Universal critical behavior in the Dicke model

@article{Castaos2012UniversalCB,
  title={Universal critical behavior in the Dicke model},
  author={Octavio Casta{\~n}os and Eduardo Nahmad-Achar and Ram'on L'opez-Pena and Jorge G. Hirsch},
  journal={Physical Review A},
  year={2012},
  volume={86},
  pages={023814}
}
The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and symmetry-adapted states, while for the exact quantum solution the concept of fidelity is employed. These procedures allow for the determination of the phase transitions in the model, and coincide in the thermodynamic limit. For the three cases men- tioned above… 

Figures from this paper

Quantum phase crossovers with finite atom number in the Dicke model
Two-level atoms interacting with a one-mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom–cavity
Mathematical methods in quantum optics: the Dicke model
We show how various mathematical formalisms, specifically the catastrophe formalism and group theory, aid in the study of relevant systems in quantum optics. We describe the phase transition of the
Universal critical behaviour of 3-level atoms interacting dipolarly with radiation
A system of 3-level atoms interacting with 2-modes of electromagnetic radiation is studied by means of a variational procedure. This allows us to establish the corresponding quantum phase diagram and
Single and collective regimes in three-level systems interacting with a one-mode electromagnetic field
A semiclassical analysis is presented to determine the quantum phase transition from single to collective regimes in three-level atoms in the presence of a radiation field. The energy surfaces of the
Phase diagrams of systems of two and three levels in the presence of a radiation field
We study the structure of the phase diagram for systems consisting of two- and three-level particles dipolarly interacting with a one-mode electromagnetic field, inside a cavity, paying particular
Variational treatment of entanglement in the Dicke model
We introduce a variational ansatz for the Dicke model that extends mean-field theory through the inclusion of spin–oscillator correlations. The correlated variational state is obtained from the
Singularities in large deviations of work in quantum quenches
We investigate large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point, using as an example the Dicke model quenched from its
Quantum phase transition of two-level atoms interacting with a finite radiation field
We introduce a group-theoretical extension of the Dicke model which describes an ensemble of two-level atoms interacting with a finite radiation field. The latter is described by a spin model whose
Quantum phases of a three-level matter-radiation interaction model using SU(3) coherent states with different cooperation numbers
We use coherent states as trial states for a variational approach to study a system of a finite number of three-level atoms interacting in a dipolar approximation with a one-mode electromagnetic
Multiple stable states and Dicke phase transition for two atoms in an optical cavity
Abstract We study in the present paper the multiple stable states of two different atoms in a single-mode quantum cavity by means of variational method. Eigenenergies and eigenstates are obtained
...
1
2
...

References

SHOWING 1-10 OF 17 REFERENCES
E
  • Nahmad-Achar, and J.G. Hirsch in XXXV Symposium on Nuclear Physics IOP Journal of Physics: Conference Series
  • 2012
E
  • Nahmad-Achar, and J.G. Hirsch in XXXV Symposium on Nuclear Physics IOP Journal of Physics: Conference Series
  • 2012
Phil
  • Trans. R. Soc. A 369, 1137
  • 2011
Phys
  • Rev. A Rapid Comm. 83, 051601(R)
  • 2011
Int
  • J. Mod. Phys. B 24, 4371
  • 2010
Int
  • J. Mod. Phys. B 24, 4371
  • 2010
Nature 464
  • 1301
  • 2010
Phys
  • Rev. Lett. 104, 130401
  • 2010
R
  • López-Peña, and J.G. Hirsch in Symmetries in Nature AIP Conference Proceedings 1323, p. 40-59 Eds. L. Benet, P.O. Hess, J.M. Torres, K.B. Wolf
  • 2010
R
  • López-Peña, and J.G. Hirsch in Symmetries in Nature AIP Conference Proceedings 1323, p. 40-59 Eds. L. Benet, P.O. Hess, J.M. Torres, K.B. Wolf
  • 2010
...
1
2
...