Generator of Electromagnetic Pulses by an Array of Josephson Qubits with Hybrid Coupling to a Resonator

Abstract

The generation of a periodic sequence of electromagnetic pulses by an array of Josephson qubits imbedded in a superconducting resonator and coupled to the resonator strip by means of capacitors and inductors (electro-dipole and magneto-dipole interaction) is studied. It is shown that in a single-mode approximation, the system of qubits is described by a generalized Rabi–Dicke model. In the case of a dense chain of qubits and a large mode population, the quasi-classical approximation is used to describe the electromagnetic field and collective excitations of qubits (Maxwell–Bloch equations). It is shown that this system can generate electric and magnetic solitons, as well as their mixtures. It is found that in the case of symmetric coupling of qubits with a resonator, dense and stable sequences (trains) of solitons are generated.