetry fractionalization in ℤ 2 \mathbb{Z}_{2} spin liquids · 2017
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DL Deng, X Li, S Das Sarma, Machine learning topological states · 2017
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Y Zhang, RG Melko, EA Kim, Machine learning ℤ 2 {\mathbb{Z}}_{2} quantum spin liquids with quasiparticle statistics · 2017
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J Carrasquilla, RG Melko, Machine learning phases of matter · 2017
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R Samajdar, S Choi, H Pichler, MD Lukin, S Sachdev, Numerical study of the chiral ℤ 3 \mathbb{Z}_{3} quantum phase transition in one spatial dimension · 2018
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S Whitsitt, R Samajdar, S Sachdev, Quantum field theory for the chiral clock transition in one spatial dimension · 2018
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GY Sun, et al., Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets · 2018
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H Levine, et al., High-fidelity control and entanglement of Rydberg-atom qubits · 2018
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J Becker, S Wessel, Diagnosing Fractionalization from the Spin Dynamics of Z 2 {Z}_{2} Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations · 2018
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S Sachdev, Topological order, emergent gauge fields, and Fermi surface reconstruction · 2019
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A Keesling, et al., Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator · 2019
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S de Léséleuc, et al., Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms · 2019
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A Omran, et al., Generation and manipulation of Schrödinger cat states in Rydberg atom arrays · 2019
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T Brydges, et al., Probing Rényi entanglement entropy via randomized measurements · 2019
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I Cong, S Choi, MD Lukin, Quantum convolutional neural networks · 2019
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J Nakamura, S Liang, GC Gardner, MJ Manfra, Direct observation of anyonic braiding statistics · 2020
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R Samajdar, WW Ho, H Pichler, MD Lukin, S Sachdev, Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays · 2020
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