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The superconducting circuits involving Josephson junction offer macroscopic quantum two-level system (qubit) which are coupled to cavity resonators and are operated via microwave signals. In this work, we study the dynamics of…

Quantum Physics · Physics 2022-07-12 Prashant Shukla

The phase diagram of a two-dimensional Josephson array of mesoscopic objects is examined. Quantum fluctuations in both the modulus and phase of the superconducting order parameter are taken into account within a lattice boson Hubbard model.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

We studied current-voltage characteristics of long one dimensional Josephson junction chains with Josephson energy much larger than charging energy, $E_J \gg E_C$. In this regime, typical IV curves of the samples consist of a supercurrent…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Adem Ergül , Jack Lidmar , Jan Johansson , David Schaeffer , Magnus Lindblom , David B. Haviland

We study the classical dynamics of an axion field (the signal) that is coupling into a Josephson junction (the detector) by means of a capacitive coupling of arbitrary size. Depending on the size of the coupling constant and the initial…

Chaotic Dynamics · Physics 2018-08-30 Jin Yan , Christian Beck

We consider the dynamics of a two-dimensional array of underdamped Josephson junctions placed in a single-mode resonant cavity. Starting from a well-defined model Hamiltonian, which includes the effects of driving current and dissipative…

Superconductivity · Physics 2009-11-07 E. Almaas , D. Stroud

The superconducting transition of a two-dimensional (2D) Josephson junction array exposed to weak magnetic fields has been studied experimentally. Resistance measurements reveal a superconducting-resistive phase boundary in serious…

Superconductivity · Physics 2009-11-11 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi

We investigate quantum phase transitions in two-dimensional superconducting arrays with general capacitance matrices and discrete charge states. We use the perturbation theory together with the simulated annealing method to obtain the…

Superconductivity · Physics 2008-02-03 Beom Jun Kim , Jeenu Kim , Sung Yong Park , M. Y. Choi

The Josephson effect describes supercurrent flowing through a junction connecting two superconducting leads by a thin barrier [1]. This current is driven by a superconducting phase difference $\phi$ between the leads. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 D. B. Szombati , S. Nadj-Perge , D. Car , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

We consider a two-dimensional fully frustrated Josephson-junction array, which is driven uniformly by oscillating currents. As the temperature is lowered, there emerges a dynamic phase transition to an ordered state with nonzero dynamic…

Condensed Matter · Physics 2009-11-07 Gun Sang Jeon , Jong Soo Lim , Hyun Jin Kim , M. Y. Choi

We have observed a dissipative phase diffusion branch in arrays of hysteretic high-Tc intrinsic Josephson junctions. By comparing the data with a thermal activation model we extract the impedance seen by the junction in which phase…

Superconductivity · Physics 2009-11-10 P. A. Warburton , A. R. Kuzhakhmetov , G. Burnell , M. G. Blamire , H. Schneidewind

The supercurrent of a Josephson junction is reduced by phase diffusion. For ultrasmall capacitance junctions the current may be further decreased by Coulomb blockade effects. We calculate the Cooper pair current by means of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hermann Grabert , Gert-Ludwig Ingold , Benjamin Paul

The low temperature phase diagram of 1D disordered quantum systems like charge or spin density waves, superfluids and related systems is considered by a full finite T renormalization group approach, presented here for the first time. At…

Strongly Correlated Electrons · Physics 2009-11-07 Andreas Glatz , Thomas Nattermann

Current status of theoretical researches on the QCD phase diagram at finite temperature and baryon chemical potential is reviewed with special emphasis on the origin of various phases and their symmetry breaking patterns. Topics include;…

High Energy Physics - Phenomenology · Physics 2015-03-17 Kenji Fukushima , Tetsuo Hatsuda

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

In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite arrays of Josephson junctions coupled through superconducting…

Numerical Analysis · Mathematics 2011-12-06 J. E. Macías-Díaz , S. Jerez-Galiano

The interplay between coherent tunnel coupling and on-site interactions in dissipation-free bosonic systems has lead to many spectacular observations, ranging from the demonstration of number-phase uncertainty relation to quantum phase…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Dario Gerace , Hakan E. Tureci , A. Imamoglu , Vittorio Giovannetti , Rosario Fazio

We study the capacitance-coupled Josephson junction array beyond the small-coupling limit. We find that, when the scale of the system is large, its Hamiltonian can be obtained without the small-coupling approximation and the system can be…

Quantum Physics · Physics 2015-06-12 Liang-Hui Du , Xingxiang Zhou , Yong-Jian Han , Guang-Can Guo , Zheng-Wei Zhou

In this thesis, we study quantum phase transitions and topological phases in low dimensional fermionic systems. In the first part, we study quantum phase transitions and the nature of currents in one-dimensional systems, using field…

Strongly Correlated Electrons · Physics 2018-03-19 Sayonee Ray

We theoretically investigate the escape rate occurring via quantum tunneling in a system affected by tailored dissipation. Specifically, we study the environmental assisted quantum tunneling of the superconducting phase in a current-biased…

Mesoscale and Nanoscale Physics · Physics 2022-07-20 Dominik Maile , Joachim Ankerhold , Sabine Andergassen , Wolfgang Belzig , Gianluca Rastelli

Quantum phase transitions typically result in a broadened critical or crossover region at nonzero temperature. Josephson arrays are a model of this phenomenon, exhibiting a superconductor-insulator transition at a critical wave impedance,…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 S. Mukhopadhyay , J. Senior , J. Saez-Mollejo , D. Puglia , M. Zemlicka , J. Fink , A. P. Higginbotham