Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevB.84.205108
Title: Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states
Authors: Al-Assam, S.
Clark, S.R. 
Foot, C.J.
Jaksch, D. 
Issue Date: 10-Nov-2011
Citation: Al-Assam, S., Clark, S.R., Foot, C.J., Jaksch, D. (2011-11-10). Capturing long range correlations in two-dimensional quantum lattice systems using correlator product states. Physical Review B - Condensed Matter and Materials Physics 84 (20) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevB.84.205108
Abstract: We study the suitability of correlator product states for describing ground-state properties of two-dimensional spin models. Our ansatz for the many-body wave function takes the form of either plaquette or bond correlator product states, and the energy is optimized by varying the correlators using Monte Carlo minimization. For the Ising model, we find that plaquette correlators are best for estimating the energy, while bond correlators capture the expected long range correlations and critical behavior of the system more faithfully. For the antiferromagnetic Heisenberg model, however, plaquettes outperform bond correlators at describing both local and long range correlations because of the substantially larger number of local parameters they contain. These observations have quantitative implications for the application of correlator product states to other more complex systems, and they give important heuristic insights, in particular, the necessity of carefully tailoring the choice of correlators to the system considered, and its interactions and symmetries. © 2011 American Physical Society.
Source Title: Physical Review B - Condensed Matter and Materials Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/116248
ISSN: 10980121
DOI: 10.1103/PhysRevB.84.205108
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