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An effective free energy of a two dimensional (i.e. large area) Josephson Junctions is derived, allowing for thermal fluctuations, for random magnetic fields and for external currents. We show by using replica symmetry breaking methods,…

Superconductivity · Physics 2009-10-30 Baruch Horovitz , Anatoly Golub

We study thermalization slowing down of a quantum many-body spin system upon approach to two distinct integrability limits. Motivated by previous studies of classical systems, we identify two thermalization time scales: one quantum Lyapunov…

Quantum Physics · Physics 2024-12-25 Budhaditya Bhattacharjee , Alexei Andreanov , Sergej Flach

Embedded in an ohmic environment, the Josephson current peak can transfer part of its weight to finite voltage and the junction becomes resistive. The dissipative environment can even suppress the superconducting effect of the junction via…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Tom Morel , Christophe Mora

We study the one-dimensional discrete $\Phi^4$ model. We compare two equilibrium properties by use of molecular dynamics simulations: the Lyapunov spectrum and the time dependence of local correlation functions. Both properties imply the…

Condensed Matter · Physics 2009-10-22 S. Flach , G. Mutschke

The coupling of Josephson oscillations in layered superconductors is studied with help of a tunneling Hamiltonian formalism. The general form of the current density across the barriers between the superconducting layers is derived. The…

Superconductivity · Physics 2015-06-25 Ch. Preis , Ch. Helm , J. Keller , A. Sergeev , R. Kleiner

We have studied a quantum Hamiltonian that models an array of ultrasmall Josephson junctions with short range Josephson couplings, $E_J$, and charging energies, $E_C$, due to the small capacitance of the junctions. We derive a new effective…

Statistical Mechanics · Physics 2016-08-15 T. K. Kopeć , J. V. José

We study the thermalization slowing down of Fermi-Past-Ulam-Tsingou (FPUT) chains and of Toda chains with nonintegrable boundaries. We focus on the transition from FPUT to harmonic chains, from FPUT to Toda chains with fixed boundaries, and…

Chaotic Dynamics · Physics 2026-03-25 Aniket Patra , Sergej Flach

We introduce a new approach to the Josephson effect in SIS tunnel junctions. The Josephson coupling energy is calculated from the overlap of real space Cooper pair wavefunctions in two superconductors through an insulating barrier. It is…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

We study the phase diagram and quantum critical properties of a resistively shunted Josephson junction array in one dimension from a strong coupling analysis. After mapping the dissipative quantum phase model to an effective sine-Gordon…

Superconductivity · Physics 2007-05-23 Pallab Goswami , Sudip Chakravarty

Thermal activation and macroscopic quantum tunneling in current-biased discrete Josephson transmission lines are studied theoretically. The degrees of freedom under consideration are the phases across the junctions which are coupled to each…

Superconductivity · Physics 2009-10-31 Thorsten Droese , Cristiane Morais-Smith

We study the scaling behavior and critical dynamics of the resistive transition in Josephson-junction arrays, at f=1/2 flux quantum per plaquette, by numerical simulation of an on-site dissipation model for the dynamics. The results are…

Superconductivity · Physics 2009-11-11 Enzo Granato , Daniel Dominguez

We find the admittance $Y(\omega)$ of a Josephson junction at or near a topological transition. The dependence of the admittance on frequency and temperature at the critical point is universal and determined by the symmetries of the system.…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Vladislav D. Kurilovich , Chaitanya Murthy , Pavel D. Kurilovich , Bernard van Heck , Leonid I. Glazman , Chetan Nayak

We present a phenomenological description of the critical slowing down associated with period-doubling bifurcations in discrete dynamical systems. Starting from a local Taylor expansion around the fixed point and the bifurcation parameter,…

Chaotic Dynamics · Physics 2026-02-05 Edson D. Leonel , João P. C. Ferreira , Diego F. M. Oliveira

Dynamical simulations and scaling arguments are used to study the current-voltage (IV) characteristics of a two-dimensional model of resistively shunted Josephson-junction arrays in presence of percolative disorder, at zero external field.…

Superconductivity · Physics 2009-10-30 Enzo Granato , Daniel Dominguez

A comparative study of the magnetic remanence exhibited by tridimensional Josephson junction arrays in response to an excitation with an AC magnetic field is presented. The observed temperature behavior of the remanence curves for…

Superconductivity · Physics 2009-11-07 S. Sergeenkov , W. A. C. Passos , P. N. Lisboa-Filho , W. A. Ortiz

We study Josephson oscillations of two strongly correlated one-dimensional bosonic clouds separated by a localized barrier. Using a quantum-Langevin approach and the exact Tonks-Girardeau solution in the impenetrable-boson limit, we…

Quantum Gases · Physics 2018-09-03 J. Polo , V. Ahufinger , F. W. J. Hekking , A. Minguzzi

A superconductor-normal metal-superconductor mesoscopic Josephson junction has been realized in which the critical current is tuned through normal current injection using a symmetric electron cooler directly connected to the weak link. Both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. M. Savin , J. P. Pekola , J. T. Flyktman , A. Anthore , F. Giazotto

We discuss thermalization in a multimode quantum cavity under unitary evolution. According to general principles, an isolated system with quadratic couplings does not exhibit thermalization. However, we find that three-wave perturbation,…

Quantum Physics · Physics 2024-05-01 Jukka P. Pekola , Bayan Karimi

The ultimate spatial limit to establish a Josephson coupling between two superconducting electrodes is an atomic-scale junction. The Josephson effect in such ultrasmall junctions has been used to unveil new switching dynamics, study…

Two superconductors coupled by a weak link support an equilibrium Josephson electrical current which depends on the phase difference $\varphi$ between the superconducting condensates [1]. Yet, when a temperature gradient is imposed across…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Antonio Fornieri , Giuliano Timossi , Pauli Virtanen , Paolo Solinas , Francesco Giazotto