QUANTIZATION AND SQUEEZED STATE OF 2 L-C CIRCUITS WITH MUTUAL-INDUCTANCE

It is pointed out that the quantum mechanical Hamiltonian of two L-C c ircuits with mutual-inductance is equivalent to a pair of harmonic osc illators with a kinetic coupling term. We then diagonalize the Hamilto nian. It is shown that instantaneously switching on the external sourc es may result in a two-mode squeezed state of the system, which actual ly arises from the effect of mutual-inductance. The quantum fluctuatio n for the case of l(1)c(1) = l(2)c(2) is analysed and it is found that the current fluctuation in the circuits increases with the increment of the mutual-inductance.