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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

We present the Josephson junction intersected superconducting transmission line resonator. In contrast to the Josephson parametric amplifier, Josephson bifurcation amplifier and Josephson parametric converter we consider the regime of few…

Quantum Physics · Physics 2013-04-04 Martin Leib , Michael J. Hartmann

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 present an experimental and theoretical analysis of the self- and cross-Kerr effect of extended plasma resonances in Josephson junction chains. We calculate the Kerr coefficients by deriving and diagonalizing the Hamiltonian of a linear…

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

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

Motivated by recent "circuit QED" experiments we investigate the noise properties of coherently driven nonlinear resonators. By using Josephson junctions in superconducting circuits, strong nonlinearities can be engineered, which lead to…

Mesoscale and Nanoscale Physics · Physics 2012-05-25 Stephan André , Lingzhen Guo , Vittorio Peano , Michael Marthaler , Gerd Schön

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…

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

Nearly quantum limited Josephson parametric amplifiers (JPAs) are essential components in superconducting quantum circuits. However, higher order nonlinearities of the Josephson cosine potential are known to cause gain compression,…

Quantum Physics · Physics 2024-08-19 Z. Hao , T. Shaw , M. Hatefipour , W. M. Strickland , B. H. Elfeky , D. Langone , J. Shabani , S. Shankar

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

Microwave parametric amplifiers based on Josephson junctions have become a key component of many quantum information experiments. One key limitation which has not been well predicted by theory is the gain saturation behavior which…

Quantum Physics · Physics 2017-12-06 G. Liu , T. -C. Chien , X. Cao , O. Lanes , E. Alpern , D. Pekker , M. Hatridge

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

We propose a scheme for enhancing the optomechanical coupling between microwave and mechanical resonators by up to seven orders of magnitude to the ultrastrong coupling limit in a circuit optomechanical setting. The tripartite system…

Quantum Physics · Physics 2020-12-21 Mohammad Tasnimul Haque , Juuso Manninen , David Vitali , Pertti Hakonen

This paper applies recent results on the robust stability of nonlinear quantum systems to the case of a Josephson junction in a resonant cavity. The Josephson junction is characterized by a Hamiltonian operator which contains a…

Quantum Physics · Physics 2016-11-15 Ian R. Petersen

Josephson junctions form the essential non-linearity for almost all superconducting qubits. The junction is formed when two superconducting electrodes come within $\sim$1 nm of each other. Although the capacitance of these electrodes is a…

We report on the microwave characterization of a novel one-dimensional Josephson metamaterial composed of a chain of asymmetric superconducting quantum interference devices (SQUIDs) with nearest-neighbor coupling through common Josephson…

Superconductivity · Physics 2017-11-22 Wenyuan Zhang , W. Huang , M. E. Gershenson , M. T. Bell

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 study a recently demonstrated design for a high-performance tunable coupler suitable for superconducting Xmon and planar transmon qubits [Y. Chen et al., arXiv:1402.7367]. The coupler circuit uses a single flux-biased Josephson junction…

Quantum Physics · Physics 2015-09-17 Michael R. Geller , Emmanuel Donate , Yu Chen , Charles Neill , Pedram Roushan , John M. Martinis

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
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