2017/01/20 by Chang-Yu Hsieh, Jianshu Cao · 1 citation
Physics and Astronomy · #physics.chem-ph #cond-mat.mes-hall
paper · pdf · doi:10.1063/1.5018726
30 pages, 9 figures
arxiv created 2017/01/20 · arxiv updated 2018/01/17
We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath in dynamical calculations. We investigate the leading order corrections to the linear response approximations for spin bath models. Two types of spin-based environments are considered: (1) a bath of spins discretized from a continuous spectral density and (2) a bath of physical spins such as nuclear or electron spins. The main difference resides with how the bath frequency and the system-bath coupling parameters are chosen to represent an environment. When discretized from a continuous spectral density, the system-bath coupling typically scales as ∼ 1/√(NB) where NB is the number of bath spins. This scaling suppresses the non-Gaussian characteristics of the spin bath and justify the linear response approximations in the thermodynamic limit. For the physical spin bath models, system-bath couplings are directly deduced from spin-spin interactions with no reason to obey the 1/√(NB) scaling. It is not always possible to justify the linear response approximations. Furthermore, if the spin-spin Hamiltonian and/or the bath parameters are highly symmetrical, these additional constraints generate non-Markovian and persistent dynamics that is beyond the linear response treatments.