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Fluctuating Nonlinear OscillatorsFrom Nanomechanics to Quantum Superconducting Circuits$
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Mark Dykman

Print publication date: 2012

Print ISBN-13: 9780199691388

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199691388.001.0001

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Nondegenerate, three‐wave mixing with Josephson junctions

Nondegenerate, three‐wave mixing with Josephson junctions

(p.119) 5 Nondegenerate, three‐wave mixing with Josephson junctions
Fluctuating Nonlinear Oscillators

M.H. Devoret

A. Kamal

B. Abdo

Oxford University Press

Non-linear microwave devices based on Josephson tunnel junctions and operating near the quantum limit have so far been based on SQUIDS and degenerate parametrically pumped oscillators, or related systems. This chapter addresses a new type of Josephson device operation that performs quantum analog signal processing, namely that of non-degenerate three-wave mixing. Both quantum-limited amplification and frequency conversion are possible with such devices, and their characteristics are entirely calculable analytically. The chapter in particular discusses the relationships between photon number gain, bandwidth, and dynamic range.

Keywords:   Josephson junction, nonlinear oscillator, quantum-limited amplification, frequency conversion, three-wave mixing

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