dorsal/arxiv
View SchemaGround state approximation for strongly interacting systems in arbitrary dimension
| Authors | S. Anders, M. B. Plenio, W. Dür, F. Verstraete, H. -J. Briegel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602230 |
| URL | https://arxiv.org/abs/quant-ph/0602230 |
| DOI | 10.1103/PhysRevLett.97.107206 |
| Journal | Phys. Rev. Lett. 97, 107206 (2006) |
Abstract
We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These states allow for the efficient computation of all local observables (e.g. energy) and include states with diverging correlation length and unbounded multi-particle entanglement. As a demonstration we apply our approach to the Ising model on 1D, 2D and 3D square-lattices. We also present generalizations to higher spins and continuous-variable systems, which allows for the investigation of lattice field theories.
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"abstract": "We introduce a variational method for the approximation of ground states of\nstrongly interacting spin systems in arbitrary geometries and spatial\ndimensions. The approach is based on weighted graph states and superpositions\nthereof. These states allow for the efficient computation of all local\nobservables (e.g. energy) and include states with diverging correlation length\nand unbounded multi-particle entanglement. As a demonstration we apply our\napproach to the Ising model on 1D, 2D and 3D square-lattices. We also present\ngeneralizations to higher spins and continuous-variable systems, which allows\nfor the investigation of lattice field theories.",
"arxiv_id": "quant-ph/0602230",
"authors": [
"S. Anders",
"M. B. Plenio",
"W. D\u00fcr",
"F. Verstraete",
"H. -J. Briegel"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevLett.97.107206",
"journal_ref": "Phys. Rev. Lett. 97, 107206 (2006)",
"title": "Ground state approximation for strongly interacting systems in arbitrary dimension",
"url": "https://arxiv.org/abs/quant-ph/0602230"
},
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