Physics – Quantum Physics
Scientific paper
2011-08-02
Rev. Mex. Fis. 57 (2011) 69 - 75
Physics
Quantum Physics
8 pages, 9 figures, 1 table, Proc. Quantum Optics V, Cozumel, Mexico, November 15-19, 2010
Scientific paper
We study the numerical solutions of the Dicke Hamiltonian, which describes a system of many two level atoms interacting with a monochromatic radiation field into a cavity. The Dicke model is an example of a quantum collective behavior which shows superradiant quantum phase transitions in the thermodynamic limit. Results obtained employing two different bases are compared. Both of them use the pseudospin basis to describe the atomic states. For the photon states we use in one case Fock states, while in the other case we use a basis built over a particular coherent state, associated to each atomic state. It is shown that, when the number of atoms increases, the description of the ground state of the system in the superradiant phase requires an equivalent number of photons to be included. This imposes a strong limit to the states that can be calculated using Fock states, while the dimensionality needed to obtain convergent results in the other basis decreases when the atomic number increases, allowing calculations that are very difficult in the Fock basis. Naturally, it reduces also the computing time, economizing computing resources. We show results for the energy, the photon number and the number of excited atoms, for the ground and the first excited state.
Bastarrachea-Magnani Miguel A.
Hirsch Jorge G.
No associations
LandOfFree
Numerical solutions of the Dicke Hamiltonian does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Numerical solutions of the Dicke Hamiltonian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical solutions of the Dicke Hamiltonian will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-662725