TY - GEN
T1 - Hamiltonian formulations for lossy nonlinear quantum circuits
AU - Jirauschek, Christian
AU - Russer, Peter
PY - 2012
Y1 - 2012
N2 - Hamiltonian formulations for lossy nonlinear quantum circuits are investigated. As an example for a nonlinear quantum circuit a DC biased Josephson junction connected to a resonator is treated and a circuit quantum electrodynamic representation is introduced. The DC bias is chosen such that a strong interaction of the nonlinear Josephson junction with two resonant modes occurs. The DC-biased nonlinear Josephson junction acts as a frequency converter and power exchange occurs between the two considered resonator modes and also between the resonator modes and the DC power supply. The thermal losses in the resonator are described by a heat bath and treated by the Langevin approach.
AB - Hamiltonian formulations for lossy nonlinear quantum circuits are investigated. As an example for a nonlinear quantum circuit a DC biased Josephson junction connected to a resonator is treated and a circuit quantum electrodynamic representation is introduced. The DC bias is chosen such that a strong interaction of the nonlinear Josephson junction with two resonant modes occurs. The DC-biased nonlinear Josephson junction acts as a frequency converter and power exchange occurs between the two considered resonator modes and also between the resonator modes and the DC power supply. The thermal losses in the resonator are described by a heat bath and treated by the Langevin approach.
UR - https://www.scopus.com/pages/publications/84979978276
M3 - Conference contribution
AN - SCOPUS:84979978276
T3 - Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012
SP - 90
EP - 93
BT - Proceedings of Nonlinear Dynamics of Electronic Systems, NDES 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - Nonlinear Dynamics of Electronic Systems, NDES 2012
Y2 - 11 July 2012 through 13 July 2012
ER -