Single mode quantum properties of the codirectional Kerr nonlinear coupler: frequency mismatch and exact solution

Abstract

In this paper, we investigate the single mode quantum properties of the codirectional Kerr nonlinear coupler when the frequency mismatch is involved and a condition for an exact solution of equations of motion is fulfilled. Particularly, we investigate quadrature and principal squeezing, Wigner function, quadrature distribution, phase distribution and phase variance. We show that the quadrature squeezing and the phase variance can exhibit collapse-revival and collapse-revival-subrevival phenomena, respectively, based on the values of the detuning parameter. Furthermore, we analytically demonstrate that the system can generate cat states, in particular, Yurke-Stoler states.

26 pages, 7 figures

References in corpus (3)

• Generation of discrete superpositions of coherent states in the anharmonic oscillator model
• Quantum phase properties of two-mode Jaynes-Cummings model for Schrödinger-cat states: interference and entanglement
• Robustness of nonclassical superpositions states against decoherence

Cited by in corpus (6)

• Quantum properties of the codirectional three-mode Kerr nonlinear coupler
• Variance squeezing and entanglement of the XX central spin model
• Tripartite entanglement dynamics for atom in a two-mode nonlinear cavity
• Kicked nonlinear quantum scissors and entanglement generation
• Higher-order squeezing for the codirectional Kerr nonlinear coupler
• Squeezing properties of the Kerr-down conversion system