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Physical Review A

Preparation of microwave single-photon states via a superconducting circuit

Yun‐Feng Xiao, Xu‐Bo Zou, Yong Hu, Zheng‐Fu Han, Guang‐Can Guo

Published Sep 12, 2006• 4 citations
Publisher

Abstract

We propose a scheme for preparing a stationary microwave single-photon state of a transmission line resonator via off-resonant interaction with a single superconducting Cooper-pair Box (CPB). It is shown that with the help of an auxiliary microwave field, single-photon state can be persistently produced with high efficiency by using the CPB and cavity loss. The scheme is feasible with the current experimental technology and can be extended to prepare a multiphoton Fock state in a transmission line cavity.

DOI
10.1103/physreva.74.032309

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Abstract Optimal generation of photon Fock states is of significance to quantum science and technology. Here we develop a theoretical scheme for fast generating microwave photon Fock states in a circuit quantum electrodynamics (QED) via invariant-based shortcuts to adiabaticity. A superconducting transmon qubit is dispersively coupled to a cavity field of transmission line resonator. Two classical drivings are applied to a composite system, consisting of a transmon qubit and cavity field. In the two-photon resonance with a large intermediate-level detuning, a single-photon Fock state can be fast created by inversely engineering Rabi couplings. With the assistance of auxiliary driving, qubit state can be initialized for inducing multi-photon Fock states in the shortcut manner. Due to negligible leakage effects and high robustness, our scheme offers a potential way to rapidly prepare photon Fock states with a superconducting qubit in circuit QED.
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We study theoretically the parametric down-conversion and squeezing of microwaves using cavity quantum electrodynamics of a superconducting Cooper-pair box (CPB) qubit located inside a transmission line resonator. The nonlinear susceptibility chi2 describing three-wave mixing can be tuned by dc gate voltage applied to the CPB and vanishes by symmetry at the charge degeneracy point. We show that the coherent coupling of different cavity modes through the qubit can generate a squeezed state. Based on parameters realized in recent successful circuit QED experiments, squeezing of 95% approximately 13 dB below the vacuum noise level should be readily achievable.
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