The quantum fluctuations of charge and current in a driven nonlinear LC-circuit with a linear capacitor and a nonlinear inductor

Abstract

A nonlinear soft-core ferrite (ferromagnetic material) inductor that obeys of a polynomial current-magnetic flux relationship (typically a power series in the magnetic flux) is introduced. The quantum Hamiltonian of a nonlinear LC-circuit consisting of a linear capacitor and a nonlinear inductor under the inï¬uence of an external field is found. The energy spectrum is obtained and the quantum behavior of the nonlinear coefficients is studied numerically. The quantum fluctuations of electric charge and current are obtained as a function of the characteristic parameters then the time-dependent of the characteristic parameters and the digger squeezing is analyzed by numerical approach.