Abstract
The temperature effect on tunnelling splitting in the spin–boson model with a super-ohmic bath is studied by the small polaron theory. The coherent–incoherent transition temperature is calculated and its dependence on dissipation strength and bare tunnelling splitting is analysed. In additional to the traditional transition point described in textbooks, a new kind of transition is found in the low dissipation region, showing different temperature dependence in the transition. The relation to the corresponding transition in the polaron–phonon system is also discussed.
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