Simulation of interacting fermions with entanglement renormalization

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.010303· OSTI ID:21388659

Corboz, Philippe; Evenbly, Glen; Vidal, Guifre ^[1]; Verstraete, Frank ^[2]

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1. School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072 (Australia)
2. Fakultaet fuer Physik, Universitaet Wien, Boltzmanngasse 3, A-1090 Wien (Austria)

We propose an algorithm to simulate interacting fermions on a two-dimensional lattice. The approach is an extension of the entanglement renormalization technique [Phys. Rev. Lett. 99, 220405 (2007)] and the related multiscale entanglement renormalization ansatz. Benchmark calculations for free and interacting fermions on lattices ranging from 6x6 to 162x162 sites with periodic boundary conditions confirm the validity of this proposal.

• OSTI ID: 21388659
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.010303; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
BOUNDARY CONDITIONS
FERMIONS
PERIODICITY
QUANTUM ENTANGLEMENT
RENORMALIZATION
SIMULATION
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL LOGIC
VARIATIONS