Аннотация:Recently [1], there has been shown the presence of coherent excited states in a diffusive s-wave superconductor irradiated by a microwave field. It was demonstrated [1], that the ground state of such superconductor is altered qualitatively, the density of states acquires steps at multiples of photon energy and shows an exponential-like tail in the subgap regime. Theoretical analysis of the influence of inelastic processes on coherent excited states of a superconductor in a convenient tunnel model were done in paper [2]. The model used in [2] is a thin dirty superconducting strip in contact with a diffuse normal metallic reservoir through an opaque tunnel barrier.
In this presentation we consider the case of tunnel relaxation to a diffuse superconducting reservoir. The equations for spectral functions of the superconductor and for non-equilibrium distribution function were obtained.
The obtained results are important in the construction of superconducting parametric amplifiers and superconducting resonators.
We are grateful to a financial support of Russian Foundation for Basic Researches, Grant No. 1702-00757, and of Russian Scientific Foundation, Grant No. 17-72-30036, and of a financial support of Ministry of Education and Science of the Russian Federation, contract No. 14.B25.31.0007.
1. A.V. Semenov, I.A. Devyatov, P.J. de Visser and T.M. Klapwijk. "Coherent Excited States in Superconductors due to a Microwave field". Phys. Rev. Lett., 117, p. 047002, 2016.
2. A.V. Semenov, I.A. Devyatov, M. P. Westig, T. M. Klapwijk, “The contribution of microwaves to the Cooper-pair condensate of a superconductor in the presence of inelastic processes”, http://arxiv.org/abs/1801.03311