Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model
| Autor: | A. I. Lotkov, V. Gritsev, A. K. Fedorov, D. V. Kurlov |
|---|---|
| Přispěvatelé: | ITFA (IoP, FNWI), Quantum Condensed Matter Theory (ITFA, IoP, FNWI) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Condensed Matter - Strongly Correlated Electrons
Quantum Physics Strongly Correlated Electrons (cond-mat.str-el) Nonlinear Sciences - Exactly Solvable and Integrable Systems Quantum Gases (cond-mat.quant-gas) FOS: Physical sciences Exactly Solvable and Integrable Systems (nlin.SI) Quantum Physics (quant-ph) Condensed Matter - Quantum Gases |
| Zdroj: | Physical Review B, 105(14):144306. American Institute of Physics |
| ISSN: | 2469-9950 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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