Analytical probabilistic approach to the ground state of lattice quantum systems: Exact results in terms of a cumulant expansion
- ,
- Carlo Presilla()
- Rome U. and
- INFM, Rome and
- INFN, Rome
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Abstract: (arXiv)
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.- 05.40.-a
- 02.50.-r
- 71.10.Fd
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