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We calculate the thermodynamic properties of a collection of $N$ small Josephson junctions coupled to a single-mode resonant electromagnetic cavity, at finite temperature $T$, using several approaches. In the first approach, we include all…

Superconductivity · Physics 2009-11-13 Kohjiro Kobayashi , David Stroud

We investigate the static properties of 0-$\pi$ Josephson junctions, with particular emphasis on their application in superconducting quantum circuits. Using a theoretical framework based on the sine-Gordon equation, we analyze the phase…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 N. Stefanakis

The interplay between novel topological states and superconductivity has garnered substantial interest due to its potential for topological quantum computing. The Josephson effect serves as a useful probe for edge superconductivity in these…

Superconductivity · Physics 2024-11-12 Junjie Qi , Chui-Zhen Chen , Juntao Song , Jie Liu , Ke He , Qing-Feng Sun , X. C. Xie

We studied current-voltage characteristics of long one dimensional Josephson junction chains with Josephson energy much larger than charging energy, $E_J \gg E_C$. In this regime, typical IV curves of the samples consist of a supercurrent…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Adem Ergül , Jack Lidmar , Jan Johansson , David Schaeffer , Magnus Lindblom , David B. Haviland

Interference of standing waves in electromagnetic resonators forms the basis of many technologies, from telecommunications and spectroscopy to detection of gravitational waves. However, unlike the confinement of light waves in vacuum, the…

We present results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions. We include the ultrasmall self and mutual capacitances of the junctions, for the same…

Superconductivity · Physics 2016-08-15 Cristian Rojas , Jorge V. José

We have investigated the current-voltage characteristics (IVCs) of intrinsic Josephson junctions (IJJs). Recently, it is predicted that the longitudinal plasma wave can be excited by the parametric resonance in IJJs. Such an excitation…

Superconductivity · Physics 2009-11-13 A. Irie , Yu. M. Shukrinov , G. Oya

We carry out a quantum-mechanical analysis of a small Josephson junction coupled to a single-mode resonant cavity. We find that the eigenstates of the combined junction-cavity system are strongly entangled only when the gate voltage applied…

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

Superconducting quantum circuits based on Josephson junctions have made rapid progress in demonstrating quantum behavior and scalability. However, the future prospects ultimately depend upon the intrinsic coherence of Josephson junctions,…

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

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 investigate the dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This…

Quantum Gases · Physics 2021-06-18 F. Binanti , K. Furutani , L. Salasnich

We derive dynamical equations for a Josephson array coupled to a resonant cavity by applying the Heisenberg equations of motion to a model Hamiltonian described by us earlier [Phys. Rev. B {\bf 63}, 144522 (2001); Phys. Rev. B {\bf 64},…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

We study different architectures for a photonic crystal in the microwave regime based on superconducting transmission lines interrupted by Josephson junctions, both in one and two dimensions. A study of the scattering properties of a single…

Quantum Physics · Physics 2012-07-13 David Zueco , Juan José Mazo , Enrique Solano , Juan José García-Ripoll

Josephson junctions supply the nonlinear inductance element in superconducting qubits. In the widely used transmon configuration, where the junction is shunted by a large capacitor, the low charging energy minimizes the sensitivity of the…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Maxwell Wisne , Yanpei Deng , Hilal Cansizoglu , Cameron Kopas , Josh Mutus , Venkat Chandrasekhar

A new type of instability - electrokinetic instability - and an unusual transition to chaotic motion near a charge-selective surface was studied by numerical integration of the Nernst-Planck-Poisson-Stokes system and a weakly nonlinear…

Fluid Dynamics · Physics 2014-02-17 E. A. Demekhin , N. V. Nikitin , V. S. Shelistov

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we…

Condensed Matter · Physics 2009-10-22 W. Krech , K. Yu. Platov

We investigate the response of a stack of intrinsic Josephson junctions (IJJs) to terahertz (THz) electromagnetic (EM) irradiation. A significant amplification of the EM wave can be achieved by the IJJs stack when the incident frequency…

Superconductivity · Physics 2010-07-13 Shi-Zeng Lin , Xiao Hu

We analyze consequences of dynamical modulations of Josephson current by non-polar lattice mode in the Josephson junction barrier. In the high $T_c$ junctions, the effect of such modulations can be anomalously strong due to the proximity of…

Superconductivity · Physics 2009-11-07 A. B. Kuklov , V. S. Boyko

A quantum mechanical analysis of the Josephson phase escape in the presence of both dc and ac bias currents is presented. We find that the potential barrier for the escape of the phase is effectively suppressed as the resonant condition…

Superconductivity · Physics 2009-11-10 M. V. Fistul , A. Wallraff , A. V. Ustinov
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