Phase locking and quantum statistics in a parametrically driven nonlinear resonator

• Main Authors: Hovsepyan, G. H., Shahinyan, A. R., Chew, Lock Yue, Kryuchkyan, G. Yu.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2018
• Subjects: Nonlinear Resonators; Phase Locked State; DRNTU::Science::Physics
• Online Access: https://hdl.handle.net/10356/89539; http://hdl.handle.net/10220/46307
• Institution: Nanyang Technological University

We discuss phase-locking phenomenon at low-level of quanta and quantum statistics for parametrically driven nonlinear Kerr resonator (PDNR). Oscillatory mode of PDNR is created in the process of a degenerate down-conversion of photons under interaction with a train of external Gaussian pulses. We calculate the distribution of photon-number states, the second-order correlation function of photons, the Wigner functions of cavity mode showing two-fold symmetry in phase space, and we analyze formation of phase-locked states in the regular as well as the quantum chaotic regime of the PDNR.