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Two-resonator circuit quantum electrodynamics: Dissipative theory

Georg M. Reuther, David Zueco, Frank Deppe, Elisabeth Hoffmann, Edwin P. Menzel, Thomas Weißl, Matteo Mariantoni, Sigmund Kohler, Achim Marx, Enrique Solano, Rudolf Gross, and Peter Hänggi
Phys. Rev. B 81, 144510 (2010)

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.
arXiv:0911.2657 [cond-mat]

[ICMM-CSIC] [Condensed Matter Theory]
last modified: 15.3.2024 by Sigmund Kohler