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

• URL: http://arxiv.org/abs/2606.13857v1
• Date: Thu, 11 Jun 2026 19:35:45 GMT
• Title: Local correlations in long-range dual-unitary kicked Hamiltonian chains
• Abstract summary: Floquet models with exact space--time symmetry provide examples of systems with dual-unitary dynamics.<n>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.<n>This approach is illustrated using the example of a kicked Ising spin chain with next-to-next-neighbor interactions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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