Gapless and Non-Equilibrium Topology in Blockaded Ladders

Abstract

We propose a multi-leg PXYP model as a minimal setting to explore constraint-induced intertwinement between itinerant and internal degrees of freedom. We argue that the Rydberg-like blockade induces correlations in squeezed space, providing a unified mechanism for nontrivial string order both in and out of equilibrium. In a two-leg geometry, this leads to an intrinsically gapless topological ground state, which can terminate at a supersymmetric multicritical point. This mechanism also leads to the preservation of string order for parametrically long times after a quench, which we verify using tensor network simulations and a classical stochastic approximation to the dynamics. In a three-leg geometry, the blockade leads to an additional emergent U(1) symmetry, resulting in a multicomponent Luttinger liquid where both itinerant and internal degrees of freedom are critical. This family of models arises naturally in a range of quantum simulator platforms such as Rydberg tweezer arrays and dipolar atoms in optical lattices.

Topology of Hawking-Page phase transition and equilibrium phases in AdS brane backgrounds
Meng-Yao Zhang, Hao Chen, Hassan Hassanabadi +2
Physics Letters B1 Nov 2026Peer-reviewedCC BY 4.0High-energy & particle physicsCrossref
Qudit encoding in Rydberg-blockaded arrays of atoms
Achille Robert, Tom Bienaimé
Physical Review A15 Jun 2026Peer-reviewedPublisher termsFull textOptics & photonicsHAL
Quantum-RAM Implementation Using Multiple Interacting Rydberg-Blockaded EIT Systems
Avirup Chakraborty, Shrabana Chakrabarti
arXiv10 Sep 2026PreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
Predicting Entanglement Spectra of Gapless Symmetry-Protected Topological States in One Dimension
Wen-Tao Xu, Frank Pollmann, Michael Knap
PRX Quantum6 Oct 2026Peer-reviewedCC BY 4.0Atomic, molecular & optical physicsCrossref
Chutes and Ladders: Dynamical Automorphisms via the ZX-Calculus
Alexander Frei, Sascha Zakaib-Bernier, Zachary Mann +2
HAL1 Jun 2026PreprintLicence not statedQuantum physics & quantum informationHAL

Cite

BibTeX RIS

BibTeX

@misc{sohal2026gapless,
  title = {{Gapless and Non-Equilibrium Topology in Blockaded Ladders}},
  author = {Ramanjit Sohal and Hannes Bernien and Ruben Verresen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40771},
  eprint = {2610.40771},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40771},
}

RIS

TY  - UNPB
TI  - Gapless and Non-Equilibrium Topology in Blockaded Ladders
AU  - Ramanjit Sohal
AU  - Hannes Bernien
AU  - Ruben Verresen
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40771
UR  - https://arxiv.org/abs/2610.40771
AB  - We propose a multi-leg PXYP model as a minimal setting to explore constraint-induced intertwinement between itinerant and internal degrees of freedom. We argue that the Rydberg-like blockade induces correlations in squeezed space, providing a unified mechanism for nontrivial string order both in and out of equilibrium. In a two-leg geometry, this leads to an intrinsically gapless topological ground state, which can terminate at a supersymmetric multicritical point. This mechanism also leads to the preservation of string order for parametrically long times after a quench, which we verify using tensor network simulations and a classical stochastic approximation to the dynamics. In a three-leg geometry, the blockade leads to an additional emergent U(1) symmetry, resulting in a multicomponent Luttinger liquid where both itinerant and internal degrees of freedom are critical. This family of models arises naturally in a range of quantum simulator platforms such as Rydberg tweezer arrays and dipolar atoms in optical lattices.
ER  -

Abstract

Related

Cite