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arXiv · 2606.13857

Local correlations in long-range dual-unitary kicked Hamiltonian chains

Vladimir Al. Osipov·Marc Cedric Spyra·Jana Carolina Schumann·Thomas Guhr·Boris Gutkin
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Abstract

Many-body Floquet models with exact space--time symmetry, such as the kicked Ising spin chain (KIC), provide natural examples of systems with dual-unitary dynamics. The requirement of exact space--time symmetry is, however, highly restrictive, as it permits only nearest-neighbor interactions. Based on a pair of Hadamard matrices, we construct a wide family of dual-unitary kicked spin chains with long-range interactions. We show that local two-point correlations in such models propagate along the light-cone edges \( |n| = r|t| \), where \(r\) is the interaction range, and can be derived analytically for operators with local support. This approach is illustrated using the example of a kicked Ising spin chain with next-to-next-neighbor interactions.

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Vladimir Al. Osipov, Marc Cedric Spyra, Jana Carolina Schumann, Thomas Guhr, Boris Gutkin. 2026-06-11. Local correlations in long-range dual-unitary kicked Hamiltonian chains. https://arxiv.org/abs/2606.13857

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