Eur. Phys. J. D (2016) 70: 131
https://doi.org/10.1140/epjd/e2016-60707-7

Regular Article

Selective excitations of a Kerr-nonlinear resonator: exactly solvable approach

¹ Institute for Physical Researches, National Academy of Sciences, Ashtarak-2, 0203 Ashtarak, Armenia
² Physics Department, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia
³ Centre of Quantum Technologies and New Materials, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia

^a e-mail: a.tamazyan@ysu.am

Received: 12 February 2016
Received in final form: 17 April 2016
Published online: 9 June 2016

Abstract

We study Kerr nonlinear resonators (KNR) driven by a continuous wave field in quantum regimes where strong Kerr interactions give rise to selective resonant excitations of oscillatory modes. We use an exact quantum theory of KNR in the framework of the Fokker-Planck equation without any quantum state truncation or perturbation procedure. This approach allows non-perturbative consideration of KNR for various quantum operational regimes including cascaded processes between oscillatory states. We focus on understanding of multi-photon non-resonant and selective resonant excitations of introcavity mode depending on the detuning, the amplitude of the driving field and the strength of nonlinearity. The analysis is provided on the base of photon number distributions, the photon-number correlation function and the Wigner function.