Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-10-10
Physics
Condensed Matter
Statistical Mechanics
19 pages, 9 figures, accepted for publication in Chemical Physics
Scientific paper
10.1016/j.chemphys.2003.10.010
In the spin-boson model, the properties of the oscillator bath are fully characterized by the spectral density of oscillators $J(\omega)$. We study the case when this function is of Breit-Wigner shape and has a sharp peak at a frequency $\Omega$ with width $\Gamma\ll\Omega$. We use a number of approaches such as the weak-coupling Bloch-Redfield equation, the non-interacting blip approximation (NIBA) and the flow-equation renormalization scheme. We show, that if $\Omega$ is much larger than the qubit energy scales, the dynamics corresponds to an Ohmic spin-boson model with a strongly reduced tunnel splitting. We also show that the direction of the scaling of the tunnel splitting changes sign when the bare splitting crosses $\Omega$. We find good agreement between our analytical approximations and numerical results. We illuminate how and why different approaches to the model account for these features and discuss the interpretation of this model in the context of an application to quantum computation and read-out.
Delft Jan von
Kleff Silvia
Wilhelm Frank K.
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