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An efficient variational polaron master equation for non-Markovian spin-boson dynamics: Transformed initial states and general observables

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Briefings

A new arXiv preprint (2610.08953) proposes an efficient variational polaron master equation for non-Markovian spin-boson dynamics. By transforming factorized initial states into the variational polaron frame, the authors introduce inhomogeneous terms essential for non-Markovian behavior beyond weak coupling. The method uses an extended auxiliary Liouville space to convert integro-differential equations into ordinary differential equations, enabling the calculation of expectation values for general observables. Key findings include a delay phenomenon in multi-bath-quanta processes at intermediate coupling strengths and the observation that coherent superposition states produce stronger nonequilibrium effects than localized states. The framework applies to both undriven and resonantly driven models.

Key points

• The study uses an efficient variational polaron master equation to model non-Markovian spin-boson dynamics by transforming factorized initial states into the variational polaron frame.
• The method introduces inhomogeneous terms in the master equation that are essential for accurately describing non-Markovian dynamics beyond the weak coupling regime.

Context and limitations

The research applies to both undriven and resonantly driven spin-boson models. Results are limited to expectation values and trace-distance analysis of general observables, with no specific data on bath-relaxation dynamics for arbitrary factorized initial states.

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