Finite temperature field theory and quantum noise in inductively coupled LRC circuits

Finite temperature (0 ⩽ T < ∞) field (FTF) theory with an effective spectral lagrangian density formulation is used to study quantum noise in inductively coupled LRC circuits. Analytical solutions and numerical results for the finite second moments at temperature T which satisfy the uncertainty principle bound are given. From the numerical results, one can see the presence of a squeezed quantum state which depends upon the strength of the mutual inductance between the coupled circuits.