- Conference date: 14–16 June 2011
- Location: Växjö, Sweden
We show that the ground state of the Tavis-Cummings (TC) model of N 2-level systems in interaction with a 1-mode radiation field can be mirrored by a semi-classical state to an excellent approximation. The latter is obtained through a projection of a variational tensorial product of coherent states onto the value of the constant of motion of the TC Hamiltonian which minimises the (classical) energy of the ground state. This projection restores the Hamiltonian symmetry, and is amiable to analytical calculations. The observed super-radiant phase-transitions are reflected by this projected state, and an excellent agreement with the exact quantum solution for the ground state is obtained as regards to the entanglement entropy between the matter and field, the squeezing parameter of the state, the probability distributions of photons and atoms, and the expectation value of all field and matter observables of interest, including the photon number dispersion. All these are given in analytic form. The fitness between our approximation and the exact quantum solution is measured through the evaluation of the fidelity parameter; this is very close to 1, except in the region of classical phase transitions, as is to be expected. The presented approach may enable novel investigations of super-radiant and sub-radiant states of artificial atoms, where the relevant control parameters can be manipulated to cross the separatrix.
MOST READ THIS MONTH
MOST CITED THIS MONTH
Article metrics loading...