Local correlations in long-range dual-unitary kicked Hamiltonian chains
Abstract
Many-body Floquet models with exact space--time duality, such as the kicked Ising chain, provide paradigmatic examples of dual-unitary dynamics. The requirement of exact space--time duality is, however, highly restrictive and, in its standard formulation, permits only nearest-neighbor interactions. We demonstrate that the latter constraint can be avoided, still resulting in exactly solvable models. In particular, we construct a broad class of dual-unitary kicked spin chains with long-range interactions. We show that, for an interaction range r, local two-point connected correlation functions propagate along the edges of the light cone, |n|=r|t|, and can be evaluated analytically for local observables. We illustrate our general statement by analytic calculation of the connected correlation function for a kicked Ising chain with next-to-next-nearest-neighbor interactions.
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BibTeX
@misc{osipov2026local,
title = {{Local correlations in long-range dual-unitary kicked Hamiltonian chains}},
author = {Vladimir Al. Osipov and Marc Cedric Spyra and Jana Carolina Schumann and Thomas Guhr and Boris Gutkin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.13857},
eprint = {2606.13857},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.13857},
}
RIS
TY - UNPB
TI - Local correlations in long-range dual-unitary kicked Hamiltonian chains
AU - Vladimir Al. Osipov
AU - Marc Cedric Spyra
AU - Jana Carolina Schumann
AU - Thomas Guhr
AU - Boris Gutkin
PY - 2026
DA - 2026/10/31
PB - arXiv
DO - 10.48550/arxiv.2606.13857
UR - https://arxiv.org/abs/2606.13857
AB - Many-body Floquet models with exact space--time duality, such as the kicked Ising chain, provide paradigmatic examples of dual-unitary dynamics. The requirement of exact space--time duality is, however, highly restrictive and, in its standard formulation, permits only nearest-neighbor interactions. We demonstrate that the latter constraint can be avoided, still resulting in exactly solvable models. In particular, we construct a broad class of dual-unitary kicked spin chains with long-range interactions. We show that, for an interaction range r, local two-point connected correlation functions propagate along the edges of the light cone, |n|=r|t|, and can be evaluated analytically for local observables. We illustrate our general statement by analytic calculation of the connected correlation function for a kicked Ising chain with next-to-next-nearest-neighbor interactions.
ER -