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Simulating Strongly Correlated Quantum Systems: Adaptive Time-Dependent Density-Matrix Renormalization Group

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CFN Lectures on Functional Nanostructures - Volume 2

Part of the book series: Lecture Notes in Physics ((LNP,volume 820))

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Abstract

The density-matrix renormalization group (DMRG) is arguably the most powerful numerical technique for the description of the static properties of strongly correlated one-dimensional bosonic and fermionic systems. In this contribution we discuss the extension of this method to the calculation of the dynamical out-of-equilibrium properties of such quantum systems, illustrating it in the context of spin-charge separation. This method opens up unprecedented possibilities for the calculation of transport properties, of time-dependent Hamiltonians such as in ultracold atomic systems, or of decoherence in many-body systems.

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Authors and Affiliations

  1. Department für Physik, LMU München, Theresienstr. 37, 80333, Munich, Germany

    Ulrich Schollwöck

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  1. Ulrich Schollwöck
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Correspondence to Ulrich Schollwöck .

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, TU Dresden, Dresden, 01062, Germany

    Matthias Vojta

  2. DFG - Centrum für, Funktionelle Nanostrukturen (CFN), Universität Karlsruhe, Wolfgang-Gaede-Str. 1, Karlsruhe, 76131, Germany

    Christian Röthig

  3. DFG - Centrum für, Funktionelle Nanostrukturen (CFN), Universität Karlsruhe, Wolfgang-Gaede-Str. 1, Karlsruhe, 76131, Germany

    Gerd Schön

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Schollwöck, U. (2010). Simulating Strongly Correlated Quantum Systems: Adaptive Time-Dependent Density-Matrix Renormalization Group. In: Vojta, M., Röthig, C., Schön, G. (eds) CFN Lectures on Functional Nanostructures - Volume 2. Lecture Notes in Physics, vol 820. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14376-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-14376-2_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14375-5

  • Online ISBN: 978-3-642-14376-2

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