Dresden 2009 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 38: Correlated Electrons: Low-dimensional Systems - Models 1

TT 38.6: Vortrag

Donnerstag, 26. März 2009, 11:00–11:15, HSZ 301

Density Matrix Renormalization Group in the Heisenberg picture — •Michael Hartmann^1,2,3, Javier Prior^2,3, Stephen Clark⁴, and Martin Plenio^2,3 — ¹Technische Universität München, Physik Department, 85748 Garching, Germany — ²Institute for Mathematical Sciences, Imperial College London, United Kingdom — ³QOLS Blackett Laboratory, Imperial College London, United Kingdom — ⁴Clarendon Laboratory, University of Oxford, United Kingdom

In some cases the state of a quantum system with a large number of subsystems can be approximated efficiently by the density-matrix renormalization group (DMRG), which makes use of redundancies in the description of the state. Here we show that the achievable efficiency can be much better when performing DMRG in the Heisenberg picture (H-DMRG), as only the observable of interest but not the entire state is considered. In some non-trivial cases, H-DMRG can even be exact for finite bond dimensions.