A quantum theory of an RLC circuit with a source

Thermal State for the Capacitance Coupled Mesoscopic Circuit with a Power Source

“…The miniaturization of integrated circuits and components towards atomic scale dimensions required the development of quantum theory on a mesoscopic circuit, since the charge carriers exhibit quantum mechanical properties while the application of classical mechanics invalid (Buot, 1993). The quantum fluctuations of charge and current for the time-dependent LC circuit (Baseia and De Brito, 1993) and RLC linear circuit (Chen et al, 1995;Louisell, 1973;Zhang et al, 1998) with a power source have been investigated in the literatures. In the previous paper (Choi et al, 2002), using unitary transformation approach, we obtained wave functions with continuous spectrum as well as discrete spectrum for the RLC linear circuit driven by time-dependent electromotive force by introducing classical particular solutions of the system.…”

A multi-Josephson junction qubit

“…3, that nulls d/ a or d/ s single qubit excitations, and any uniform external perturbation into the bus. The operators for flux and charge in the LC oscillator can be written in terms of creation and annihilation operators fa þ ; ag as [11].…”

An investigation of algebraic quantum dynamics for mesoscopic coupled electric circuits with mutual inductance

“…In this theory the discreteness of the electric charge plays an important role and has a fundamental concept in electronic devices. Therefore, a lot of interest researches have grown in the study of quantum mesoscopic electronic circuits LC with discrete charge [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. With the dramatic development electronic devices, including quantum computers and nano-devices, the research on the fields of role the mutual inductance in two coupled mesoscopic electric LC circuits with charge discrete are paid close attentions.…”

“…are external fields, L 1 and L 2 are the self-inductance coefficients, C 1 and C 2 are the capacitances and m is the mutual inductance. The classical Lagrangian of this system is given by [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] …”