The study of an extended hierarchy equation of motion in the spin-boson model: The cutoff function of the sub-Ohmic spectral density
Following a recently proposed decomposition technique [C. R. Duan et al., Phys. Rev. B 95, 214308 (2017)], we inspect the zero-temperature spin-boson model for five different cutoff functions of the spectral density. With oscillatory and non-oscillatory exponentially decaying functions to decompose...
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| Veröffentlicht in: | The Journal of chemical physics 2017-10, Vol.147 (16), p.164112-164112 |
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| container_end_page | 164112 |
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| container_issue | 16 |
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| container_title | The Journal of chemical physics |
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| creator | Duan, Chenru Wang, Qianlong Tang, Zhoufei Wu, Jianlan |
| description | Following a recently proposed decomposition technique [C. R. Duan et al., Phys. Rev. B 95, 214308 (2017)], we inspect the zero-temperature spin-boson model for five different cutoff functions of the spectral density. With oscillatory and non-oscillatory exponentially decaying functions to decompose the bath correlation function, the hierarchy equation of motion is reliably extended to each spectral density under our investigation. The predicted spin dynamics is gradually converged with the increase of the hierarchic expansion order and the number of decomposing basis functions. Our systematic study of different cutoff functions expands previous results of the delocalized-localized phase transition with the exponential and sudden cutoffs in the spectral density. |
| doi_str_mv | 10.1063/1.4997669 |
| format | Article |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Basis functions Decomposition Density Equations of motion Mathematical models Phase transitions Physics Spectra Spin dynamics |
| title | The study of an extended hierarchy equation of motion in the spin-boson model: The cutoff function of the sub-Ohmic spectral density |
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