Journal
PHYSICAL REVIEW B
Volume 73, Issue 7, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevB.73.075311
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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)similar to alpha omega(s). We find nonmonotonic temperature dependence of the two-level gap K and a reentrance regime close to the transition due to nonadiabatic 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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