Exploiting translational invariance in Matrix Product State simulations of spin chains with periodic boundary conditions

Autor(en)

Bogdan Corneliu Pirvu, Frank Verstraete, Guifre Vidal

Abstrakt

We present a matrix product state (MPS) algorithm to approximate ground states of translationally invariant systems with periodic boundary conditions. For a fixed value of the bond dimension D of the MPS, we discuss how to minimize the computational cost to obtain a seemingly optimal MPS approximation to the ground state. In a chain of N sites and correlation length \xi, the computational cost formally scales as g(D,\xi /N)D^3, where g(D,\xi /N) is a nontrivial function. For \xi

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

University of Queensland

Journal

Physical Review B

Band

83

Anzahl der Seiten

14

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.83.125104

Publikationsdatum

2011

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/a8ced5f2-ef6c-4a32-909c-f72ffeff77b1