Closed-form asymptotics for Rényi entropies in the open XX chain give 2k_F oscillations, s^{±1/α} envelopes, and -½ log log ℓ equipartition offset.
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Explicit reduction formulas are derived expressing multiple orthogonal polynomials and their Christoffel-Darboux kernels in terms of standard orthogonal polynomials for real-line and unit-circle cases.
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Entanglement in the open XX chain: R\'enyi oscillations, hard-edge crossover, and symmetry resolution
Closed-form asymptotics for Rényi entropies in the open XX chain give 2k_F oscillations, s^{±1/α} envelopes, and -½ log log ℓ equipartition offset.
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Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
Explicit reduction formulas are derived expressing multiple orthogonal polynomials and their Christoffel-Darboux kernels in terms of standard orthogonal polynomials for real-line and unit-circle cases.