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We review recent theoretical and experimental progress in quantum state engineering with Josephson junction devices. The concepts of quantum computing have stimulated an increased activity in the field. Either charges or phases (fluxes) of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

A report of numerical experiment results on long Josephson junction with one and two rectangular inhomogeneities in the barrier layer is presented. In case of one inhomogeneity we demonstrate the existence of the asymmetric fluxon states.…

Superconductivity · Physics 2009-11-11 O. Yu. Andreeva , T. L. Boyadjiev , Yu. M. Shukrinov

We performed numerical simulations and experiments on Josephson vortex flow transistors based on parallel arrays of YBa2Cu3O(7-x) grain boundary junctions with a cross gate-line allowing to operate the same devices in two different modes…

Superconductivity · Physics 2009-11-07 J. Schuler , S. Weiss , T. Bauch , A. Marx , D. Koelle , R. Gross

We observed splitting of the low-bias vortex-flow branch in a dense-Josephson-vortex state into multiple sub-branches in current-voltage characteristics of intrinsic Josephson junctions (IJJs) of Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ single…

Superconductivity · Physics 2009-11-10 Myung-Ho Bae , Hu-Jong Lee

A vortex solid with self-generated randomness is found theoretically in a frustrated Josephson junction array (JJA) under external magnetic field with anisotropic couplings. Vorticies induced by external magnetic field develop stripes…

Statistical Mechanics · Physics 2015-05-18 Hajime Yoshino , Tomoaki Nogawa , Bongsoo Kim

The dynamical response of triangular JJA is investigated using the RCSJ model. A flux flow regime is found to extend between a lower vortex-depinning current and a higher critical current, in agreement with previous calculations for square…

Condensed Matter · Physics 2007-05-23 Wenbin , David G. Stroud

Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio…

Superconductivity · Physics 2025-04-10 Zhuo Chen , Jiangxu Li , Lun-Hui Hu , Zhen Bi , Rui-Xing Zhang

We study the dynamics of current-biased Josephson-junction arrays with a magnetic penetration depth smaller than the lattice spacing. We compare the dynamics imaged by low-temperature scanning electron microscopy to the vortex dynamics…

In order to clarify the ``superradiant'' conditions for the moving Josephson vortices to excite in-phase AC electromagnetic fields over all junctions, we perform large scale simulations of realistic dimensions for intrinsic Josephson…

Superconductivity · Physics 2009-10-31 M. Machida , T. Koyama , A. Tanaka , M. Tachiki

We describe the design for a scalable, solid-state quantum-information-processing architecture based on the integration of GHz-frequency nanomechanical resonators with Josephson tunnel junctions, which has the potential for demonstrating a…

Quantum Physics · Physics 2009-11-10 Michael R. Geller , Andrew N. Cleland

Understanding the nature of vortices in type-II superconductors is crucial for comprehending exotic superconductors and advancing the application of superconducting materials in future electronic devices. This study uses spectroscopic…

In this work, we derive an analytical procedure for obtaining a multidimensional washboard ratchet potential Uf for two-dimensional Josephson junctions array (TDJJA) with an applied magnetic field. The magnetic field is given in units of…

Dynamical Systems · Mathematics 2016-11-04 Rafael Rangel , Marcos Negruz

We derive an approximate analytic solution for a single fluxon in a double stacked Josephson junctions (SJJ's) for arbitrary junction parameters and coupling strengths. It is shown that the fluxon in a double SJJ's can be characterized by…

Superconductivity · Physics 2009-10-31 V. M. Krasnov

Several physical realizations of quantum bits have been proposed. Of those, nano-electronic devices appear most suitable for large-scale integration and potential applications. We suggest to use low-capacitance Josephson junctions,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

Josephson junctions have been shown to be a promising solid-state system for implementation of quantum computation. The significant two-qubit gates are generally realized by the capacitive coupling between the nearest neighbour qubits. We…

Quantum Physics · Physics 2009-11-10 Shi-Liang Zhu , Z. D. Wang , Kaiyu Yang

Superconductivity provides a canonical example of a quantum phase of matter. When superconducting islands are connected by Josephson junctions in a lattice, the low temperature state of the system can map to the celebrated XY model and its…

Quantum Physics · Physics 2018-08-29 R. Cosmic , Hiroki Ikegami , Zhirong Lin , Kunihiro Inomata , Jacob M. Taylor , Yasunobu Nakamura

We have investigated the static properties of one-dimensional planar Josephson tunnel junctions in the most general case of elliptic annuli. We have analyzed the dependence of the critical current in the presence of an external magnetic…

Superconductivity · Physics 2015-11-05 Roberto Monaco , Carmine Granata , Antonio Vettoliere , Jesper Mygind

The quantum dynamics of a two-state system (qubit) can be governed by means of external control parameters present in time-dependent bias pulses of special forms. We consider the class of biases for which the time evolution equation without…

A numerical simulation is carried out for static vortices in a long Josephson junction with an exponentially varying width. At specified values of the parameters the corresponding boundary-value problem admits more than one solution. Each…

Superconductivity · Physics 2007-05-23 E. G. Semerdzhieva , T. L. Boyadzhiev , Yu. M. Shukrinov

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