On the thermodynamic limit of the Lipkin model
Abstract
The thermodynamic limit of the Lipkin model is investigated. While the limit turns out to be rather elusive, the analysis gives strong indications that the limit yields two analytically dissociated operators, one for the normal and one for the deformed phase. While the Lipkin Hamiltonian is Hermitian and has a secondorder phase transition in finite dimensions (finite particle number), both properties seem to be destroyed in the thermodynamic limit.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 August 2006
 DOI:
 10.1088/03054470/39/32/S10
 arXiv:
 arXiv:quantph/0603241
 Bibcode:
 2006JPhA...3910081H
 Keywords:

 Quantum Physics
 EPrint:
 9 pages, 3 figures to appear in JPhysA