Microwave degenerate parametric down-conversion with a single cyclic three-level system in circuit QED

Abstract

With the assistance of a single cyclic three-level system, which can be realized by a superconducting flux qubit, we study theoretically the degenerate microwave parametric down-conversion (PDC) in a superconducting transmission line resonator with the fundamental and second harmonic modes involved. By adiabatically eliminating the excited states of the three-level system, we obtain an effective microwave PDC Hamiltonian for the two resonator modes in such a circuit QED system. The corresponding PDC efficiency in our model can be much larger than that in the similar circuit QED system based on a single two-level superconducting qubit [K. Moon and S. M. Girvin, Phys. Rev. Lett. {\bf 95}, 140504 (2005)]. Furthermore, we consider the squeezing and bunching behavior of the fundamental mode resulting from the coherent drive to the second harmonic one.

6 pages, 4 figures submitted to Phys. Rev. A

References in corpus (11)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• A Quantum-Enhanced Prototype Gravitational-Wave Detector
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Two-photon probe of the Jaynes-Cummings model and symmetry breaking in circuit QED
• Generalized Stern-Gerlach Effect for Chiral Molecules
• Non-degenerate, three-wave mixing with the Josephson ring modulator
• Electromagnetically-induced transparency with amplification in superconducting circuits
• Microwave Down-Conversion with an Impedance-Matched $\Lambda$ System in Driven Circuit QED
• Frequency up- and down-conversions in two-mode cavity quantum electrodynamics
• Fabrication Technology of and Symmetry Breaking in Superconducting Quantum Circuits
• Time-dependent Fröhlich transformation approach for two-atom entanglement generated by successive passage through a cavity