Topological phase transition in a symmetric blockade structure

Abstract

We present a numerical study of a blockade Hamiltonian with a local ℤ₂ symmetry. For such models, the existence of a topologically ordered ground state has been proven rigorously for weak Rabi driving [T. F. Maier et al., PRX Quantum 6, 030340 (2025)]. However, the phase diagram beyond weak driving is still an open question. We perform large-scale infinite-size density matrix renormalization group (iDMRG) simulations on a cylinder and map out the full phase diagram of the model. We find a single continuous phase transition between the topologically ordered phase and a trivial paramagnetic phase, and confirm numerically the stability of the topologically ordered phase up to Rabi drives comparable to the characteristic energy scale of the system. Furthermore, we compute the excitation gaps and show that the charge gap remains open across the phase transition and charges become confined in the trivial phase. On the other hand, the gap in the symmetric sector closes at the transition, consistent with the condensation of flux excitations.

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BibTeX

@misc{mogerle2026topological,
  title = {{Topological phase transition in a symmetric blockade structure}},
  author = {Johannes Mögerle and Simon Fell and Tobias F. Maier and Ali Otaifi and Lode Pollet and Nicolai Lang and Hans Peter Büchler},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03186},
  eprint = {2610.03186},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03186},
}

RIS

TY  - UNPB
TI  - Topological phase transition in a symmetric blockade structure
AU  - Johannes Mögerle
AU  - Simon Fell
AU  - Tobias F. Maier
AU  - Ali Otaifi
AU  - Lode Pollet
AU  - Nicolai Lang
AU  - Hans Peter Büchler
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03186
UR  - https://arxiv.org/abs/2610.03186
AB  - We present a numerical study of a blockade Hamiltonian with a local ℤ_2 symmetry. For such models, the existence of a topologically ordered ground state has been proven rigorously for weak Rabi driving [T. F. Maier et al., PRX Quantum 6, 030340 (2025)]. However, the phase diagram beyond weak driving is still an open question. We perform large-scale infinite-size density matrix renormalization group (iDMRG) simulations on a cylinder and map out the full phase diagram of the model. We find a single continuous phase transition between the topologically ordered phase and a trivial paramagnetic phase, and confirm numerically the stability of the topologically ordered phase up to Rabi drives comparable to the characteristic energy scale of the system. Furthermore, we compute the excitation gaps and show that the charge gap remains open across the phase transition and charges become confined in the trivial phase. On the other hand, the gap in the symmetric sector closes at the transition, consistent with the condensation of flux excitations.
ER  -

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