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We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this…

Pattern Formation and Solitons · Physics 2018-02-07 Denis S. Goldobin , Lyudmila S. Klimenko

Motivated by recent experiments on superconducting circuits consisting of a dc-voltage biased Josephson junction in series with a resonator, quantum properties of these devices far from equilibrium are studied. This includes a crossover…

Mesoscale and Nanoscale Physics · Physics 2013-12-23 Vera Gramich , Björn Kubala , Selina Rohrer , Joachim Ankerhold

We explore the dissipative dynamics of nonlinearly driven oscillator systems tuned to resonances where multiple excitations are generated. Such systems are readily realised in circuit QED systems combining Josephson junctions with a…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Ben Lang , Andrew D. Armour

We performed a novel phase sensitive microwave reflection experiment which directly probes the dynamics of the Josephson plasma resonance in both the linear and non-linear regime. When the junction was driven below the plasma frequency into…

We study theoretically dynamics in a Josephson junction coupled to a mechanical resonator looking at the signatures of the resonance in d.c. electrical response of the junction. Such a system can be realized experimentally as a suspended…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 C. Padurariu , C. J. H. Keijzers , Yu. V. Nazarov

A Josephson junction embedded in a dissipative circuit can be externally driven to induce nonlinear dynamics of its phase. Classically, under sufficiently strong driving and weak damping, dynamic multi-stability emerges associated with…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

We consider a two-dimensional fully frustrated Josephson-junction array, which is driven uniformly by oscillating currents. As the temperature is lowered, there emerges a dynamic phase transition to an ordered state with nonzero dynamic…

Condensed Matter · Physics 2009-11-07 Gun Sang Jeon , Jong Soo Lim , Hyun Jin Kim , M. Y. Choi

Superconductivity is a result of quantum coherence at macroscopic scales. Two superconductors separated by a metallic or insulating weak link exhibit the AC Josephson effect - the conversion of a DC voltage bias into an AC supercurrent.…

Superconductivity · Physics 2018-01-31 Thomas McDermott , Hai-Yao Deng , Andreas Isacsson , Eros Mariani

We study the classical dynamics of an axion field (the signal) that is coupling into a Josephson junction (the detector) by means of a capacitive coupling of arbitrary size. Depending on the size of the coupling constant and the initial…

Chaotic Dynamics · Physics 2018-08-30 Jin Yan , Christian Beck

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

In circuit quantum electrodynamical systems, the quasiparticle-related losses in Josephson junctions are suppressed due to the gap in the superconducting density of states which is much higher than the typical energy of a microwave photon.…

Quantum Physics · Physics 2025-10-08 Vasilii Vadimov , Yoshiki Sunada , Mikko Möttönen

The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing,…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

We demonstrate the manifestations of the nonlinear features in magnetic dynamics and IV-characteristics of the $\varphi_0$ Josephson junction in the ferromagnetic resonance region. We show that at small values of system parameters, namely,…

In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under…

Dynamical Systems · Mathematics 2017-07-04 D. G. Aronson

While Josephson junctions can be viewed as highly non-linear impedances for superconducting quantum technologies, they also possess internal dynamics that may strongly affect their behavior. Here, we construct a computational framework that…

Superconductivity · Physics 2019-05-29 Benoit Rossignol , Thomas Kloss , Xavier Waintal

We investigate resonance phenomena in a system consisting of a nanomagnet coupled to a Josephson junction under external periodic drive. The coupling in the system leads to appearance of additional resonance peaks whose properties depend on…

Superconductivity · Physics 2025-07-14 K. V. Kulikov , D. V. Anghel , M. Nashaat , M. Dolineanu , M. Sameh , Yu. M. Shukrinov

The Josephson equations predict remarkable effects concerning the phase state of a superconducting junction with an oscillating current induced by a static voltage. Whether the paradigm can be twisted by yielding an oscillating voltage…

Superconductivity · Physics 2022-04-05 Claudio Guarcello , Luca Chirolli , Maria Teresa Mercaldo , Francesco Giazotto , Mario Cuoco

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 an analytical and computational study of resonances and transient responses in a classical Josephson junction system. A theoretical basis for resonances in a superconducting loop with three junctions is presented, outlining both…

Superconductivity · Physics 2009-03-20 Jeffrey E. Marchese , Matteo Cirillo , Niels Grønbech-Jensen

The response of nonlinear resonators to multifrequency driving reveals rich dynamics beyond conventional single-tone theory. We study a Duffing resonator under bichromatic excitation and identify a competition between the two drives,…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Soumya S. Kumar , Javier del Pino , Letizia Catalini , Alexander Eichler , Oded Zilberberg
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