Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion

Details Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion

2004-12-07

arxiv.org/abs/cond-mat/0412157v2

J.Stat.Mech.0504:P04007,2005

Physics

Condensed Matter

Other Condensed Matter

26 pages, 5 figures

Scientific paper

10.1088/1742-5468/2005/04/P04007

We 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.

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