Higher-order nonlinear effects in a Josephson parametric amplifier

Kochetov, Bogdan and Fedorov, Arkady (2015) Higher-order nonlinear effects in a Josephson parametric amplifier. Physical Review B - Condensed Matter and Materials Physics, 92 22: . doi:10.1103/PhysRevB.92.224304

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Author Kochetov, Bogdan
Fedorov, Arkady
Title Higher-order nonlinear effects in a Josephson parametric amplifier
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1550-235X
1098-0121
Publication date 2015-12-18
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevB.92.224304
Open Access Status File (Publisher version)
Volume 92
Issue 22
Total pages 7
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract Nonlinearity of the current-phase relationship of a Josephson junction is the key resource for a Josephson parametric amplifier (JPA) as well as for a Josephson traveling-wave parametric amplifier, the only devices in which the quantum limit for added noise has so far been approached at microwave frequencies. A standard approach to describe JPA takes into account only the lowest order (cubic) nonlinearity resulting in a Duffing-like oscillator equation of motion or in a Kerr-type nonlinearity term in the Hamiltonian. In this paper we derive the quantum expression for the gain of JPA including all orders of the Josephson junction nonlinearity in the linear response regime. We then analyze gain saturation effect for stronger signals within a semiclassical approach. Our results reveal nonlinear effects of higher orders and their implications for operation of a JPA.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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