Time-Dependent Variational Principle for Quantum Lattices

Autor(en)

Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pizorn, Henri Verschelde, Frank Verstraete

Abstrakt

We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Max-Planck-Institut für Quantenoptik, Gottfried Wilhelm Leibniz Universität Hannover

Journal

Physical Review Letters

Band

107

Anzahl der Seiten

5

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.107.070601

Publikationsdatum

08-2011

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/4da9c0cc-ab9f-4324-9057-7b803002e08f