Semiconductor-cavity QED in high- Q regimes withq-deformed bosons

The high-density Frenkel excitons, which interact with a single-mode cavity field, are investigated in the framework of the q-deformed boson. It is shown that the q-deformed bosonic commutation relations are satisfied naturally by the exciton operators in the high-density limit. An analytical expression of the physical spectra of the excitons is obtained by using the dressed states of the cavity field and the excitons. We also give the numerical study and compare the theoretical results with the experimental results.