Fock space for fermion-like lattices and the linear Glauber model

Érica M. Silva, Paulo T. Muzy and Ademir E. Santana

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 21, 5101-5109

Abstract: The concept of Fock space representation is developed to deal with stochastic spin lattices written in terms of fermion operators. A density operator is introduced in order to follow in parallel the developments of the case of bosons in the literature. Some general conceptual quantities for spin lattices are then derived, including the notion of generating function and path integral via Grassmann variables. The formalism is used to derive the Liouvillian of the d-dimensional Linear Glauber dynamics in the Fock-space representation. Then the time evolution equations for the magnetization and the two-point correlation function are derived in terms of the number operator.

Keywords: Linear Glauber model; Fock space; Spin lattice (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:21:p:5101-5109

DOI: 10.1016/j.physa.2008.04.015

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