Density matrix renormalization group approach to the spin-boson model

2008/01/31 by Hang Wong, Zhide Chen, Zhi-De Chen · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.77.174305

published as Phys. Rev. B 77, 174305 (2008) · 6 pages, 7 figures

arxiv created 2008/04/09 · openalex publication_date 2008/05/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a density matrix renormalization group approach to tackle a two-state system coupled to a bosonic bath with continuous spectrum. In this approach, the optimized phonon scheme is applied to several hundred phonon modes that are linearly divided among the spectra. Although density matrix renormalization group cannot resolve very small energy scales, the delocalized-localized transition points of the two-state system are extracted by the extrapolation of the flow diagram results. The phase diagram is compared to the numerical renormalization group results and shows a good agreement in both Ohmic and sub-Ohmic cases.

Citations

• Antiferromagnetic integer-spin chains in a staggered magnetic field: Approaching the thermodynamic limit through the infinite-size density-matrix renormalization group
• On the spin-boson model with a sub-ohmic bath
• The numerical renormalization group method for quantum impurity systems
• Density-matrix algorithms for quantum renormalization groups
• Optimized phonon approach for the diagonalization of electron-phonon problems
• Numerical Renormalization Group for Bosonic Systems and Application to the Sub-Ohmic Spin-Boson Model
• Investigation of quantum phase transitions using multi-target DMRG methods
• Dynamics of the dissipative two-state system

Cited by

• Quantum phase transition in the sub-Ohmic spin-boson model: An extended coherent-state approach