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The Landau-Ginzburg-Wilson theory of phase transitions precludes a continuous transition between two phases that spontaneously break distinct symmetries.
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2013
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Matthew S. Block, Roger G. Melko, and Ribhu K. Kaul, “Fate of ℂ 𝕡 N − 1 \mathbb{C}{\mathbb{p}}^{N-1} fixed points with q q monopoles,” Phys. Rev. Lett. 111
2013
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2013
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Adam Nahum, P. Serna, J. T. Chalker, M. Ortuño, and A. M. Somoza, “Emergent so(5) symmetry at the néel to valence-bond-solid transition,” Phys. Rev. Lett. 115
2015
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Michael P. Zaletel, Roger S. K. Mong, Christoph Karrasch, Joel E. Moore, and Frank Pollmann, “Time-evolving a matrix product state with long-ranged interactions,” Phys. Rev. B 91
2015
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2016
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Chong Wang, Adam Nahum, Max A. Metlitski, Cenke Xu, and T. Senthil, “Deconfined quantum critical points: Symmetries and dualities,” Phys. Rev. X 7
2017
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Yan Qi Qin, Yuan-Yao He, Yi-Zhuang You, Zhong-Yi Lu, Arnab Sen, Anders W. Sandvik, Cenke Xu, and Zi Yang Meng, “Duality between the deconfined quantum-critical point and the bosonic topological transition,” Phys. Rev. X 7
2017
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2019
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Rui-Zhen Huang, Da-Chuan Lu, Yi-Zhuang You, Zi Yang Meng, and Tao Xiang, “Emergent symmetry and conserved current at a one-dimensional incarnation of deconfined quantum critical point,” Phys. Rev. B 100
2019
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Shenghan Jiang and Olexei Motrunich, “Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points,” Phys. Rev. B 99
2019
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Christopher Mudry, Akira Furusaki, Takahiro Morimoto, and Toshiya Hikihara, “Quantum phase transitions beyond landau-ginzburg theory in one-dimensional space revisited,” Phys. Rev. B 99
2019
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Sylvain de Léséleuc, Vincent Lienhard, Pascal Scholl, Daniel Barredo, Sebastian Weber, Nicolai Lang, Hans Peter Büchler, Thierry Lahaye, and Antoine Browaeys, “Observation of a symmetry-protected topological phase of interacting bosons with rydberg atoms,” Science 365
2019
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Alexander Keesling, Ahmed Omran, Harry Levine, Hannes Bernien, Hannes Pichler, Soonwon Choi, Rhine Samajdar, Sylvain Schwartz, Pietro Silvi, Subir Sachdev, Peter Zoller, Manuel Endres, Markus Greiner, Vladan Vuletić, and Mikhail D. Lukin, “Quantum kibble–zurek mechanism and critical dynamics on a programmable rydberg simulator,” Nature 568
2019
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A. Omran, H. Levine, A. Keesling, G. Semeghini, T. T. Wang, S. Ebadi, H. Bernien, A. S. Zibrov, H. Pichler, S. Choi, J. Cui, M. Rossignolo, P. Rembold, S. Montangero, T. Calarco, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, “Generation and manipulation of schrodinger cat states in rydberg atom arrays,” Science 365
2019
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Rui-Zhen Huang and Shuai Yin, “Kibble-zurek mechanism for a one-dimensional incarnation of a deconfined quantum critical point,” Phys. Rev. Research 2
2020
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Liujun Zou and Yin-Chen He, “Field-induced qcd 3 {\mathrm{qcd}}_{3} -chern-simons quantum criticalities in kitaev materials,” Phys. Rev. Research 2
2020
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A.V. Zarubin, F.A. Kassan-Ogly, and A.I. Proshkin, “Frustrations in the ising chain with the third-neighbor interactions,” Journal of Magnetism and Magnetic Materials 514
2020
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I I Beterov, D B Tretyakov, V M Entin, E A Yakshina, I I Ryabtsev, M Saffman, and S Bergamini, “Application of adiabatic passage in rydberg atomic ensembles for quantum information processing,” Journal of Physics B: Atomic, Molecular and Optical Physics 53
2020
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Eyal Leviatan and David F. Mross, “Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions,” Phys. Rev. Research 2
2020
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Brenden Roberts, Shenghan Jiang, and Olexei I. Motrunich, “One-dimensional model for deconfined criticality with 𝕫 3 × 𝕫 3 {\mathbb{z}}_{3}\times{}{\mathbb{z}}_{3} symmetry,” Phys. Rev. B 103
2021
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G. Semeghini, H. Levine, A. Keesling, S. Ebadi, T. T. Wang, D. Bluvstein, R. Verresen, H. Pichler, M. Kalinowski, R. Samajdar, A. Omran, S. Sachdev, A. Vishwanath, M. Greiner, V. Vuletić, and M. D. Lukin, “Probing topological spin liquids on a programmable quantum simulator,” Science 374
2021
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Atsushi Ueda and Masaki Oshikawa, “Resolving the berezinskii-kosterlitz-thouless transition in the two-dimensional xy model with tensor-network-based level spectroscopy,” Phys. Rev. B 104
2021
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Jeremy T. Young, Przemyslaw Bienias, Ron Belyansky, Adam M. Kaufman, and Alexey V. Gorshkov, “Asymmetric blockade and multiqubit gates via dipole-dipole interactions,” Phys. Rev. Lett. 127
2021
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Kevin Slagle, Yue Liu, David Aasen, Hannes Pichler, Roger S. K. Mong, Xie Chen, Manuel Endres, and Jason Alicea, “Quantum spin liquids bootstrapped from ising criticality in rydberg arrays,” (2022)
2022
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2022
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