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Equilibrium Dynamics of the Dissipative Two-State System

1996/01/23 by T. A. Costi, C. Kieffer, Collin Kieffer · 9 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat

paper · pdf · doi:10.1103/physrevlett.76.1683

published as Physical Review Letters, 76, 1683 (1996) · 4 pages, 1 PS file processed with uufiles, to appear in PRL

arxiv created 1996/01/23 · openalex publication_date 1996/03/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Wilson's momentum shell renormalization group method is used to solve for the dynamics of the dissipative two-state system. We utilize the mapping of the spin-boson model onto the anisotropic Kondo model (AKM) and solve for the dynamics of the latter. We find that the AKM captures the physics of the dissipative two-state system for dissipation strength 0\ensuremath≤\ensuremathα\ensuremath≤4 corresponding to \ensuremath∞\ensuremath≥J_\ensuremath\Vert\ensuremath≥\ensuremath-\ensuremath∞ in the AKM. The dynamics of the AKM shows a smooth crossover between two strong coupling regimes corresponding to weak and strong dissipation in the spin-boson model.

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