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We numerically investigated the quantum-classical transition in rf-SQUID systems coupled to a dissipative environment. It is found that chaos emerges and the degree of chaos, the maximal Lyapunov exponent $\lambda_{m}$, exhibits…

Quantum Physics · Physics 2009-11-24 Ting Mao , Yang Yu

We investigate superconducting interference device (SQUID) with two asymmetric Josephson junctions coupled to a mechanical resonator embedded in the loop of the SQUID. We quantize this system in the case when the frequency of the mechanical…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 Olga Shevchuk , Gary A. Steele , Ya. M. Blanter

We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled in a two-dimensional geometry. In this study, we show that the system under study demonstrates a plethora of different spatiotemporal structures…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 I. A. Shepelev , S. S. Muni , T. E. Vadivasova

Compact microwave resonantors made of superconducting rings containing Josephson junctions (SQUIDs) are attractive candidates for building frequency tunable metamaterials with low losses and pronounced nonlinear properties. We explore the…

Applied Physics · Physics 2019-11-20 E. I. Kiselev , A. S. Averkin , M. V. Fistul , V. P. Koshelets , A. V. Ustinov

Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexisting synchronized and unsynchronized oscillators, provided a…

Adaptation and Self-Organizing Systems · Physics 2021-10-27 Sindre W. Haugland , Anton Tosolini , Katharina Krischer

We investigate nondegenerate parametric oscillations in a multimode superconducting microwave resonator that is terminated by a SQUID. The parametric effect is achieved by modulating magnetic flux through the SQUID at a frequency close to…

A Superconducting Quantum Interference Device (SQUID) inserted in a superconducting waveguide resonator imposes current and voltage boundary conditions that makes it suitable as a tuning element for the resonator modes. If such a SQUID…

Quantum Physics · Physics 2015-03-10 Christian Kraglund Andersen , Klaus Mølmer

We explore the quantum-classical crossover of two coupled, identical, superconducting quantum interference device (SQUID) rings. The motivation for this work is based on a series of recent papers. In ~[1] we showed that the entanglement…

Quantum Physics · Physics 2010-01-13 M. J. Everitt

We analyze the behavior of a dc Superconducting Quantum Interference Device (SQUID) phase qubit in which one junction acts as a phase qubit and the rest of the device provides isolation from dissipation and noise in the bias leads. Ignoring…

Superconductivity · Physics 2009-11-13 Kaushik Mitra , F. W. Strauch , C. J. Lobb , J. R. Anderson , F. C. Wellstood , Eite Tiesinga

In this paper we study, by analogy with quantum optics, the superconducting quantum interference device (SQUID) ring mediated quantum mechanical interaction of an input electromagnetic field oscillator mode with two or more output…

Superconductivity · Physics 2007-05-23 P. B. Stiffell , M. J. Everitt , T. D. Clark , C. J. Harland , J. F. Ralph

Superconducting metamaterials, which are designed and fabricated with structured fundamental circuit elements, have motivated recent developments of exploring unconventional quantum phenomena in circuit quantum electrodynamics…

Quantum Physics · Physics 2023-02-16 Xin Wang , Ya-Fen Lin , Jia-Qi Li , Wen-Xiao Liu , Hong-Rong Li

We report the occurrence of a self-emerging frequency chimera state in spatially extended systems of coupled oscillators, where the coherence and incoherence are defined with respect to the emergent frequency of the oscillations. This is…

Adaptation and Self-Organizing Systems · Physics 2021-12-28 Sneha Kachhara , G. Ambika

We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order…

Chaotic Dynamics · Physics 2015-08-03 Matthias Wolfrum , Oleh Omel'chenko , Jan Sieber

Chimera states are dynamical patterns in networks of coupled oscillators in which regions of synchronous and asynchronous oscillation coexist. Although these states are typically observed in large ensembles of oscillators and analyzed in…

Pattern Formation and Solitons · Physics 2016-02-03 Mark J. Panaggio , Daniel M. Abrams , Peter Ashwin , Carlo R. Laing

We have observed coherent time evolution of states in a multi-level quantum system, formed by a current-biased dc SQUID. The manipulation of the quantum states is achieved by resonant microwave pulses of flux. The number of quantum states…

Superconductivity · Physics 2009-11-10 J. Claudon , F. Balestro , F. W. J. Hekking , O. Buisson

Nanoscale superconducting quantum interference devices (SQUIDs) are fabricated in-situ from a single Bi$_{0.26}$Sb$_{1.74}$Te$_{3}$ nanoribbon that is defined using selective-area growth and contacted with superconducting Nb electrodes via…

Two-dimensional (2D) turbulence, despite being an idealization of real flows, is of fundamental interest as a model of the spontaneous emergence of order from chaotic flows. The emergence of order often displays critical behavior, whose…

Fluid Dynamics · Physics 2025-03-21 Filip Novotný , Marek Talíř , Šimon Midlik , Emil Varga

Topological spin textures emerging in magnetic materials usually appear in crystalline states. A long-standing dilemma is whether we should understand these emergent crystals as gathering particles or coupling waves, the answer of which…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Yangfan Hu

Nonlinear systems possessing nonattracting chaotic sets, such as chaotic saddles, embedded in their state space may oscillate chaotically for a transient time before eventually transitioning into some stable attractor. We show that these…

Chaotic Dynamics · Physics 2023-07-14 Everton S. Medeiros , Oleh Omel'chenko , Ulrike Feudel

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we…

Chaotic Dynamics · Physics 2015-06-18 Lennart Schmidt , Konrad Schönleber , Katharina Krischer , Vladimir García-Morales