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Emergent criticality in a constrained boson model
Anirudha Menon (Indian Association for the Cultivation of Science), Anwesha Chattopadhyay (Ramakrishna Mission Vivekananda Educational and Research Institute), K. Sengupta (Indian Association for the Cultivation of Science), Arnab Sen (Indian Association for the Cultivation of Science)
Résumé : We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition (QPT) where the critical point exhibits an emergent enhanced symmetry. Such a transition separates a unique gapped ground state from a gapless one; the latter phase exhibits a broken Z_2 Z 2 symmetry which we tie to the presence of the subsystem symmetries in the model. The intermediate critical point separating these phases exhibits an additional emergent Z_2 Z 2 symmetry which we identify. This emergence leads to a critical theory which seems to be different from those in the Ising universality class. Instead, within the data obtained from finite-size scaling analysis, we find the critical theory to be not inconsistent with Ashkin-Teller universality in the sense that the transitions of the model reproduces a critical line with variable correlation length exponent \nu ν but constant central charge c c close to unity. We verify this scenario via explicit exact-diagonalization computations, provide an effective Landau-Ginzburg theory for such a transition, and discuss the connection of our model to the PXP model describing Rydberg atom arrays.