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A variational surface hopping algorithm for the sub-Ohmic spin-boson model

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arxiv 1306.2865 v2 pith:R5RJE2I5 submitted 2013-06-12 physics.chem-ph cond-mat.stat-mechphysics.comp-ph

A variational surface hopping algorithm for the sub-Ohmic spin-boson model

classification physics.chem-ph cond-mat.stat-mechphysics.comp-ph
keywords hoppingalgorithmsub-ohmicsurfaceansatzbosonicdavydovdynamics
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The Davydov D1 ansatz, which assigns an individual bosonic trajectory to each spin state, is an efficient, yet extremely accurate trial state for time-dependent variation of the sub-Ohmic spin-boson model [J. Chem. Phys. 138, 084111 (2013)]. A surface hopping algorithm is developed employing the Davydov D1 ansatz to study the spin dynamics with a sub-Ohmic bosonic bath. The algorithm takes into account both coherent and incoherent dynamics of the population evolution in a unified manner, and compared with semiclassical surface hopping algorithms, hopping rates calculated in this work follow more closely the Marcus formula.

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