Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-01-26
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
11 pages, 4 figures, comments welcome
Scientific paper
We propose a ground-state ansatz for the Ohmic spin-boson model that improves upon the variational treatment of Silbey and Harris for biased systems in the scaling limit. In particular, it correctly captures the smooth crossover behaviour expected for the ground-state magnetisation when moving between the delocalised and localised regimes of the model, a feature that the variational treatment is unable to properly reproduce, while it also provides a lower ground-state energy estimate in the crossover region. We further demonstrate the validity of our intuitive ground-state by showing that it leads to predictions in excellent agreement with those derived from a non-perturbative Bethe-ansatz technique. Finally, recasting our ansatz in the form of a generalised polaron transformation, we are able to explore the dissipative two-state dynamics beyond weak system-environment coupling within an efficient time-local master equation formalism.
Chin Alex. W.
McCutcheon Dara P. S.
Nazir Ahsan
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