تقرير
Approximating strongly correlated spin and fermion wavefunctions with correlator product states
| العنوان: | Approximating strongly correlated spin and fermion wavefunctions with correlator product states |
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| المؤلفون: | Changlani, Hitesh J., Kinder, Jesse M., Umrigar, Cyrus J., Chan, Garnet Kin-Lic |
| المصدر: | Phys. Rev. B 80, 245116 (2009) |
| سنة النشر: | 2009 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons |
| الوصف: | We explore correlator product states for the approximation of correlated wavefunctions in arbitrary dimensions. We show that they encompass many interesting states including Laughlin's quantum Hall wavefunction, Huse and Elser's frustrated spin states, and Kitaev's toric code. We further establish their relation to common families of variational wavefunctions, such as matrix and tensor product states and resonating valence bond states. Calculations on the Heisenberg and spinless Hubbard models show that correlator product states capture both two-dimensional correlations (independent of system width) as well as non-trivial fermionic correlations (without sign problems). In one-dimensional simulations, correlator product states appear competitive with matrix product states with a comparable number of variational parameters, suggesting they may eventually provide a route to practically generalise the density matrix renormalisation group to higher dimensions. Comment: Table 1 expanded, Table 2 updated, optimization method discussed, discussions expanded in some sections, earlier work on similar wavefunctions included in text and references, see also (arXiv:0905.3898). 5 pages, 1 figure, 2 tables, submitted to Phys. Rev. B |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevB.80.245116 |
| URL الوصول: | http://arxiv.org/abs/0907.4646 |
| رقم الأكسشن: | edsarx.0907.4646 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevB.80.245116 |
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