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28 March 2024
 
  » arxiv » cond-mat/0412157

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Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion
Massimo Ostilli ; Carlo Presilla ;
Date 7 Dec 2004
Journal JSTAT 0504 (2005) 007 DOI: 10.1088/1742-5468/2005/04/P04007
Subject Other; Probability | cond-mat.other hep-lat math.PR quant-ph
AbstractWe present a large deviation analysis of a recently proposed probabilistic approach to the study of the ground-state properties of lattice quantum systems. The ground-state energy, as well as the correlation functions in the ground state, are exactly determined as a series expansion in the cumulants of the multiplicities of the potential and hopping energies assumed by the system during its long-time evolution. Once these cumulants are known, even at a finite order, our approach provides the ground state analytically as a function of the Hamiltonian parameters. A scenario of possible applications of this analyticity property is discussed.
Source arXiv, cond-mat/0412157
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