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We study the breakpoint region on the outermost branch of current-voltage characteristics of the stacks with different number of intrinsic Josephson junctions. We show that at periodic boundary conditions the breakpoint region is absent for…

Superconductivity · Physics 2015-06-25 Yu. M. Shukrinov , F. Mahfouzi , N. F. Pedersen

A microscopic theory for the coupling of intrinsic Josephson oscillations due to charge fluctuations on the quasi two-dimensional superconducting layers is presented. Thereby in close analogy to the normal state the effect of the scalar…

Superconductivity · Physics 2009-10-31 Ch. Helm , J. Keller , Ch. Preis , A. Sergeev

The Josephson junction is a building block of quantum circuits. Its behavior, well understood when treated as an isolated entity, is strongly affected by coupling to an electromagnetic environment. In 1983, Schmid predicted that a Josephson…

We review our previous work on the dynamics of one- and two-dimensional arrays of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving…

Superconductivity · Physics 2007-05-23 E. Almaas , D. Stroud

I derive simple non-local dynamic boundary conditions, suitable for modelling of radiation emission from stacked Josephson junctions, and employ them for analysis of flux-flow emission from intrinsic Josephson junctions in high-$T_c$…

Superconductivity · Physics 2010-10-29 V. M. Krasnov

We analyze nonperturbatively the behavior of a Josephson junction in which two BCS superconductors are coupled through an Anderson impurity. We recover earlier perturbative results which found that a $\delta=\pi$ phase difference is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Rozhkov , Daniel P. Arovas

By coupling a quantum detector, a superconductor-insulator-superconductor junction, to a Josephson junction \textit{via} a resonant circuit we probe the high frequency properties, namely the ac complex admittance and the current…

Mesoscale and Nanoscale Physics · Physics 2012-03-02 Julien Basset , Hélène Bouchiat , Richard Deblock

We investigate Josephson junctions with superconducting ferropnictides, both in the diffusive and ballistic limit. We focus on the proposed $s_\pm$-wave state, and find that the relative phase shift intrinsic to the $s_\pm$-wave state may…

Superconductivity · Physics 2009-07-03 Jacob Linder , Iver B. Sperstad , Asle Sudbø

The zero-voltage state of a Josephson junction biased with constant current consists of a set of metastable quantum energy levels. We probe the spacings of these levels by using microwave spectroscopy to enhance the escape rate to the…

Quantum Physics · Physics 2009-11-10 A. J. Berkley , H. Xu , M. A. Gubrud , R. C. Ramos , J. R. Anderson , C. J. Lobb , F. C. Wellstood

Charge formations on superconducting layers and creation of the longitudinal plasma wave in the stack of intrinsic Josephson junctions change crucially the superconducting current through the stack. Investigation of the correlations of…

Superconductivity · Physics 2009-04-22 Yu. M. Shukrinov , M. Hamdipour , M. R. Kolahchi

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

The recently reported subgap structures observed in the current-voltage characteristic of intrinsic Josephson junctions in the high-T_c superconductors Tl_2Ba_2Ca_2Cu_3O_{10+\delta} and Bi_2Sr_2CaCu_2O_{8+\delta} are explained by the…

Superconductivity · Physics 2009-10-30 Ch. Helm , Ch. Preis , F. Forsthofer , J. Keller , K. Schlenga , R. Kleiner , P. Mueller

Bias lines routed over a ground plane naturally form microstrip lines associated with the presence of a capacitance. This can lead to unwanted resonances when coupled to Josephson junctions. This work presents an electrical model of a…

Applied Physics · Physics 2023-07-19 Ugur Yilmaz , Sasan Razmkhah , Romain Collot , Juergen Kunert , Ronny Stolz , Pascal Febvre

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative…

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

We analyze the quantum dynamics of a superconducting cavity coupled to a voltage biased Josephson junction. The cavity is strongly excited at resonances where the voltage energy lost by a Cooper pair traversing the circuit is a multiple of…

Mesoscale and Nanoscale Physics · Physics 2013-12-12 A. D. Armour , M. P. Blencowe , E. Brahimi , A. J. Rimberg

We consider a spatially non-autonomous discrete sine-Gordon equation with constant forcing and its continuum limit(s) to model a 0-$\pi$ Josephson junction with an applied bias current. The continuum limits correspond to the strong coupling…

Pattern Formation and Solitons · Physics 2008-01-23 G. Derks , A. Doelman , S. A. van Gils , H. Susanto

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

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

We consider the inverse problem of designing an array of superconducting Josephson junctions that has a given maximum static current pattern as function of the applied magnetic field. Such devices are used for magnetometry and as Terahertz…

Superconductivity · Physics 2009-11-13 J. G. Caputo , L. Loukitch

The powerful terahertz emission from intrinsic Josephson junctions in high-Tc cuprate superconductors has been detected recently. The synchronization of different junctions is enhanced by excitation of the geometrical cavity resonance. A…

Superconductivity · Physics 2013-06-19 Shi-Zeng Lin , Alexei E. Koshelev