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Coherent-incoherent transition in the sub-Ohmic spin-boson model

Alex Chin·Misha Turlakov
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Abstract

We study the spin-boson model with a sub-Ohmic bath using a variational method. The transition from coherent dynamics to incoherent tunneling is found to be abrupt as a function of the coupling strength $α$ and to exist for any power $0 < s< 1$, where the bath coupling is described by $J(ω) \sim αω^{s}$. We find non-monotonic temperature dependence of the two-level gap $\tilde{K}$ and a re-entrance regime close to the transition due to non-adiabatic low-frequency bath modes. Differences between thermodynamic and dynamic conditions for the transition as well as the limitations of the simplified bath description are discussed.

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Alex Chin, Misha Turlakov. 2005-11-11. Coherent-incoherent transition in the sub-Ohmic spin-boson model. https://doi.org/10.1103/physrevb.73.075311

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