Higher order non-linear effects in a Josephson parametric amplifier
arXiv:1509.06154 · doi:10.1103/PhysRevB.92.224304
Abstract
Non-linearity of the current-phase relationship of a Josephson junction is the key resource for a Josephson parametric amplifier (JPA), the only device in which the quantum limit has so far been achieved at microwave frequencies. A standard approach to describe JPA takes into account only the lowest order (cubic) non-linearity resulting in a Duffing-like oscillator equation of motion or in a Kerr-type non-linearity term in the Hamiltonian. In this paper we derive the quantum expression for the gain of JPA including all orders of the Josephson junction non-linearity in the linear response regime. We then analyse gain saturation effect for stronger signals within semi-classical approach. Our results reveal non-linear effects of higher orders and their implications for operation of a JPA.
References in corpus (12)
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Observation of quantum jumps in a superconducting artificial atom
- Generating Entangled Microwave Radiation Over Two Transmission Lines
- Feedback control of a solid-state qubit using high-fidelity projective measurement
- Quantum limited amplification and entanglement in coupled nonlinear resonators
- Initialization by measurement of a two-qubit superconducting circuit
- Path Entanglement of Continuous-Variable Quantum Microwaves
- Fast charge sensing of a cavity-coupled double quantum dot using a Josephson parametric amplifier
- Microwave Emission from Hybridized States in a Semiconductor Charge Qubit
- Signal-to-pump back-action and self-oscillation in Double-Pump Josephson Parametric Amplifier
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- Squeezing Limit of the Josephson Ring Modulator as a Non-Degenerate Parametric Amplifier
- On Parametric Amplification In Discrete Josephson Transmission Line
- Practical Trainable Temporal Postprocessor for Multistate Quantum Measurement
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