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  4. Zero-temperature localization in a sub-Ohmic spin-boson model investigated by an extended hierarchy equation of motion

Zero-temperature localization in a sub-Ohmic spin-boson model investigated by an extended hierarchy equation of motion

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Author(s)
Duan, Chenru
•
Tang, Zhoufei
•
Cao, Jianshu
•
Wu, Jianlan
Date Issued
June 2017
Journal
Physical Review B
Publisher
American Physical Society
Citation
Duan, Chenru et al. “Zero-Temperature Localization in a Sub-Ohmic Spin-Boson Model Investigated by an Extended Hierarchy Equation of Motion.” Physical Review B 95.21 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
With a decomposition scheme for the bath correlation function, the hierarchy equation of motion (HEOM) is extended to the zero-temperature sub-Ohmic spin-boson model, providing a numerically accurate prediction of quantum dynamics. As a dynamic approach, the extended HEOM determines the delocalized-localized (DL) phase transition from the extracted rate kernel and the coherent-incoherent dynamic transition from the short-time oscillation. As the bosonic bath approaches from the strong to weak sub-Ohmic regimes, a crossover behavior is identified for the critical Kondo parameter of the DL transition, accompanied by the transition from the coherent to incoherent dynamics in the localization.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/110546
DOI of Published Version
https://doi.org/10.1103/PhysRevB.95.214308
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