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We investigate a network of coupled superconducting transmission line resonators, each of them made nonlinear with a capacitively shunted Josephson junction coupling to the odd flux modes of the resonator. The resulting eigenmode spectrum…

Superconductivity · Physics 2012-07-31 Martin Leib , Frank Deppe , Achim Marx , Rudolf Gross , Michael Hartmann

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

The addition of nonlinearity to an harmonic resonator provides a route to complex dynamical behaviour of resonant modes, including coupling between them. We present a superconducting device that makes use of the nonlinearity of Josephson…

Quantum Physics · Physics 2014-02-10 G. Tancredi , G. Ithier , P. J. Meeson

In this article, we present an experimental study of a Josephson junction -based high-impedance resonator. By taking the resonator to the limit of consisting effectively only of one junction, results in strong non-linear effects already for…

Quantum Physics · Physics 2025-03-11 S. Andersson , H. Havir , A. Ranni , S. Haldar , V. F. Maisi

Josephson meta-materials have recently emerged as very promising platform for superconducting quantum science and technologies. Their distinguishing potential resides in ability to engineer them at sub-wavelength scales, which allows…

We investigate the behavior of a quantum resonator coupled to a superconducting single-electron transistor tuned to the Josephson quasiparticle resonance and show that the dynamics is similar in many ways to that found in a micromaser.…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. A. Rodrigues , J. Imbers , A. D. Armour

In this article we present an experimental study of microwave resonators made out of Josephson junctions. The junctions are embedded in a transmission line geometry so that they increase the inductance per length for the line. By comparing…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Antti Ranni , Harald Havir , Subhomoy Haldar , Ville F. Maisi

Strong nonlinear coupling of superconducting qubits and/or photons is a critical building block for quantum information processing. Due to the perturbative nature of the Josephson nonlinearity, linear coupling is often used in the…

Quantum Physics · Physics 2021-08-04 Yufeng Ye , Kaidong Peng , Mahdi Naghiloo , Gregory Cunningham , Kevin P. O'Brien

Dissipationless nonlinearities for three-wave mixing are a key component of many superconducting quantum devices, such as amplifiers and bosonic qubits. So far, such third-order nonlinearities have been primarily achieved with circuits of…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Constantin Schrade , Valla Fatemi

We consider the finite-frequency response of multiterminal Josephson junctions and show how non-reciprocity in them can show up at linear response, in contrast to the static Josephson diodes featuring non-linear non-reciprocity. At finite…

Superconductivity · Physics 2024-01-24 Pauli Virtanen , Tero T. Heikkilä

We present a method to identify the coupled, normal modes of a superconducting transmission-line with an embedded lumped element circuit. We evaluate the effective transmission-line non-linearities in the case of Kerr-like Josephson…

Quantum Physics · Physics 2016-11-15 Henrik Lund Mortensen , Klaus Mølmer , Christian Kraglund Andersen

Arrays of circuit cavities offer fascinating perspectives for exploring quantum many-body systems in a driven dissipative regime where excitation losses are continuously compensated by coherent input drives. Here we investigate a system…

Quantum Physics · Physics 2014-03-06 Robert Jirschik , Michael J. Hartmann

We report the parametric amplification of a microwave signal in a Kerr medium formed from superconducting qubits. Two mutually coupled flux qubits, embedded in the current antinode of a superconducting coplanar waveguide resonator, are used…

Superconductivity · Physics 2015-06-18 M. Rehak , P. Neilinger , M. Grajcar , G. Oelsner , U. Hubner , E. Ilichev , H. -G. Meyer

We propose a scheme for implementing cross Kerr nonlinearity between two superconducting transmission line resonators (TLR) via their interaction with a coupler which is constructed by two superconducting charge qubits connected to each…

Quantum Physics · Physics 2015-05-20 Yong Hu , Guo-Qin Ge , Shi Chen , Xiao-Fei Yang , You-Ling Chen

We present a detailed experimental and theoretical analysis of the dispersion and non-linear Kerr frequency shifts of plasma modes in a one-dimensional Josephson junction chain containing 500 SQUIDs in the regime of weak nonlinearity. The…

Single-photon devices at microwave frequencies are important for applications in quantum information processing and communication in the microwave regime. In this work, we describe a proposal of a multi-output single-photon device. We…

Quantum Physics · Physics 2016-12-30 Xin Wang , Adam Miranowicz , Hong-Rong Li , Franco Nori

Nonlinear effects in microresonators are efficient building blocks for all-optical computing and telecom systems. With the latest advances in microfabrication, coupled microresonators are used in a rapidly growing number of applications. In…

Photon-pressure coupling between two superconducting circuits is a promising platform for investigating radiation-pressure coupling in novel parameter regimes and for the development of radio-frequency (RF) quantum photonics and…

Quantum Physics · Physics 2022-12-08 Ines C. Rodrigues , Gary A. Steele , Daniel Bothner

Josephson-junction based parametric amplifiers have become a ubiquitous component in superconducting quantum machines. Although parametric amplifiers regularly achieve near-quantum limited performance, they have many limitations, including…

Quantum Physics · Physics 2020-05-06 T. -C. Chien , O. Lanes , C. Liu , X. Cao , P. Lu , S. Motz , G. Liu , D. Pekker , M. Hatridge

Coupling an isolated emitter to a single mode of the electromagnetic field is now routinely achieved and well understood. Current efforts aim to explore the coherent dynamics of emitters coupled to several electromagnetic modes (EM).…

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