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The Time-Dependent Density Matrix Renormalization Group

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Strongly Correlated Systems

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 176))

Abstract

The time-dependent DMRG is a remarkable and highly flexible tool to simulate real-time dynamics of strongly correlated systems. It can be used to calculate spectral functions, and to study systems far from equilibrium. In this chapter we describe how to generalize the DMRG method to solve the time-dependent Schrödinger equation, in both, real, and imaginary time. We illustrate these ideas with different applications such as transport problems in nano-structures, quantum quenches, and the calculation of time-dependent correlations functions.

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Author information

Authors and Affiliations

  1. Department of Physics, Northeastern University, Boston, MA, 02115, USA

    Adrian E. Feiguin

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  1. Adrian E. Feiguin
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Correspondence to Adrian E. Feiguin .

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Editors and Affiliations

  1. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Adolfo Avella

  2. Dipartimento di Fisica "E.R. Caianiello", Università degli Studi di Salerno, Via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Ferdinando Mancini

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Feiguin, A.E. (2013). The Time-Dependent Density Matrix Renormalization Group. In: Avella, A., Mancini, F. (eds) Strongly Correlated Systems. Springer Series in Solid-State Sciences, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35106-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-35106-8_5

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