Instability and Entanglement of the Ground State of the Dicke Model
Abstract
Using tools of quantum information theory we show that the ground state of the Dicke model exhibits an infinite sequence of instabilities (quantum-phase-like transitions). These transitions are characterized by abrupt changes of the bi-partite entanglement between atoms at critical values κj of the atom-field coupling parameter κ and are accompanied by discontinuities of the first derivative of the energy of the ground state. We show that in a weak-coupling limit (κ1≤κ≤κ2) the Coffman-Kundu-Wootters inequalities are saturated, which proves that for these values of the coupling no intrinsic multipartite entanglement (neither among the atoms nor between the atoms and the field) is generated by the atom-field interaction. We show that in the strong-coupling limit the entangling interaction with atoms leads to a highly sub-Poissonian photon statistics of the field mode.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2005
- DOI:
- arXiv:
- arXiv:quant-ph/0503195
- Bibcode:
- 2005PhRvL..94p3601B
- Keywords:
-
- 42.50.Fx;
- 03.65.Ud;
- 03.67.-a;
- 73.43.Nq;
- Cooperative phenomena in quantum optical systems;
- Entanglement and quantum nonlocality;
- Quantum information;
- Quantum phase transitions;
- Quantum Physics
- E-Print:
- 4 pages, 3 figures