Quantum Floating Phases and Criticality in Programmable Rydberg Prism Arrays

ORAL

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.

*J.Z. is supported by NSFC under Grants No. 12304172 and No. 12347101, Chongqing Natural Science Foundation under Grant No. CSTB2023NSCQ-MSX0048 and No. CSTB2024YCJH-KYXM0064. Computations were performed using the computer clusters and data storage resources of the HPCC, which were funded by grants from NSF (MRI-2215705, MRI-1429826) and NIH (1S10OD016290-01A1).

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Presenters

  • Shuo Geng

    • University of California, Riverside

Authors

  • Qingyuan Zuo

    • Chongqing University

  • Shuo Geng

    • University of California, Riverside

  • Shan-Wen Tsai

    • University of California, Riverside

  • Jin Zhang

    • Chongqing University