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Motivated by recent experiments, where a voltage biased Josephson junction is placed in series with a resonator, the classical dynamics of the circuit is studied in various domains of parameter space. This problem can be mapped onto the…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 S. Meister , M. Mecklenburg , V. Gramich , J. T. Stockburger , J. Ankerhold , B. Kubala

We show that nonlinear response of a quantum oscillator displays antiresonant dips and resonant peaks with varying frequency of the driving field. The effect is a consequence of special symmetry and is related to resonant multiphoton mixing…

Quantum Physics · Physics 2009-11-11 M. I. Dykman

Intrinsic Josephson-junction stacks realized in high-temperature superconductors provide a very attractive base for developing coherent sources of electromagnetic radiation in the terahertz frequency range. A promising way to synchronize…

Superconductivity · Physics 2011-04-05 A. E. Koshelev

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

We investigate the driven quantum phase transition between the oscillating motion and the classical nearly free rotations of the Josephson pendulum coupled to a harmonic oscillator in the presence of dissipation. We refer to this as the…

Mesoscale and Nanoscale Physics · Physics 2019-06-25 I. Pietikäinen , J. Tuorila , D. S. Golubev , G. S. Paraoanu

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 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 "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 analyze the quantum dynamics of two electromagnetic oscillators coupled in series to a voltage biased Josephson junction. When the applied voltage leads to a Josephson frequency across the junction which matches the sum of the two mode…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 A. D. Armour , Björn Kubala , Joachim Ankerhold

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

Two basic physical models, a two-level system and a harmonic oscillator, are realized on the mesoscopic scale as coupled qubit and resonator. The realistic system includes moreover the electronics for controlling the distance between the…

Mesoscale and Nanoscale Physics · Physics 2012-05-04 S. N. Shevchenko , A. N. Omelyanchouk , E. Il'ichev

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 have studied quantum-mechanically a system of several small identical Josephson junctions in a lossless single-mode cavity for different initial states, under conditions such that the system is at resonance. This system is analogous to a…

Superconductivity · Physics 2009-11-07 W. A. Al-Saidi , D. Stroud

Condensed matter physics has been driven forward by significant experimental and theoretical progress in the study and understanding of equilibrium phase transitions based on symmetry and topology. However, nonequilibrium phase transitions…

Quantum Physics · Physics 2017-02-15 Mattias Fitzpatrick , Neereja M. Sundaresan , Andy C. Y. Li , Jens Koch , A. A. Houck

We study the nonlinear response of a driven cavity QED system in the extreme strong coupling regime where the saturation photon number is below one by many orders of magnitude. In this regime, multi-photon resonances within the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

With an increasing coupling between light and mechanics, nonlinearities begin to play an important role in optomechanics. We solve the quantum dynamics of an optomechanical system in the multi-photon strong coupling regime retaining…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 J. D. P. Machado , Ya. M. Blanter

Measuring the quantum dynamics of a mechanical system, when few phonons are involved, remains a challenge. We show that a superconducting microwave resonator linearly coupled to the mechanical mode constitutes a very powerful probe for this…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 Nicolas Didier , Stefano Pugnetti , Yaroslav M. Blanter , Rosario Fazio

Inelastic Cooper pair tunneling across a voltage-biased Josephson junction in series with one or more microwave cavities can generate photons via resonant processes in which the energy lost by the Cooper pair matches that of the photon(s)…

Mesoscale and Nanoscale Physics · Physics 2021-10-26 Kieran Wood , Andrew D. Armour , Ben Lang

Circuit quantum electrodynamics (QED) has emerged as a promising platform for implementing quantum computation and simulation. Typically, junctions in these systems are of a sufficiently small size, such that only the lowest plasma…

Quantum Physics · Physics 2025-09-22 Andrey Grankin , Alicia J. Kollár , Mohammad Hafezi

Nonlinear Josephson circuits play a crucial role in the growing landscape of quantum information and technologies. The typical circuits studied in this field consist of qubits, whose anharmonicity is much larger than their linewidth, and…

Mesoscale and Nanoscale Physics · Physics 2021-09-06 F. Fani Sani , I. C. Rodrigues , D. Bothner , G. A. Steele
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