Strong system-bath coupling induces a bright-dark structure in the effective coupling operator, producing a hierarchy of population relaxation timescales via spectral localization bounds on the Liouvillian in the reaction-coordinate polaron framework.
Parseval's Identity and Values of Zeta Function at Even Integers
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abstract
Historically known as the Basel problem, evaluating the Riemann zeta function at two has resulted in numerous proofs, many of which have been generalized to compute the function's values at even positive integers. We apply Parseval's identity to the Bernoulli polynomials to find such values.
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2026 1verdicts
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Hierarchical separation of relaxation timescales from spectral localization bounds
Strong system-bath coupling induces a bright-dark structure in the effective coupling operator, producing a hierarchy of population relaxation timescales via spectral localization bounds on the Liouvillian in the reaction-coordinate polaron framework.