Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
Abstract
We study qubits having infinite-range Ising interaction and subjected to periodic pulse of external magnetic field. We solve the cases of to qubits analytically, finding its eigensystem, the dynamics of the entanglement for various initial states, and the unitary evolution operator. These quantities shows signatures of quantum integrability. For the general case of qubits, we provide a conjecture on quantum integrability based on the numerical evidences like degenerate spectrum, and the exact periodic nature of the time-evolved unitary evolution operator and the entanglement dynamics. Using linear entropy we show that for class of initial unentangled state the entanglement displays periodically maximum and zero values.
Keywords
Cite
@article{arxiv.2307.14122,
title = {Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system},
author = {Harshit Sharma and Udaysinh T. Bhosale},
journal= {arXiv preprint arXiv:2307.14122},
year = {2024}
}
Comments
5 pages (two-column) + 26 pages (one-column) + 3 figures. This is a substantially improved version of the previous manuscript, arXiv:2307.14122v1 [quant-ph]. There, we wrongly claimed that the semiclassical limit exists for k=j*pi. In the revised manuscript, the results are interpreted as a spin chain, and it does not have a semiclassical limit. This version is now accepted in Physical Review B