Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov D1 states

Dynamics of the sub-Ohmic spin-boson model is investigated by employing a multitude of the Davydov D1 trial states, also known as the multi-D1Ansatz. Accuracy in dynamics simulations is improved significantly over the single D1Ansatz, especially in the weak system-bath coupling regime. The reliabili...

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Bibliographic Details
Main Authors: Wang, Lu, Chen, Lipeng, Zhou, Nengji, Zhao, Yang
Other Authors: School of Materials Science & Engineering
Format: Article
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/10356/82385
http://hdl.handle.net/10220/39947
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Institution: Nanyang Technological University
Language: English
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Summary:Dynamics of the sub-Ohmic spin-boson model is investigated by employing a multitude of the Davydov D1 trial states, also known as the multi-D1Ansatz. Accuracy in dynamics simulations is improved significantly over the single D1Ansatz, especially in the weak system-bath coupling regime. The reliability of the multi-D1Ansatz for various coupling strengths and initial conditions is also systematically examined, with results compared closely with those of the hierarchy equations of motion and the path integral Monte Carlo approaches. In addition, a coherent-incoherent phase crossover in the nonequilibrium dynamics is studied through the multi-D1Ansatz. The phase diagram is obtained with a critical pointsc = 0.4. For sc < s < 1, the coherent-to-incoherent crossover occurs at a certain coupling strength, while the coherent state recurs at a much larger coupling strength. For s < sc, only the coherent phase exists.