Coherent state path integral approach to multi-time correlation functions and photon emission in a semiconductor microcavity

Abstract

In this paper by using the coherent state path integral field theory approach, we calculate the grand canonical partition function of an interacting combined system in the presence of the relevant source terms. It allows us to calculate multi-time correlation functions of interacting systems without using the quantum regression theorem. Then, we investigate the power spectrum and the second-order correlation function of the emitted photons from a microcavity in the presence of excitations of a semiconductor quantum well. By using the Hubbard–Stratonovich transformation, we investigate the effects of reservoir, detuning, the Coulomb interaction and the phase space filling on the power spectrum and the second-order correlation function of the emitted photons.

Keywords:

• coherent state path integral approach
• interacting systems
• multi-time correlation functions
• photon exciton interaction
• Coulomb interaction

Acknowledgement

The authors wish to thank the Office of Graduate Studies of the University of Isfahan and Iranian Nanotechnology Initiative for their support. The authors appreciate also Dr M. Bagheri Harouni for useful suggestions and scientific supports.