61 citations · 742 across the 57 of their papers we have counts for
4 papers · 2 filters
Mathematical Methods in Quantum Optics: the Dicke Model
Eduardo Nahmad-Achar, Octavio Castaños, Ramón López-Peña +1
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…
Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors
Jorge G. Hirsch, Octavio Castanos, Ramon Lopez-Pena +1
A Hamiltonian describing the collective behaviour of N interacting spins can be mapped to a bosonic one employing the Holstein-Primakoff realisation, at the expense of having an in…
Phase transitions with finite atom number in the Dicke Model
J. G. Hirsch, O. Castaños, E. Nahmad-Achar +1
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 t…
Universal Critical Behavior in the Dicke Model
Octavio Castaños, Eduardo Nahmad-Achar, Ramón López-Peña +1
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 approa…