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

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

URL: http://arxiv.org/abs/2110.09559v2
Date: Fri, 29 Apr 2022 09:28:53 GMT
Title: Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model
Authors: A.I. Lotkov, V. Gritsev, A.K. Fedorov, D.V. Kurlov
Abstract summary: We develop a Floquet protocol for long-range entanglement generation in the one-dimensional quantum Potts model. We conjecture that the proposed Floquet protocol is integrable and explicitly construct a few first non-trivial conserved quantities.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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.

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