Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
arXiv:2405.15797 · doi:10.1103/PhysRevB.110.064313
Abstract
In a recent work Sharma and Bhosale [Phys. Rev. B, 109, 014412 (2024)], -spin Floquet model having infinite range Ising interaction was introduced. In this paper, we generalized the strength of interaction to , such that case reduces to the aforementioned work. We show that for the model still exhibits integrability for an even number of qubits only. We analytically solve the cases of , , , and qubits, finding its eigensystem, dynamics of entanglement for various initial states, and the unitary evolution operator. These quantities exhibit the signature of quantum integrability (QI). For the general case of even- qubits, we conjuncture the presence of QI using the numerical evidences such as spectrum degeneracy, and the exact periodic nature of both the entanglement dynamics and the time-evolved unitary operator. We numerically show the absence of QI for odd by observing a violation of the signatures of QI. We analytically and numerically find that the maximum value of time-evolved concurrence ($C_{\mbox{max}}$) decreases with , indicating the multipartite nature of entanglement. Possible experiments to verify our results are discussed.
arXiv comment13 pages (two-column) + 25 pages (one-column) + 14 figures. In this paper, we have generalized the model from our recent PRB paper and found new parameter-values for which it shows quantum integrability. Comments are welcome. Accepted for publication in Physical Review B. arXiv admin note: text overlap with arXiv:2307.14122
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