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

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

2005-11-11

arxiv.org/abs/cond-mat/0511285v1

Phys. Rev. B 73, 075311 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 4 figures

Scientific paper

10.1103/PhysRevB.73.075311

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 $\alpha$ and to exist for any power $0 < s< 1$, where the bath coupling is described by $J(\omega) \sim \alpha \omega^{s}$. 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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