2001/06/11 by Tilman Enss, T Enss, Ulrich Schollwoeck +1 · 2 citations
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/34/38/305
published as J. Phys. A 34, 7769-7782 (2001) · 16 pp, 17 eps figures, IOP style, submitted to J. Phys. A
arxiv created 2001/06/11 · openalex publication_date 2001/09/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In applications of the density matrix renormalization group to nonhermitean problems, the choice of the density matrix is not uniquely prescribed by the algorithm. We demonstrate that for the recently introduced stochastic transfer matrix DMRG (stochastic TMRG) the necessity to use open boundary conditions makes asymmetrical reduced density matrices, as used for renormalization in quantum TMRG, an inappropriate choice. An explicit construction of the largest left and right eigenvectors of the full transfer matrix allows us to show why symmetrical density matrices are the correct physical choice.