Details
| Original language | English |
|---|---|
| Article number | 100408 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 85 |
| Issue number | 10 |
| Publication status | Published - 27 Mar 2012 |
Abstract
A variational ansatz for momentum eigenstates of translation-invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically nontrivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet, and we obtain surprisingly accurate results.
ASJC Scopus subject areas
- Materials Science(all)
- Electronic, Optical and Magnetic Materials
- Physics and Astronomy(all)
- Condensed Matter Physics
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In: Physical Review B - Condensed Matter and Materials Physics, Vol. 85, No. 10, 100408, 27.03.2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational matrix product ansatz for dispersion relations
AU - Haegeman, Jutho
AU - Pirvu, Bogdan
AU - Weir, David J.
AU - Cirac, J. Ignacio
AU - Osborne, Tobias J.
AU - Verschelde, Henri
AU - Verstraete, Frank
PY - 2012/3/27
Y1 - 2012/3/27
N2 - A variational ansatz for momentum eigenstates of translation-invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically nontrivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet, and we obtain surprisingly accurate results.
AB - A variational ansatz for momentum eigenstates of translation-invariant quantum spin chains is formulated. The matrix product state ansatz works directly in the thermodynamic limit and allows for an efficient implementation (cubic scaling in the bond dimension) of the variational principle. Unlike previous approaches, the ansatz includes topologically nontrivial states (kinks, domain walls) for systems with symmetry breaking. The method is benchmarked using the spin-1/2 XXZ antiferromagnet and the spin-1 Heisenberg antiferromagnet, and we obtain surprisingly accurate results.
UR - http://www.scopus.com/inward/record.url?scp=84859237442&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.85.100408
DO - 10.1103/PhysRevB.85.100408
M3 - Article
AN - SCOPUS:84859237442
VL - 85
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 1098-0121
IS - 10
M1 - 100408
ER -