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This article presents the phase dynamics of an inline long Josephson junction in voltage state under the influence of constant external magnetic field. Fractional calculus approach is used to model the evolution of the phase difference…

Numerical Analysis · Mathematics 2018-11-15 Amer Rasheed , Imtiaz Ali

By coupling a harmonic oscillator to a quantum system it is possible to perform a dispersive measurement that is quantum non-demolition (QND), with minimal backaction. A non-linear oscillator has the advantage of measurement gain, but what…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 O. Naaman , J. Aumentado , L. Friedland , J. S. Wurtele , I. Siddiqi

Josephson junctions (JJs) are by nature neuromorphic hardware devices capable of mimicking excitability and spiking dynamics. When coupled together or combined with other superconducting elements, they can emulate additional behaviors found…

Chaotic Dynamics · Physics 2025-03-12 G. Baxevanis , J. Hizanidis

How does the classical phase space structure for a composite system relate to the entanglement characteristics of the corresponding quantum system? We demonstrate how the entanglement in nonlinear bipartite systems can be associated with a…

Quantum Physics · Physics 2009-11-10 Andrew P. Hines , G. J. Milburn , Ross H. McKenzie

Magnetic flux quanta, of value h/2e, in long Josephson junctions behave as (quasi) solitons. Fluxon dynamical states are well described by a perturbed sine-Gordon equation model, with boundary conditions determined by the junction geometry…

patt-sol · Physics 2009-09-25 R. D. Parmentier

We present a theoretical study of coherent quantum dynamics of a single magnetic fluxon (MF) trapped in Josephson junction parallel arrays (JJPAs) with large kinetic inductances. The MF is the topological excitation carrying one quantum of…

Superconductivity · Physics 2021-06-16 S. S. Seidov , M. V. Fistul

We derive a mesoscopic theory of the Josephson junction from non-relativistic scalar electrodynamics. Our theory reproduces the Josephson relations with the canonical current phase relation acquiring a weak second harmonic term, and it…

Quantum Physics · Physics 2025-05-27 Thomas J. Maldonado , Hakan E. Türeci , Alejandro W. Rodriguez

Quantitative analysis of the Josephson effect is shown to provide direct information about phase fluctuations in the superconducting banks. Applying the analysis to the cuprates, substantial quantum fluctuations between d-wave and s-wave…

Superconductivity · Physics 2007-05-23 R. Hlubina , M. Grajcar , J. Mraz

We measure the state dynamics of a tunable anharmonic quantum system, the Josephson phase circuit, under the excitation of a frequency-chirped drive. At small anharmonicity, the state evolves like a wavepacket - a characteristic response in…

We propose to dynamically control the conductivity of a Josephson junction composed of two weakly coupled one dimensional condensates of ultracold atoms. A current is induced by a periodically modulated potential difference between the…

Quantum Gases · Physics 2021-02-10 Beilei Zhu , Vijay Pal Singh , Junichi Okamoto , Ludwig Mathey

In this proposal, we present an experimental setup based on superconducting circuits and Josephson junctions to explore the modification of Josephson coefficient in the presence of external magnetic field due to vacuum polarization of…

Superconductivity · Physics 2017-01-02 Ali Izadi Rad

We propose a model describing the formation of both dual (quantum) and classical Shapiro steps in small Josephson junctions. According to this model, the dual Shapiro steps are formed at relatively low frequency of the microwave signal and…

We analyze the possible quantum correlations between two coupled dimer systems in the presence of independent losses and driven by a fluctuating field. For the case of the interaction being of a Heisenberg exchange type, we first…

Quantum Physics · Physics 2015-05-28 Dimitris G. Angelakis , Stefano Mancini

We study dynamics of a ring of three unidirectionally coupled double-well Duffing oscillators for three different values of the damping coefficient: fixed dumping, proportional to time, and inversely proportional to time. The dynamics in…

Chaotic Dynamics · Physics 2021-08-11 J. J. Barba-Franco , A. Gallegos , R. Jaimes-Reátegui , S. A. Gerasimova , A. N. Pisarchik

Low-capacitance Josephson junction arrays in the parameter range where single charges can be controlled are suggested as possible physical realizations of the elements which have been considered in the context of quantum computers. We…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Alexander Shnirman , Gerd Schoen , Ziv Hermon

Cavity optomechanics represents a flexible platform for the implementation of quantum technologies, useful in particular for the realization of quantum interfaces, quantum sensors and quantum information processing. However, the dispersive,…

Quantum Physics · Physics 2021-08-02 Ahmad Shafiei Aporvari , David Vitali

Josephson junctions translate quantum phase coherence into an electrical response and underpin superconducting sensors and quantum circuits. In conventional junctions, the barrier acts primarily as a passive weak link, however, when the…

We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace. Specifically, we extract the effective Hamiltonians that controls the dynamics of two qubits when they are coupled via a capacitor…

Quantum Physics · Physics 2021-12-03 María Hita-Pérez , Gabriel Jaumà , Manuel Pino , Juan José García-Ripoll

We study the quantum phase transition properties of a three-dimensional periodic array of Josephson junctions with charging energy that includes both the self and mutual junction capacitances. We use the phase fluctuation algebra between…

Superconductivity · Physics 2016-08-31 T. K. Kopec , Jorge V. Jose

The Josephson junction is the fundamental nonlinear building block of superconducting quantum technologies. Its macroscopic quantum tunneling physics underpins superconducting quantum computing, sensing, and communication, but scaling these…