Adrian E. Feiguin Department of Physics and Astronomy, University of Wyoming, Wyoming, USA 82071 BACKGROUND Since its creation in 1992, the density matrix renormalization group (DMRG) method [1] has evolved and mutated. From its original formulation in a condensed matter context, it has been adapted to study problems in verious ï¬elds, such as nuclear physics and quantum chemistry, to become one of the dominant numerical methods to study strongly correlated systems. The purpose of these lectures is to provide a clear and pedagogical introduction to the DMRG, and its time-dependent variants, using simple examples, and pieces of code. Reviews on the method abound [2, 3, 4, 5, 6, 7]. In terms of nice introductions, I refer the reader to the lectures notes by Noack and Manmanna, also originated after the Vietri School[6]. When planning this set of lectures, I decided that I would try to conceive them as a natural continuation of this work. Therefore, I strongly encourage the reader to look at Ref.[6] ï¬rst as a warm-up. In these lectures, we shall cover many technical aspects of the DMRG, from a âtraditionalâ, or âconventionalâ perspective, describing the theoretical fundamentation, as well as the details of the algorithm,
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The Density Matrix Renormalization Group and its time‐dependent variants
Feiguin, Adrian E.
Follow AIP Conference Proceedings
, Volume 1419 (1)
American Institute of Physics – Dec 13, 2011
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