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

Abstract

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.

26 pages, 5 figures

References in corpus (2)

• Exact Monte Carlo time dynamics in many-body lattice quantum systems
• Ground state of many-body lattice systems: an analytical probabilistic approach

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