English

Quantum phase transitions in an effective Hamiltonian: fast and slow systems

Quantum Physics 2009-11-13 v1

Abstract

An effective Hamiltonian describing interaction between generic "fast" and a "slow" systems is obtained in the strong interaction limit. The result is applied for studying the effect of quantum phase transition as a bifurcation of the ground state of the "slow subsystem" in the thermodynamic limit. Examples as atom-field and atom-atom interactions are analyzed in detail.

Keywords

Cite

@article{arxiv.0801.4689,
  title  = {Quantum phase transitions in an effective Hamiltonian: fast and slow systems},
  author = {Isabel Sainz and Andrei B. Klimov and Luis Roa},
  journal= {arXiv preprint arXiv:0801.4689},
  year   = {2009}
}