Josephson-junction-embedded transmission-line resonators: From Kerr medium to in-line transmon

Bourassa, Jérôme; Beaudoin, Félix; Gambetta, Jay; Blais, Alexandre

doi:10.1103/physreva.86.013814

Cited by 178 publications

(241 citation statements)

References 41 publications

Supporting

Mentioning

235

Contrasting

Order By: Relevance

“…The Josephson junction provides the nonlinearity through the term E J cos(2π/ 0 δφ) in the effective action. Here E J is the Josephson energy, 0 the flux quanta, and δφ the jump in the flux at both sides of the junction [33,34]. In Ref.…”

Section: Circuit-qed Implementationmentioning

confidence: 99%

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

et al. 2015

View full text Add to dashboard Cite

We demonstrate that stationary localized solutions (discrete solitons) exist in one-dimensional Bose-Hubbard lattices with gain and loss in a semiclassical regime. Stationary solutions, by definition, are robust and do not demand state preparation. Losses, unavoidable in experiments, are not a drawback, but a necessary ingredient for these modes to exist. The semiclassical calculations are complemented with their classical limit and dynamics based on a Gutzwiller ansatz. We argue that circuit quantum electrodynamic architectures are ideal platforms for realizing the physics developed here. Finally, within the input-output formalism, we explain how to experimentally access the different phases, including the solitons, of the chain.

show abstract

Section: Circuit-qed Implementationmentioning

confidence: 99%

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

et al. 2015

View full text Add to dashboard Cite

show abstract

“…As the leading neglected correction is of order Λ 2 /ω 0 , this approximation is valid in the regime |Λ| /ω 0 1 which is relevant for typical JPA frequencies and Kerr nonlinearities corresponding to |Λ| /ω 0 ∼ 10 −2 to 10 −6 [44]. We note that the Transmon qubit has the same circuit and Hamiltonian as a JPA but operates at larger Kerr nonlinearities [45].…”

Section: A Jpa Circuitmentioning

confidence: 98%

“…To keep the notation light, we neglect this simple renormalization of parameters in the present work. While the Kerr Hamiltonian was obtained from the lumped-element circuit, the same Hamiltonian with renormalized parameters would apply for a distributed nonlinear resonator in the single-mode approximation [9,44], or a lumped-element JPA with additional linear inductances [36]. However, it is worth noting that, in both cases, the additional inductances can reduce the validity of the quartic potential approximation.…”

Section: A Jpa Circuitmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

et al. 2017

View full text Add to dashboard Cite

Single-mode Josephson junction-based parametric amplifiers are often modeled as perfect amplifiers and squeezers. We show that, in practice, the gain, quantum efficiency, and output field squeezing of these devices are limited by usually neglected higher-order corrections to the idealized model. To arrive at this result, we derive the leading corrections to the lumped-element Josephson parametric amplifier of three common pumping schemes: monochromatic current pump, bichromatic current pump, and monochromatic flux pump. We show that the leading correction for the last two schemes is a single Kerr-type quartic term, while the first scheme contains additional cubic terms. In all cases, we find that the corrections are detrimental to squeezing. In addition, we show that the Kerr correction leads to a strongly phase-dependent reduction of the quantum efficiency of a phase-sensitive measurement. Finally, we quantify the departure from ideal Gaussian character of the filtered output field from numerical calculation of third and fourth order cumulants. Our results show that, while a Gaussian output field is expected for an ideal Josephson parametric amplifier, higher-order corrections lead to non-Gaussian effects which increase with both gain and nonlinearity strength. This theoretical study is complemented by experimental characterization of the output field of a flux-driven Josephson parametric amplifier. In addition to a measurement of the squeezing level of the filtered output field, the Husimi Q-function of the output field is imaged by the use of a deconvolution technique and compared to numerical results. This work establishes nonlinear corrections to the standard degenerate parametric amplifier model as an important contribution to Josephson parametric amplifier's squeezing and noise performance.

show abstract

“…The source of squeezing is a Josephson parametric amplifier pumped at twice the cavity frequency, which is described well by H 1 [33]. In the strong dispersive regime, the qubit is sufficiently far detuned from the cavity that, provided the number of photons in the cavity remains low, it is never significantly excited.…”

Section: Realization In Circuit Qedmentioning

confidence: 99%

Enhancement and state tomography of a squeezed vacuum with circuit quantum electrodynamics

Elliott

Ginossar

2015

Phys. Rev. A

View full text Add to dashboard Cite

We study the dynamics of a general quartic interaction Hamiltonian under the influence of dissipation and nonclassical driving. We show that this scenario could be realized with a cascaded superconducting cavity-qubit system in the strong dispersive regime in a setup similar to recent experiments. In the presence of dissipation, we find that an effective Hartree-type decoupling with a Fokker-Planck equation yields a good approximation. We find that the stationary state is approximately a squeezed vacuum, which is enhanced by the Q factor of the cavity but conserved by the interaction. The qubit nonlinearity, therefore, does not significantly influence the highly squeezed intracavity microwave field but, for a range of realistic parameters, enables characterization of itinerant squeezed fields.

show abstract

Josephson-junction-embedded transmission-line resonators: From Kerr medium to in-line transmon

Cited by 178 publications

References 41 publications

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

Stationary discrete solitons in a driven dissipative Bose-Hubbard chain

Effect of Higher-Order Nonlinearities on Amplification and Squeezing in Josephson Parametric Amplifiers

Enhancement and state tomography of a squeezed vacuum with circuit quantum electrodynamics

Contact Info

Product

Resources

About