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We propose a new quantization method for superconducting electronic circuits involving a Josephson junction device coupled to a linear microwave environment. The method is based on an exact impedance synthesis of the microwave environment…

Quantum Physics · Physics 2015-06-19 Firat Solgun , David W. Abraham , David P. DiVincenzo

High quality factors, strong nonlinearities, and extensive design flexibility make superconducting circuits an ideal platform to investigate synchronization phenomena deep in the quantum regime. Recently~\cite{Loerch-2017}, it was predicted…

Quantum Physics · Physics 2018-01-11 Simon E. Nigg

Quantum ergodicity asserts that almost all infinite sequences of eigenstates of a quantized ergodic system are equidistributed in the phase space. On the other hand, there are might exist exceptional sequences which converge to different…

Mathematical Physics · Physics 2015-05-13 Boris Gutkin

We give new evidence that quantum circuits are substantially more powerful than classical circuits. We show, relative to a random oracle, that polynomial-size quantum circuits can sample distributions that subexponential-size classical…

Quantum Physics · Physics 2025-10-07 Guy Blanc , Caleb Koch , Jane Lange , Carmen Strassle , Li-Yang Tan

An extended Josephson junction consists of two superconducting electrodes that are separated by an insulator and it is therefore also a microwave cavity. The superconducting phase difference across the junction determines the supercurrent…

Superconductivity · Physics 2015-06-03 V. Humbert , M. Aprili , J. Hammer

Quasiperiodicity has recently been proposed to enhance superconductivity and its proximity effect. At the same time, there has been significant experimental progress in the fabrication of quasiperiodic structures, also in reduced…

Superconductivity · Physics 2024-09-27 Anna Sandberg , Oladunjoye A. Awoga , Annica M. Black-Schaffer , Patric Holmvall

We explore superconducting quantum circuits where several leads are simultaneously connected beyond the tunneling regime, such that the fermionic structure of Andreev bound states in the resulting multiterminal Josephson junction influences…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 F. J. Matute-Cañadas , L. Tosi , A. Levy Yeyati

We have developed a microscopic theory of ac Josephson effect in short ballistic superconducting constrictions with arbitrary electron transparency and in constrictions with diffusive electron transport. The theory is valid for arbitrary…

Superconductivity · Physics 2009-10-30 A. V. Zaitsev , D. V. Averin

Superconducting circuits consisting of a few low-anharmonic transmons coupled to readout and bus resonators can perform basic quantum computations. Since the number of qubits in such circuits is limited to not more than a few tens, the…

Mesoscale and Nanoscale Physics · Physics 2019-07-18 Mohammad H. Ansari

Unconventional superconductivity with spin-triplet Cooper pairing is reviewed on the basis of the quasi-phenomenological Ginzburg-Landau theory. The superconductivity, in particular, the mixed phase of coexistence of ferromagnetism and…

Superconductivity · Physics 2007-05-23 Diana V. Shopova , Tsvetomir E. Tsvetkov , Dimo I. Uzunov

We consider a Josephson bijunction consisting of three superconducting reservoirs connected through two quantum dots. In equilibrium, the interdot coupling is sizable only for distances smaller than the superconducting coherence length.…

Mesoscale and Nanoscale Physics · Physics 2023-12-04 Andriani Keliri , Benoît Douçot

Josephson superconducting qubits and parametric amplifiers are prominent examples of superconducting quantum circuits that have shown rapid progress in recent years. With the growing complexity of such devices, the requirements for…

Eigen oscillations in a superconducting parallel plate resonator with the Josephson-coupled plates are investigated. While the insulator thickness S changes from tens of microns down to the decay lengthscale of the superconducting…

Superconductivity · Physics 2011-08-15 Vladimir V. Talanov

The critical currents in Josephson junctions of conventional superconductors with macroscopic defects are calculated for different defect critical current densities as a function of the magnetic field. We also study the evolution of the…

Superconductivity · Physics 2009-10-31 N. Stefanakis , N. Flytzanis

We present a theory of the Josephson current in superconductor-normal metal-superconductor (SNS) junctions in the presence of generic spin-dependent fields, such as spin-orbit coupling (SOC), Zeeman fields, and altermagnetism. We consider…

Superconductivity · Physics 2026-04-10 Maryam Darvishi , F. Sebastián Bergeret , Stefan Ilić

We develop a microscopic theory of ac Josephson effect in superconducting junctions described by an arbitrary scattering matrix that may include magnetic effects. In the limit of constant in time bias voltage $V$ applied to the junction we…

Superconductivity · Physics 2024-10-22 Mikhail S. Kalenkov , Andrei D. Zaikin

Superconducting circuit quantisation conventionally starts from classical Euler-Lagrange circuit equations-of-motion. Invoking the correspondence principle yields a canonically quantised circuit description of circuit dynamics over a…

Quantum Physics · Physics 2025-08-13 Yun-Chih Liao , Ben J. Powell , Thomas M. Stace

We reconsider the Ginzburg-Landau expansion for the case of a non-Fermi liquid superconductor. We obtain analytical results for the Ginzburg-Landau functional in the critical region around the superconducting phase transition, T <= T_c, in…

Superconductivity · Physics 2009-11-07 I. Tifrea , J. A. Budagosky Marcilla , J. J. Rodriguez-Nunez

Even in the absence of Coulomb interactions phase fluctuations induced by quantum size effects become increasingly important in superconducting nano-structures as the mean level spacing becomes comparable with the bulk superconducting gap.…

Superconductivity · Physics 2014-03-05 Pedro Ribeiro , Antonio M. García-García

The theoretical approach proposed recently for description of redistribution of electronic charge in multilayered selectively doped systems is modified for a system with finite number of layers. A special attention is payed to the case of a…

Superconductivity · Physics 2013-05-29 V. M. Loktev , Yu. G. Pogorelov
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