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

Cheng Guo, Andreas Weichselbaum, Stefan Kehrein, Tao Xiang, and Jan von Delft
Phys. Rev. B 79, 115137 – Published 30 March 2009

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 nd(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.

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  • Received 17 November 2008

DOI:https://doi.org/10.1103/PhysRevB.79.115137

©2009 American Physical Society

Authors & Affiliations

Cheng Guo1,2, Andreas Weichselbaum1, Stefan Kehrein1, Tao Xiang3,2, and Jan von Delft1

  • 1Physics Department, Arnold Sommerfeld Center for Theoretical Physics, D-80333 München, Germany and Center for NanoScience, Ludwig-Maximilians-Universität München, D-80333 München, Germany
  • 2Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China
  • 3Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100080, China

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Issue

Vol. 79, Iss. 11 — 15 March 2009

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