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Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension

Anders, S. and Plenio, M. B. and Dür, W. and Verstraete, F. and Briegel, H.-J. (2006) Ground-state approximation for strongly interacting spin systems in arbitrary spatial dimension. Physical Review Letters, 97 (10). Art. No. 107206. ISSN 0031-9007.

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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 multiparticle 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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Additional Information:©2006 The American Physical Society. Received 28 February 2006; published 8 September 2006. We thank J.I. Cirac for valuable discussions and J. Eisert for suggesting the use of the Anderson bound. This work was supported by the FWF, the QIP-IRC funded by EPSRC (GR/S82176/0), the European Union (QUPRODIS, OLAQUI, SCALA, QAP), the DFG, the Leverhulme Trust (F/07 058/U), the Royal Society, and the ÖAW through project APART (W.D.). Some of the calculations have been carried out using facilities of the University of Innsbruck’s Konsortium Hochleistungsrechnen.
Issue or Number:10
Record Number:CaltechAUTHORS:ANDprl06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5121
Deposited By: Lindsay Cleary
Deposited On:02 Oct 2006
Last Modified:02 Oct 2019 23:19

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