Dynamics of an ion coupled to a parametric superconducting circuit

Dvir Kafri; Prabin Adhikari; Jacob M. Taylor

doi:10.1103/PhysRevA.93.013412

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Dynamics of an ion coupled to a parametric superconducting circuit

Dvir Kafri, Prabin Adhikari, Jacob M. Taylor

DOI 10.1103/PhysRevA.93.013412 · Physical Review A

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Abstract

Superconducting circuits and trapped ions are promising architectures for quantum information processing. However, the natural frequencies for controlling these systems—radio-frequency ion control and microwave domain superconducting qubit control—make direct Hamiltonian interactions between them weak. In this paper we describe a technique for coupling a trapped ion's motion to the fundamental mode of a superconducting circuit, by applying to the circuit a carefully modulated external magnetic flux. In conjunction with a nonlinear element (Josephson junction), this gives the circuit an effective time-dependent inductance. We then show how to tune the external flux to generate a resonant coupling between the circuit and ion's motional mode and discuss the limitations of this approach compared to using a time-dependent capacitance.