Quantum Floating Phases and Criticality in Programmable Rydberg Prism Arrays

Oral-In-person

Abstract

We investigate quantum phase transitions in programmable Rydberg atom arrays using large-scale density-matrix renormalization group (DMRG) simulations implemented within a prism-type architecture. This geometry, constructed from an equilateral-triangle lattice possessing intrinsic D3 symmetry, supports multiple crystalline phases that spontaneously break both translational and point-group symmetries. Between these ordered states, we uncover a quantum floating phase characterized by quasi-long-range correlations and continuously tunable incommensurate order. Our results show that prism architectures provide a versatile platform for controlled exploration of symmetry-breaking crystalline orders, floating phases, and quantum criticality in low-dimensional interacting systems.

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Presenters

  • Shuo Geng

    • University of California, Riverside

Authors

  • Qingyuan Zuo

  • Shuo Geng

    • University of California, Riverside

  • Shan-Wen Tsai

    • University of California, Riverside

  • Jin Zhang