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Ground state of many-body lattice systems: an analytical probabilistic approach | | Massimo Ostilli
; Carlo Presilla
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29 Jul 2004 | | Journal: | New J.Phys. 6 (2004) 107 DOI: 10.1088/1367-2630/6/1/107 | | Subject: | Other; Probability; Mathematical Physics | cond-mat.other hep-lat math-ph math.MP math.PR quant-ph | | Abstract: | On the grounds of a Feynman-Kac--type formula for Hamiltonian lattice systems we derive analytical expressions for the matrix elements of the evolution operator. These expressions are valid at long times when a central limit theorem applies. As a remarkable result we find that the ground-state energy as well as all the correlation functions in the ground state are determined semi-analytically by solving a simple scalar equation. Furthermore, explicit solutions of this equation are obtained in the noninteracting case. | | Source: | arXiv, cond-mat/0407756 | | Services: | Forum | Review | PDF | Favorites | |
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