Matrix product state applications for the ALPS project

Article Article scientifique Article Matrix product state applications for the ALPS project eng 2014 author Dolfi Michele author Bauer Bela author Keller Sebastian author Kosenkov Alexandr 736482 author Ewart Timothee 732990 author Kantian Adrian 719262 author Giamarchi Thierry 134665 author Troyer Matthias 3430-3440 10.1016/j.cpc.2014.08.019 0010-4655 http://linkinghub.elsevier.com/retrieve/pii/S0010465514003002 The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems. In this paper, we present a new set of applications, available as part of the ALPS package, that provide an efficient and flexible implementation of these methods based on a matrix product state (MPS) representation. Our applications implement, within the same framework, algorithms to variationally find the ground state and low-lying excited states as well as simulate the time evolution of arbitrary one-dimensional and two-dimensional models. Implementing the conservation of quantum numbers for generic Abelian symmetries, we achieve performance competitive with the best codes in the community. Example results are provided for (i) a model of itinerant fermions in one dimension and (ii) a model of quantum magnetism. Dewey 500.2 33 Département de physique de la matière quantique 131 false 780 Groupe Giamarchi Computer physics communications 185 12 19cad144-b691-4c88-992c-1dfefdf2da32 Article (Published version) Restricted Dolfi-2014.pdf 1240524 application/pdf restrictedAccess Faculté des sciences / Section de physique / Département de physique de la matière quantique

Title	Published in	Access level	OA Policy	Year	Views	Downloads

Matrix product state applications for the ALPS project	Computer physics communications			2014	513	0

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Kosenkov, Alexandr