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

Author

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

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.

Suggested Citation

  • Silva, Érica M. & Muzy, Paulo T. & Santana, Ademir E., 2008. "Fock space for fermion-like lattices and the linear Glauber model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5101-5109.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5101-5109
    DOI: 10.1016/j.physa.2008.04.015
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    Cited by:

    1. Greenman, Chris D., 2018. "Doi–Peliti path integral methods for stochastic systems with partial exclusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 211-221.

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