2007/07/02 by Francesco Nesi, Elisabetta Paladino, Michael Thorwart +1 · 2 citations
Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Coupling strength #Master equation #Path integral formulation #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum tunnelling #Spectroscopy and Quantum Chemical Studies #Spin (aerodynamics) #Statistical physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.76.155323
published as Phys.Rev.B 76, 155323 (2007) · 15 pages, 14 figures
arxiv created 2007/07/02 · openalex publication_date 2007/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A generalized approximation scheme is proposed to describe the dynamics of the spin-boson problem. Being nonperturbative in the coupling strength nor in the tunneling frequency, it gives reliable results over a wide regime of temperatures and coupling strength to the thermal environment for a large class of bath spectral densities. We use a path-integral approach and start from the exact solution for the two-level system population difference in the form of a generalized master equation (GME). Then, we approximate interblip and blip-sojourn interactions up to linear order, while retaining all intrablip correlations to find the kernels entering the GME in analytical form. Our approximation scheme, which we call weakly interacting blip approximation, fully agrees with conventional perturbative approximations in the tunneling matrix element (noninteracting-blip approximation) or in the system-bath coupling strength in the proper parameter regime.