Transient Dynamics of a Superconducting Nonlinear Oscillator

P. Bhupathi, Peter Groszkowski, M. P. DeFeo, Matthew Ware, Frank K. Wilhelm, Britton Plourde

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We investigate the transient dynamics of a lumped-element oscillator based on a dc superconducting quantum interference device (SQUID). The SQUID is shunted with a capacitor, forming a nonlinear oscillator with a resonance frequency in the range of several gigahertz. The resonance frequency is varied by tuning the Josephson inductance of the SQUID with on-chip flux lines. We report measurements of decaying oscillations in the time domain following a brief excitation with a microwave pulse. The nonlinearity of the SQUID oscillator is probed by observing the ringdown response for different excitation amplitudes while the SQUID potential is varied by adjusting the flux bias. Simulations are performed on a model circuit by numerically solving the corresponding Langevin equations incorporating the SQUID potential at the experimental temperature and using parameters obtained from separate measurements characterizing the SQUID oscillator. Simulations are in good agreement with the experimental observations of the ringdowns as a function of applied magnetic flux and pulse amplitude. We observe a crossover between the occurrence of ringdowns close to resonance and adiabatic following at a larger detuning from the resonance. We also discuss the occurrence of phase jumps at a large amplitude drive. Finally, we briefly outline prospects for a readout scheme for superconducting flux qubits based on the discrimination between ringdown signals for different levels of magnetic flux coupled to the SQUID.

Original languageEnglish (US)
Article number024002
JournalPhysical Review Applied
Volume5
Issue number2
DOIs
StatePublished - Feb 1 2016

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oscillators
interference
magnetic flux
occurrences
pulse amplitude
inductance
excitation
discrimination
readout
crossovers
capacitors
simulation
adjusting
nonlinearity
chips
tuning
microwaves
oscillations
pulses
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Bhupathi, P., Groszkowski, P., DeFeo, M. P., Ware, M., Wilhelm, F. K., & Plourde, B. (2016). Transient Dynamics of a Superconducting Nonlinear Oscillator. Physical Review Applied, 5(2), [024002]. https://doi.org/10.1103/PhysRevApplied.5.024002

Transient Dynamics of a Superconducting Nonlinear Oscillator. / Bhupathi, P.; Groszkowski, Peter; DeFeo, M. P.; Ware, Matthew; Wilhelm, Frank K.; Plourde, Britton.

In: Physical Review Applied, Vol. 5, No. 2, 024002, 01.02.2016.

Research output: Contribution to journalArticle

Bhupathi, P, Groszkowski, P, DeFeo, MP, Ware, M, Wilhelm, FK & Plourde, B 2016, 'Transient Dynamics of a Superconducting Nonlinear Oscillator', Physical Review Applied, vol. 5, no. 2, 024002. https://doi.org/10.1103/PhysRevApplied.5.024002
Bhupathi, P. ; Groszkowski, Peter ; DeFeo, M. P. ; Ware, Matthew ; Wilhelm, Frank K. ; Plourde, Britton. / Transient Dynamics of a Superconducting Nonlinear Oscillator. In: Physical Review Applied. 2016 ; Vol. 5, No. 2.
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