Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients

Lazarides, N.; Hizanidis, Johanne; Tsironis, G. P.

doi:10.1016/j.chaos.2019.109413

Cited by 7 publications

(5 citation statements)

References 43 publications

(37 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For instance, for a slope of 3.5, a multichimera state with two (in)coherent domains is formed (not shown here). Recently, this mechanism for the generation of chimera states was reported, for non-identical coupled SQUIDs, where the gradient was in the dc flux distribution rather than in the initial conditions 46 .…”

Section: B Chimera Statesmentioning

confidence: 97%

Pattern formation and chimera states in 2D SQUID metamaterials

Hizanidis

Lazarides

Tsironis

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

The Superconducting QUantum Interference Device (SQUID) is a highly nonlinear oscillator with rich dynamical behavior, including chaos. When driven by a time-periodic magnetic flux, the SQUID exhibits extreme multistability at frequencies around the geometric resonance which is manifested by a "snake-like" form of the resonance curve. Repeating motifs of SQUIDs form metamaterials, i. e. artificially structured media of weakly coupled discrete elements that exhibit extraordinary properties, e. g. negative diamagnetic permeability. We report on the emergent collective dynamics of two-dimensional lattices of coupled SQUID oscillators, which involves a rich menagerie of spatio-temporal pattern formation and chimera states. Using Fourier analysis we charaterize these patterns and identify characteristic spatial and temporal periods. The obtained patterns occur near the synchronization-desynchronization transition which is related to the bifurcation scenarios of the single SQUID. The latter provides useful insight into the obtained collective states. Chimeras emerge due to the multistability near the geometric resonance, and by varying the dc component of the external force we can make them appear and reappear and, also, control their location.

show abstract

Section: B Chimera Statesmentioning

confidence: 97%

Pattern formation and chimera states in 2D SQUID metamaterials

Hizanidis

Lazarides

Tsironis

2020

Chaos: An Interdisciplinary Journal of Nonlinear Science

Self Cite

View full text Add to dashboard Cite

show abstract

“…In early theoretical and experimental works on rf SQUID metamaterials, the rf SQUIDs were packed together side-byside in either one [9,10,35,36] or two dimensions [11], with substantial long-range (dipole-dipole) mutual inductance of the SQUID loops due to their close lateral proximity in the plane. This coupling gives rise to remarkable collective behaviors of the metasurface, such as chimera states [37][38][39][40][41][42][43], disorder-dominated states [21,44,45], and coherent modes of oscillation [46]. Such states have been directly imaged by laser scanning microscopy in the superconducting state under microwave magnetic flux [47,48].…”

Section: Introductionmentioning

confidence: 99%

Effects of strong capacitive coupling between meta-atoms in rf SQUID metamaterials

Cai,

Cantor,

Hizanidis

et al. 2024

Supercond. Sci. Technol.

Self Cite

View full text Add to dashboard Cite

We consider, for the first time, the effects of strong capacitive and inductive coupling between radio frequency Superconducting Quantum Interference Devices (rf SQUIDs) in an overlapping metamaterial geometry when driven by rf flux at and near their self-resonant frequencies. The equations of motion for the gauge-invariant phases on the Josephson junctions in each SQUID are set up and solved. Our model accounts for the high-frequency displacement currents through capacitive overlap between the wiring of SQUID loops. We begin by modeling two overlapping SQUIDs and studying the response in both the linear and nonlinear high-frequency driving limits. By exploring a sequence of more and more complicated arrays, the formalism is eventually extended to the N × N × 2 overlapping metamaterial array, where we develop an understanding of the many (8N2-8N+3) resulting resonant modes in terms of three classes of resonances. The capacitive coupling gives rise to qualitatively new self-resonant response of rf SQUID metamaterials, and is demonstrated through analytical theory, numerical modeling, and experiment in the 10-30 GHz range on capacitively and inductively coupled rf SQUID metamaterials.

show abstract

“…In this case a metamaterial made up of identical meta-atoms under uniform excitation will spontaneously break into domains of coherent oscillation intermingled with incoherent behavior. [31][32][33][34][35][36][37] rf SQUIDs and rf SQUID metamaterials have been considered for applications as well.…”

Section: Introductionmentioning

confidence: 99%

Tuning of Strong Nonlinearity in rf SQUID Meta-Atoms

Zack,

Zhang,

Trepanier

et al. 2022

Preprint

View full text Add to dashboard Cite

Strong nonlinearity of a self-resonant radio frequency superconducting quantum interference device (rf-SQUID) meta-atom is explored via intermodulation (IM) measurements. Previous work in zero dc magnetic flux showed a sharp onset of IM response as the frequency sweeps through the resonance. A second onset at higher frequency was also observed, creating a prominent gap in the IM response. By extending those measurements to nonzero dc flux, new dynamics are revealed, including: dc flux tunabililty of the aforementioned gaps, and enhanced IM response near geometric resonance of the rf-SQUID. These features observed experimentally are understood and analyzed theoretically through a combination of a steady state analytical modeling, and a full numerical treatment of the rf SQUID dynamics. The latter, in addition, predicts the presence of chaos in narrow parameter regimes. The understanding of intermodulation in rf-SQUID metamaterials is important for producing low-noise amplification of microwave signals and tunable filters.

show abstract

Controlled generation of chimera states in SQUID metasurfaces using DC flux gradients

Cited by 7 publications

References 43 publications

Pattern formation and chimera states in 2D SQUID metamaterials

Pattern formation and chimera states in 2D SQUID metamaterials

Effects of strong capacitive coupling between meta-atoms in rf SQUID metamaterials

Tuning of Strong Nonlinearity in rf SQUID Meta-Atoms

Contact Info

Product

Resources

About