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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.22630 |
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| _version_ | 1866909712307453952 |
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| author | Bhoite, Rajlaxmi Choudhury, Shraddhanjali |
| author_facet | Bhoite, Rajlaxmi Choudhury, Shraddhanjali |
| contents | This paper presents a detailed theoretical review of the amplification process in Josephson Parametric Amplifiers (JPAs), which are crucial for quantum-limited signal amplification in superconducting circuits. The paper begins by outlining the principles of parametric amplification, focusing on how a strong classical pump interacts with the nonlinear Josephson medium in reflection geometry. The key dynamical equations are derived under intense pumping, leading to a nonlinear steady-state solution. Linearization around this solution allows to analyze the system response to weak signals and extract expressions for parametric gain and intermodulation gain using the input-output formalism. Numerically, the equations are solved to explore how the gain depends on frequency detuning and pump strength, which is visualized with a gain response curve. By enhancing our understanding of JPAs, this work aims to inspire continued research in the field of quantum-limited amplification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22630 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parametric Amplification in Kerr Nonlinear Resonators: A theoretical review of Josephson Parametric Amplifiers Bhoite, Rajlaxmi Choudhury, Shraddhanjali Quantum Physics This paper presents a detailed theoretical review of the amplification process in Josephson Parametric Amplifiers (JPAs), which are crucial for quantum-limited signal amplification in superconducting circuits. The paper begins by outlining the principles of parametric amplification, focusing on how a strong classical pump interacts with the nonlinear Josephson medium in reflection geometry. The key dynamical equations are derived under intense pumping, leading to a nonlinear steady-state solution. Linearization around this solution allows to analyze the system response to weak signals and extract expressions for parametric gain and intermodulation gain using the input-output formalism. Numerically, the equations are solved to explore how the gain depends on frequency detuning and pump strength, which is visualized with a gain response curve. By enhancing our understanding of JPAs, this work aims to inspire continued research in the field of quantum-limited amplification. |
| title | Parametric Amplification in Kerr Nonlinear Resonators: A theoretical review of Josephson Parametric Amplifiers |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.22630 |