Squeezed state, characteristic frequency and quantum noise of a mesoscopic two-loop L–C circuit with capacity coupling

Abstract For the first time we employ the method of integration within ordered product of operators to search for quantum squeezing operator and squeezed state for daigonalizing the mesoscopic two-loop L – C circuit with capacity C 3 coupling. We also deduce the energy level (characteristic frequecncy) ω ± 2 = C 2 L 2 C 1 + C 3 + C 1 L 1 C 3 + C 2 2 C 1 C 2 C 3 L 1 L 2 ± 1 2 C 1 + C 3 C 1 C 3 L 1 − C 2 + C 3 C 2 C 3 L 2 2 + 4 C 3 2 L 1 L 2 and derive the exact quantum noise expression. The way we adopt here is benificial to mesoscopic circuit design for quantum computer.