TY - JOUR
T1 - Two-resonator circuit quantum electrodynamics
T2 - Dissipative theory
AU - Reuther, Georg M.
AU - Zueco, David
AU - Deppe, Frank
AU - Hoffmann, Elisabeth
AU - Menzel, Edwin P.
AU - Weißl, Thomas
AU - Mariantoni, Matteo
AU - Kohler, Sigmund
AU - Marx, Achim
AU - Solano, Enrique
AU - Gross, Rudolf
AU - Hänggi, Peter
PY - 2010/4/20
Y1 - 2010/4/20
N2 - We present a theoretical treatment for the dissipative two-resonator circuit quantum electrodynamics setup referred to as quantum switch. There, switchable coupling between two superconducting resonators is mediated by a superconducting qubit operating in the dispersive regime, where the qubit transition frequency is far detuned from those of the resonators. We derive an effective Hamiltonian for the quantum switch beyond the rotating-wave approximation and provide a detailed study of the dissipative dynamics. As a central finding, we derive analytically how the qubit affects the quantum switch even if the qubit has no dynamics, and we estimate the strength of this influence. The analytical results are corroborated by numerical calculations, where coherent oscillations between the resonators, the decay of coherent and Fock states, and the decay of resonator-resonator entanglement are studied. Finally, we suggest an experimental protocol for extracting the damping constants of qubit and resonators by measuring the quadratures of the resonator fields.
AB - We present a theoretical treatment for the dissipative two-resonator circuit quantum electrodynamics setup referred to as quantum switch. There, switchable coupling between two superconducting resonators is mediated by a superconducting qubit operating in the dispersive regime, where the qubit transition frequency is far detuned from those of the resonators. We derive an effective Hamiltonian for the quantum switch beyond the rotating-wave approximation and provide a detailed study of the dissipative dynamics. As a central finding, we derive analytically how the qubit affects the quantum switch even if the qubit has no dynamics, and we estimate the strength of this influence. The analytical results are corroborated by numerical calculations, where coherent oscillations between the resonators, the decay of coherent and Fock states, and the decay of resonator-resonator entanglement are studied. Finally, we suggest an experimental protocol for extracting the damping constants of qubit and resonators by measuring the quadratures of the resonator fields.
UR - http://www.scopus.com/inward/record.url?scp=77955193364&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.81.144510
DO - 10.1103/PhysRevB.81.144510
M3 - Article
AN - SCOPUS:77955193364
SN - 1098-0121
VL - 81
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 14
M1 - 144510
ER -