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This research demonstrates that in Rydberg atom chains, the distinction between predictable integrable dynamics and chaotic non-integrable behavior is not fixed by the system's Hamiltonian but depends critically on the initial state of preparation. By manipulating particle density and coupling ranges, researchers can control this transition within a single quantum setup, offering new pathways to study how complexity emerges in many-body systems without altering fundamental interaction strengths.
Rydberg Atoms & Quantum Integrability Depend on Initial State

Integrable & non-integrable dynamics can coexist in a single Rydberg-atom chain, new research shows.
Researchers at Université Paris-Saclay and the Institut Universitaire de France have demonstrated that the line between predictable and chaotic behavior in quantum systems isn’t fixed, but depends on how a system begins. The team’s work with Rydberg atom chains reveals that integrable and non-integrable dynamics can coexist within the same system, determined by the initial state of the atoms. They studied the dynamics generated by a protocol and found a sharp qualitative change in behavior as particle density varied, suggesting control over the degree of integrability breaking, allowing access to both weaker and stronger non-integrable dynamics within a…
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