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Coherent, purely-dispersive three-wave mixing systems in optics and superconducting microwave circuits can be operated as parametric amplifiers, generating from a pump wave at one frequency amplified signal and idler waves at lower…

We present the theory of a Josephson parametric amplifier employing two pump sources. Our calculations are based on Input-Output Theory, and can easily be generalized to any coupled system involving parametric interactions. We analyze the…

Mesoscale and Nanoscale Physics · Physics 2009-09-09 Archana Kamal , Adam Marblestone , Michel Devoret

The recently proposed Josephson traveling-wave parametric amplifier (JTWPA) based on a ladder transmission line consisting of radio-frequency SQUIDs and exploiting three-wave mixing (3WM), has great potential in achieving both a gain of 20…

Quantum Physics · Physics 2022-11-30 Victor Gaydamachenko , Christoph Kissling , Ralf Dolata , Alexander B. Zorin

The dissipative dynamics of a pointlike Josephson junction in binary Bose-condensed mixtures is analyzed within the framework of the model of a tunneling Hamiltonian. The transmission of unlike particles across a junction is described by…

Quantum Gases · Physics 2015-05-27 S. N. Burmistrov

We investigate the macroscopic dynamics of Josephson charge pumps in the light of Alicki et al.'s theoretical description of the Josephson junction as an open quantum system described by a Markovian master equation. Once the electrostatic…

Quantum Physics · Physics 2025-09-30 Ankit Kumar , Luis Cort , Marcin Łobejko , Alejandro Jenkins , Michał Horodecki

Superconducting circuits comprising Josephson junctions have spurred significant research activity due to their promise to realize scalable quantum computers. Effective Hamiltonians for these systems have traditionally been derived assuming…

Quantum Physics · Physics 2025-10-02 Thomas J. Maldonado , Alejandro W. Rodriguez , Hakan E. Türeci

A quantum-limited amplifier enables the amplification of weak signals while introducing minimal noise dictated by the principles of quantum mechanics. These amplifiers serve a broad spectrum of applications in quantum computing, including…

Quantum Physics · Physics 2024-06-26 Abdul Mohamed , Elham Zohari , Jarryd J. Pla , Paul E. Barclay , Shabir Barzanjeh

Josephson parametric converters (JPCs) are superconducting devices capable of performing nondegenerate, three-wave mixing in the microwave domain without losses. One drawback limiting their use in scalable quantum architectures is the large…

Superconductivity · Physics 2017-02-22 Baleegh Abdo , Jose M. Chavez-Garcia , Markus Brink , George Keefe , Jerry M. Chow

Theory of the optical parametric amplification at high-frequency pumping in crystals with a regular space modulation of the sign of nonlinear coupling coefficient of interacting waves is developed. By applying the matrix method, the theory…

Optics · Physics 2007-05-23 E. V. Makeev , A. S. Chirkin

Recent progress in solid state quantum information processing has stimulated the search for ultra-low-noise amplifiers and frequency converters in the microwave frequency range, which could attain the ultimate limit imposed by quantum…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 N. Bergeal , F. Schackert , M. Metcalfe , R. Vijay , V. E. Manucharyan , L. Frunzio , D. E. Prober , R. J. Schoelkopf , S. M. Girvin , M. H. Devoret

Josephson junction parametric amplifiers are playing a crucial role in the readout chain in superconducting quantum information experiments. However, their integration with current 3D cavity implementations poses the problem of…

Quantum Physics · Physics 2014-07-23 A. Narla , K. M. Sliwa , M. Hatridge , S. Shankar , L. Frunzio , R. J. Schoelkopf , M. H. Devoret

Josephson parametric amplifiers (JPAs) approaching quantum-limited noise performance have been instrumental in enabling high fidelity readout of superconducting qubits and, recently, semiconductor quantum dots (QDs). We propose that the…

Josephson parametric amplifiers have become a critical tool in superconducting device physics due to their high gain and quantum-limited noise. Traveling wave parametric amplifiers (TWPAs) promise similar noise performance while allowing…

We present an impedance engineered Josephson parametric amplifier capable of providing bandwidth beyond the traditional gain-bandwidth product. We achieve this by introducing a positive linear slope in the imaginary component of the input…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Tanay Roy , Suman Kundu , Madhavi Chand , A. M. Vadiraj , A. Ranadive , N. Nehra , Meghan P. Patankar , J. Aumentado , A. A. Clerk , R. Vijay

We provide a general method to find the Hamiltonian of a linear circuit in the presence of a nonlinearity. Focussing on the case of a Josephson junction embedded in a transmission-line resonator, we solve for the normal modes of the system…

Quantum Physics · Physics 2012-07-18 J. Bourassa , F. Beaudoin , Jay M. Gambetta , A. Blais

We develop the concept of quasi-phasematching (QPM) by implementing it in the recently proposed Josephson traveling-wave parametric amplifier (JTWPA) with three-wave mixing (3WM). The amplifier is based on a ladder transmission line…

Superconductivity · Physics 2021-06-02 A. B. Zorin

Broadband quantum-limited amplifiers are essential for quantum information processing, yet challenges in design and fabrication continue to hinder their widespread applications. Here, we introduce the broadband merged-element Josephson…

Quantum Physics · Physics 2025-06-18 Yuting Sun , Xianke Li , Qingyu Wang , Tairong Bai , Xudong Liao , Dong Lan , Jie Zhao , Yang Yu

A microscopic theory for the coupling of intrinsic Josephson oscillations due to charge fluctuations on the quasi two-dimensional superconducting layers is presented. Thereby in close analogy to the normal state the effect of the scalar…

Superconductivity · Physics 2009-10-31 Ch. Helm , J. Keller , Ch. Preis , A. Sergeev

Low-noise amplification atmicrowave frequencies has become increasingly important for the research related to superconducting qubits and nanoelectromechanical systems. The fundamental limit of added noise by a phase-preserving amplifier is…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 Pasi Lähteenmäki , Visa Vesterinen , Juha Hassel , G. S. Paraoanu , Heikki Seppä , Pertti Hakonen

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…

Quantum Physics · Physics 2015-12-23 Bogdan A. Kochetov , Arkady Fedorov