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We study the Josephson effect in small one-dimensional (1D) Josephson junction arrays. For weak Josephson tunneling, topologically different regions in the charge-stability diagram generate distinct current-phase relationships (I$\Phi$). We…

Mesoscale and Nanoscale Physics · Physics 2008-08-28 Jens Koch , Karyn Le Hur

We study a junction between two time-reversal-invariant topological superconductors and show this system goes through a series of multiple transitions between a $0$-junction phase, where the free energy has its minimum for a superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-11-01 Arbel Haim

We handle all the self-adjoint extensions of the minimal Schroedinger operator for the non-relativistic electron living in the one-dimensional configuration space with a junction. We are interested in every boundary condition corresponding…

Mathematical Physics · Physics 2013-07-16 Masao Hirokawa , Takuya Kosaka

A new picture of the Josephson effect is devised. The radio-frequency (RF) signal, observed in a Josephson junction, is shown to stem from bound electrons, tunneling periodically through the insulating film. This holds also for the…

Mesoscale and Nanoscale Physics · Physics 2021-10-01 Jacob Szeftel , Nicolas Sandeau , Michel Abou Ghantous

We present a non-equilibrium quasiclassical formalism suitable for studying linear response ac properties of Josephson junctions. The non-equilibrium self-consistency equations are satisfied, to very good accuracy, already in zeroth…

Superconductivity · Physics 2009-11-07 M. H. S. Amin

We present all the possible solutions of a Josephson junction with bias current and magnetic field with both inline and overlap geometry, and examine their stability. We follow the bifurcation of new solutions as we increase the junction…

Superconductivity · Physics 2009-10-31 J. -G. Caputo , N. Flytzanis , Y. Gaididei , N. Stefanakis , E. Vavalis

We consider a 0-$\pi$ Josephson junction consisting of asymmetric 0 and $\pi$ regions of different lengths $L_0$ and $L_\pi$ having different critical current densities $j_{c,0}$ and $j_{c,\pi}$. If both segments are rather short, the whole…

Superconductivity · Physics 2014-11-11 A. Lipman , R. G. Mints , R. Kleiner , D. Koelle , E. Goldobin

We study a new type of Josephson device, the so-called "optical Josephson junction" as proposed in Phys. Rev. Lett. {\bf 95}, 170402 (2005). Two condensates are optically coupled through a waveguide by a pair of Bragg beams. This optical…

Quantum Physics · Physics 2011-08-02 H. T. Ng , K. Burnett , J. A. Dunningham

We report on the first realization of a single bosonic Josephson junction, implemented by two weakly linked Bose-Einstein condensates in a double-well potential. In order to fully investigate the nonlinear tunneling dynamics we measure the…

Other Condensed Matter · Physics 2016-08-31 Michael Albiez , Rudolf Gati , Jonas Foelling , Stefan Hunsmann , Matteo Cristiani , Markus K. Oberthaler

Extended defects are known to strongly affect nanoscale superconductors. Here we report the properties of superconducting nanoribbons with a constriction formed between two adjacent step-edges, by solving the Bogoliubov-de Gennes equations…

Superconductivity · Physics 2018-04-23 L. Flammia , L. -F. Zhang , L. Covaci , A. Perali , M. V. Milošević

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

We critically reexamine the bosonization-debosonization procedure for systems including certain types of localized features (although more general scenarios are possible). By focusing on the case of a tunneling junction out of equilibrium,…

Strongly Correlated Electrons · Physics 2016-03-31 Nayana Shah , C. J. Bolech

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

Zurek has provided simple causal bounds for the onset of phase transitions in condensed matter, that mirror those proposed by Kibble for relativistic quantum field theory. In this paper we show how earlier experiments with annular Josephson…

Condensed Matter · Physics 2007-05-23 Roberto Monaco , Ray Rivers , Eleftheria Kavoussanaki

An instanton method is proposed to investigate the quantum tunneling between two weakly-linked Bose-Einstein condensates confined in double-well potential traps. We point out some intrinsic pathologies in the earlier treatments of other…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Yunbo Zhang , H. J. W. Müller-Kirsten

We analyze the consequences resulting from the asymmetric boundary conditions imposed by a non-uniform external magnetic field at the extremities of a planar Josephson tunnel junction and predict a number of testable signatures. When the…

Superconductivity · Physics 2011-01-11 R. Monaco

We present a model to describe an underdamped long Josephson junction coupled to a singlemode electromagnetic cavity, and carry out numerical calculations using this model in various regimes. The coupling may occur through either the…

Superconductivity · Physics 2009-11-11 Ivan Tornes , David Stroud

We review experiments on small-capacitance Josephson junctions. When the Josephson junction is fabricated in the configuration of dc superconducting quantum interference device (SQUID), the Josephson coupling can be tuned IN SITU with an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michio Watanabe , David B. Haviland

We consider a short Josephson junction with a phase discontinuity $\kappa$ created, e.g., by a pair of tiny current injectors, at some point $x_0$ along the length of the junction. We derive the effective current-phase relation (CPR) for…

Superconductivity · Physics 2016-05-25 E. Goldobin , S. Mironov , A. Buzdin , R. G. Mints , D. Koelle , R. Kleiner

Deep theoretical understanding of the electrical response of Josephson junctions is indispensable regarding both recent discoveries of new kinds of superconductivity and technological advances such as superconducting quantum computers.…

Superconductivity · Physics 2022-03-25 Sang-Jun Choi , Björn Trauzettel