Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model

Abstract

We develop a Floquet protocol for long-range entanglement generation in the one-dimensional quantum Potts model, which generalizes the transverse-filed Ising model by allowing each spin to have $n>2$ states. We focus on the case of $n=3$, so that the model describes a chain of qutrits. The suggested protocol creates qutrit Bell-like pairs with non-local long-range entanglement that spans over the entire chain. We then conjecture that the proposed Floquet protocol is integrable and explicitly construct a few first non-trivial conserved quantities that commute with the stroboscopic evolution operator. Our analysis of the Floquet integrability relies on the deep connection between the quantum Potts model and a much broader class of models described by the Temperley-Lieb algebra. We work at the purely algebraic level and our results on Floquet integrability are valid for any representation of the Temperley-Lieb algebra. We expect that our findings can be probed with present experimental facilities using Rydberg programmable quantum simulators and can find various applications in quantum technologies.

12+10 pages, 2 figures

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Cited by in corpus (7)

• Quantum many-body scars in spin models with multibody interactions
• Integrable Quantum Circuits from the Star-Triangle Relation
• The Floquet Baxterisation
• Exactly solvable many-body dynamics from space-time duality
• Operator dynamics and entanglement in space-time dual Hadamard lattices
• Integrable Floquet systems related to logarithmic conformal field theory
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems