title: Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov D1 states.
abstract: 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-D1 Ansatz. Accuracy in dynamics simulations is improved significantly over the single D1 Ansatz, especially in the weak system-bath coupling regime. The reliability of the multi-D1 Ansatz 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-D1 Ansatz. The phase diagram is obtained with a critical point sc = 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.
authors.affiliation: Division of Materials Science, Nanyang Technological University, Singapore 639798, Singapore.
authors.forename: Lu
authors.initials: L
authors.lastname: Wang
authors.affiliation: Division of Materials Science, Nanyang Technological University, Singapore 639798, Singapore.
authors.forename: Lipeng
authors.initials: L
authors.lastname: Chen
authors.affiliation: Department of Physics, Hangzhou Normal University, Hangzhou 310046, China.
authors.forename: Nengji
authors.initials: N
authors.lastname: Zhou
authors.affiliation: Division of Materials Science, Nanyang Technological University, Singapore 639798, Singapore.
authors.forename: Yang
authors.initials: Y
authors.lastname: Zhao