Quantum dynamics of a qubit coupled with structured bath

Details Quantum dynamics of a qubit coupled with structured bath Quantum dynamics of a qubit coupled with structured bath

2007-07-05

arxiv.org/abs/0707.0725v3

J. Phys.: Condens. Matter 20 (2008) 395233

Physics

Condensed Matter

Disordered Systems and Neural Networks

25 pages, 11 figures

Scientific paper

10.1088/0953-8984/20/39/395233

The dynamics of an unbiased spin-boson model with Lorentzian spectral density is investigated theoretically in terms of the perturbation theory based on a unitary transformation. The non-equilibrium correlation function $P(t)$ and susceptibility $\chi^{\prime\prime}(\omega)$ are calculated for both the off-resonance case $\Delta\lesssim 0.5\Omega$ and the on-resonance case $\Delta\sim \Omega$. The approach is checked by the Shiba's relation and the sum rule. Besides, the coherent-incoherent transition point $\alpha_c$ can be determined, which has not been demonstrated for the structured bath by previous authors up to our knowledge.

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