Density matrix renormalization group study of a quantum impurity model with Landau-Zener time-dependent Hamiltonian

2008/10/31 by Cheng Guo, Andreas Weichselbaum, Stefan Kehrein +2
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.79.115137

published as Phys. Rev. B 79, 115137 (2009) · 6 pages, 7 figures

openalex publication_date 2009/03/30 · arxiv created 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the adaptive time-dependent density matrix renormalization group method (t-DMRG) to study the nonequilibrium dynamics of a benchmark quantum impurity system which has a time-dependent Hamiltonian. This model is a resonant-level model, obtained by a mapping from a certain Ohmic spin-boson model describing the dissipative Landau-Zener transition. We map the resonant-level model onto a Wilson chain, then calculate the time-dependent occupation n_d(t) of the resonant level. We compare t-DMRG results with exact results at zero temperature and find very good agreement. We also give a physical interpretation of the numerical results.

Citations

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