Quantum Simulation of Interaction between Atom and Light (Mathematical Aspects of Quantum Fields and Related Topics)

Abstract

In this paper, we have showed the following results: 1. the duality between a dark state and a quasi-dark state for an artificial atom coupled to both the 1-mode photon and 1-mode phonon in cavity optomechanics; 2. the dressed photon and the Schrödinger-cat-like entangled ground state of the generalized quantum Rabi model; 3. the possibility of the conversion from virtual photon to real photon in a ground state of that model. Concerning 1, we are considering a design of the superconducting circuit experimentally to demonstrate the duality. The dark state is expected to be used as a quantum memory, and therefore, the duality could be useful for exchanging the two quantum memories. Regarding 3, we are proposing the method of how to derive the real photon in the ground state in circuit QED. The ground state is the bound state with the lowest energy, and thus, it is stable. So, the real photon in a ground state means the stable storage of a photon. Therefore, if we can succeed in obtaining a technology to derive the real photon, we have the technology for stably saving and drawing a photon from the ground-state bank.