Vir. J. Quantum Inf. / Volume 10 / Issue 2 / ENTANGLEMENT

Simulation of interacting fermions with entanglement renormalization

Source: Phys. Rev. A 81, 010303 (2010); doi:10.1103/PhysRevA.81.010303

Published 21 January 2010

ABSTRACT

^* Full Text: Access via Source Journal Abstract

PACS

03.67.-a
Quantum information
05.10.Cc
Renormalization group methods (statistical physics/nonlinear dynamics)
02.70.-c
Computational techniques; simulations
71.10.Fd
Lattice fermion models (condensed matter)
YEAR: 2010

PUBLICATION DATA

Publisher:

APS

Philippe Corboz,¹ Glen Evenbly,¹ Frank Verstraete,² and Guifré Vidal¹
¹School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
²Fakultät für Physik, Universität Wien, Boltzmanngasse 3, A-1090 Wien, Austria

Wepropose an algorithm to simulate interacting fermions on a two-dimensionallattice. The approach is an extension of the entanglement renormalizationtechnique [Phys. Rev. Lett. 99, 220405 (2007)] and the relatedmultiscale entanglement renormalization ansatz. Benchmark calculations for free and interactingfermions on lattices ranging from 6×6 to 162×162 sites withperiodic boundary conditions confirm the validity of this proposal. ©2010 The American Physical Society

History:	Received 7 May 2009; published 21 January 2010
Permalink:	http://link.aps.org/abstract/PRA/v81/e010303

Entanglement and area law with a fractal boundary in a topologically ordered phase

Maximally entangled states via mutual unbiased collective bases

Simulation of interacting fermions with entanglement renormalization

Source: Phys. Rev. A 81, 010303 (2010); doi:10.1103/PhysRevA.81.010303