Non-Markovian dynamics of a biased qubit coupled to a structured bath

Details Non-Markovian dynamics of a biased qubit coupled to a structured bath Non-Markovian dynamics of a biased qubit coupled to a structured bath

2009-05-25

arxiv.org/abs/0905.3965v3

J.Phys.:Condens.Matter 22 (2010) 115301 (14pp)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 figures, revised version, has been submitted to JPCM on Oct. 15

Scientific paper

10.1088/0953-8984/22/11/115301

A new analytical approach, beyond rotating wave approximation, based on unitary transformations and the non-Markovian master equation for the density operator, is applied to treat the biased spin boson model with a Lorentzian structured bath for arbitrary detunings at zero temperature. Compared to zero bias, we find that the dynamics demonstrates two more damping oscillation frequencies and one additional relaxation frequency for non-zero bias, where one of the damping oscillation frequencies is a new effect. Analytical expressions for the non-Markovian dynamics and the corresponding spectrum, the localized-delocalized transition point, the coherent-incoherent transition point, the analytical ground energy, the renormalized tunneling factor and the susceptibility are determined. The sum rule and the Shiba relation are checked in the coherent regime.

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