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Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

We study the dynamics of a driven atomic Josephson junction that we propose as a parametric amplifier. By periodically modulating the position of the barrier, we induce a small current across the junction, serving as our input signal. The…

Quantum Gases · Physics 2026-05-29 Vijay Pal Singh , Luigi Amico , Ludwig Mathey

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 demonstrate that the well known phase-locking mechanism leading to Shapiro steps in ac-driven Josephson junctions is always accompanied by a higher order phase-locking mechanism similar to that of the parametrically driven pendulum. This…

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 report an emergent ac Josephson-like effect arising without external bias, driven by the interplay between nonreciprocity and nonlinearity in coupled condensates. Using a minimal model of three mutually nonreciprocally coupled…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Ji Zou , Valerii K. Kozin , Daniel Loss , Jelena Klinovaja

We have numerically and analytically studied ac+dc driven Josephson-junction arrays with a single vortex or with a single vortex-antivortex pair present. We find single-vortex steps in the voltage versus current characteristics (I-V) of the…

Superconductivity · Physics 2016-08-15 P. H. E. Tiesinga , T. J. Hagenaars , J. E. van Himbergen , Jorge V. José

Atomtronic quantum sensors based on trapped superfluids offer a promising platform for high-precision inertial measurements where the dynamics of quantized vortices can serve as sensitive probes of external forces. We analytically…

Quantum Gases · Physics 2026-05-12 A. Chaika , A. O. Oliinyk , I. V. Yatsuta , M. Edwards , N. P. Proukakis , T. Bland , A. I. Yakimenko

Three-dimensional topological Dirac semimetals have recently gained significant attention, since they possess exotic quantum states. When constructing Josephson junctions utilizing these materials as the weak link, the fractional ac…

Recent experiments on planar superconductor-topological insulator-superconductor (S-TI-S) junctions, e.g., in Corbino geometry, have reported low-temperature nonzero Josephson currents in states with integer fluxoid (flux) induced in the…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Kiryl Piasotski , Omri Lesser , Adrian Reich , Pavel Ostrovsky , Eytan Grosfeld , Yuriy Makhlin , Yuval Oreg , Alexander Shnirman

We study the dynamics of Josephson junction arrays with positional disorder and driven by an external current. We consider weak magnetic fields, corresponding to a frustration $f=n+1/25$ with $n$ integer. We find that above the critical…

Condensed Matter · Physics 2009-10-28 Daniel Dominguez

Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may not produce an unpaired fermion with…

Superconductivity · Physics 2019-02-13 C. W. J. Beenakker , A. Grabsch , Y. Herasymenko

The Josephson vortex formed in a superconductor-insulator-superconductor (SIS) junction can affect the quantum mechanics of quasiparticles by creating an effective adiabatic potential determined by the inhomogeneous distribution of the…

Superconductivity · Physics 2023-01-31 Vadim Plastovets , A. S. Mel'nikov

We show the emergence of reaction hotspots induced by three-dimensional (3D) vortices with a simple $A+B \rightarrow C$ reaction. We conduct microfluidics experiments to visualize the spatial map of the reaction rate with the…

Fluid Dynamics · Physics 2020-04-15 Sang H. Lee , Peter K. Kang

Atomtronics has the potential for engineering new types of functional devices, such as Josephson junctions (JJs). Previous studies have mainly focused on JJs whose ground states have 0 or $\pi $ superconducting phase difference across the…

Quantum Gases · Physics 2016-10-19 Lei Jiang , Yong Xu , Chuanwei Zhang

Experiments indicating the excitation of whispering gallery type electromagnetic modes by a vortex moving in an annular Josephson junction are reported. At relativistic velocities the Josephson vortex interacts with the modes of the…

Superconductivity · Physics 2009-10-31 A. Wallraff , A. V. Ustinov , V. V. Kurin , I. A. Shereshevsky , N. K. Vdovicheva

Bloch oscillations in a single Josephson junction in the phase-slip regime relate current to frequency. They can be measured by applying a periodic drive to a DC-biased, small Josephson junction. Phase-locking between the periodic drive and…

Mesoscale and Nanoscale Physics · Physics 2018-08-08 Lisa Arndt , Ananda Roy , Fabian Hassler

We investigate theoretically the dynamics of a Josephson junction in the framework of the RSJ model. We consider a junction that hosts two supercurrrent contributions: a $2\pi$- and a $4\pi$-periodic in phase, with intensities $I_{2\pi}$…

We consider a two-dimensional array of ultra-small superconducting grains, weakly coupled by Josephson junctions with large charging energy. We start from an effective action based on a microscopic tunneling Hamiltonian, which includes…

Superconductivity · Physics 2009-10-30 Mahn-Soo Choi , Sung-Ik Lee , M. Y. Choi

In the frame of an exactly solvable model we calculate electric and magnetic fields created by uniformly moving lattice of Josephson vortices driven by the transport current in the magnetic field parallel to conducting layers. The…

Superconductivity · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov
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