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Emergent Ashkin-Teller criticality in a constrained boson model

Anirudha Menon, Anwesha Chattopadhyay, K. Sengupta, Arnab Sen

arXiv: 2311.12107v1 (cond-mat.str-el)
v1: 4+epsilon pages, 4 figs; supplementary material
License: CC BY 4.0

Abstract: We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition 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 $Z_2$ 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 $Z_2$ symmetry which we identify; this emergence leads to a critical theory in the Ashkin-Teller, instead of the expected Ising, universality class . 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.

Submitted to arXiv on 20 Nov. 2023