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
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.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2016