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An approach to stabilization of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers.…

Optimization and Control · Mathematics 2009-01-20 Viktor Ten

Emerging in the 1950s, the multiband superconductivity has been considered for a long time as an approximate model in the form of a generalization of the BCS theory to the case of two bands for a more accurate quantitative description of…

Superconductivity · Physics 2017-12-05 Y. Yerin , A. N. Omelyanchouk

The standard phenomenological Hamiltonian of a small superconducting Josephson junction in the charge regime (Cooper Pair Box) produces a model of the effective charge qubit with possible applications to quantum information processing. In…

Quantum Physics · Physics 2010-04-29 Robert Alicki

Quasiperiodic systems offer an appealing intermediate between long-range ordered and genuine disordered systems, with unusual critical properties. One-dimensional models that break the so-called self-dual symmetry usually display a mobility…

Quantum Gases · Physics 2022-04-26 Hepeng Yao , Alice Khoudli , Léa Bresque , Laurent Sanchez-Palencia

Superconducting metamaterials comprising rf SQUIDs (Superconducting QUantum Interference Devices) have been recently realized and investigated with respect to their tuneability, permeability and dynamic multistability properties. These…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 G. P. Tsironis , N. Lazarides , I. Margaris

Quantum dynamics of in-plane Josephson junctions between two d-wave superconducting films is described by the anisotropic XY-model where both, quasiparticle and Cooper pair tunneling terms, appear to be equally non-local. Applying a…

Other Condensed Matter · Physics 2009-11-11 D. V. Khveshchenko

We demonstrate the Josephson effect in a serial double quantum dot defined in a nanowire with epitaxial superconducting leads. The supercurrent stability diagram adopts a honeycomb pattern with electron-hole and left-right reflection…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 J. C. Estrada Saldaña , A. Vekris , G. Steffensen , R. Žitko , P. Krogstrup , J. Paaske , K. Grove-Rasmussen , J. Nygård

It is well established that superconductivity is based on a coherent quantum state of Cooper pairs with charge 2e, and this is equally true of the Josephson effect. In contrast, Kadin recently presented an alternative real-space model of…

Superconductivity · Physics 2010-08-02 Alan M. Kadin

The multichannel generalization of the theory of spectral, scattering and decay control is presented. New universal algorithms of construction of complex quantum systems with given properties are suggested. Particularly, transformations of…

Quantum Physics · Physics 2009-11-07 V. M. Chabanov , B. N. Zakhariev , I. V. Amirkhanov

Topology, like symmetry, is a fundamental concept in understanding general properties of physical systems. In condensed matter, nontrivial topology may manifest itself as singular features in the energy spectrum or the quantization of…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 L. Peyruchat , R. H. Rodriguez , J. -L. Smirr , R. Leone , Ç. Ö. Girit

Micron-sized superconducting interference devices ($\mu$-SQUIDs) based on constrictions optimized for minimizing thermal runaway are shown to exhibit voltage oscillations with applied magnetic flux despite their hysteretic behavior. We…

Superconductivity · Physics 2018-11-28 Sourav Biswas , Clemens B. Winkelmann , Hervé Courtois , Anjan K. Gupta

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko

Recently, a new theory of superconductivity has been put forward that attributes the origin of superconductivity to the appearance of a non-trivial Berry connection from many-electron wave functions. This theory reproduces the major results…

Superconductivity · Physics 2024-03-14 Hiroyasu Koizumi

Catastrophic transitions, where a system shifts abruptly between alternate steady states, are a generic feature of many nonlinear systems. Recently these regime shift were suggested as the mechanism underlies many ecological catastrophes,…

Populations and Evolution · Quantitative Biology 2015-06-11 Haim Weissmann , Nadav M. Shnerb

We consider a one-dimensional Josephson junction array, in the regime where the junction charging energy is much greater than the charging energy of the superconducting islands. In this regime we critically reexamine the continuum limit…

Superconductivity · Physics 2009-11-10 V. Gurarie , A. M. Tsvelik

A model for describing interference and diffraction of wave functions of one-dimensional Josephson array interferometers is presented. The derived expression for critical current modulations accounts for an arbitrary number of square…

Superconductivity · Physics 2020-05-14 M. Lucci , V. Merlo , I. Ottaviani , M. Cirillo , D. Badoni , V. Campanari , G. Salina , J. G. Caputo , L. Loukitch

We carry out an extensive experimental and theoretical study of the Josephson effect in S-N-S junctions made of a diffusive normal metal (N) embedded between two superconducting electrodes (S). Our experiments are performed on Nb-Cu-Nb…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. Dubos , H. Courtois , B. Pannetier , F. K. Wilhelm , A. D. Zaikin , G. Schon

A new type of a superconducting quantum interference device (SQUID) based on a single superconducting loop without Josephson junctions and with asymmetric link-up of current leads is proposed. This SQUID offers advantages in simplicity of…

Superconductivity · Physics 2015-06-19 A. A. Burlakov , V. L. Gurtovoi , A. I. Ilin , A. V. Nikulov , V. A. Tulin

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

Conductivity mechanism in the regime of the intrinsic Josephson effect in layered superconductors with singlet d-wave pairing is studied theoretically. The cases of coherent and incoherent interlayer tunneling of electrons are considered.…

Superconductivity · Physics 2007-05-23 S. N. Artemenko
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