Dynamics of a two-level system under the simultaneous influence of a spin bath and a boson bath

Abstract

We study dynamics of a two-level system coupled simultaneously to a pair of dissimilar reservoirs, namely, a spin bath and a boson bath, which are connected via finite interbath coupling. It is found that the steady-state energy transfer in the two-level system increases with its coupling to the spin bath while optimal transfer occurs at intermediate coupling in the transient process. If the two-level system is strongly coupled to the spin bath, the population transfer is unidirectional barring minor population oscillations of minute amplitudes. If the spin bath is viewed as an atomic ensemble, robust generation of macroscopic superposition states exists against parameter variations of the two-level system and the boson bath.

12 pages, 4 figures

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• Decoherence of a single spin coupled to an interacting spin bath
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• A variational surface hopping algorithm for the sub-Ohmic spin-boson model
• Dissipative evolution of a two-level system through a geometry-based classical mapping