Progress in superconducting metamaterials

Jung, Philipp; Ustinov, A. V.; Anlage, Steven M.

doi:10.1088/0953-2048/27/7/073001

Cited by 130 publications

(136 citation statements)

References 167 publications

Supporting

Mentioning

127

Contrasting

Unclassified

Order By: Relevance

“…That system, however, is known to exhibit high metastability, which renders the chimera state non-stationary when tracked in long time intervals [24]. Here we demonstrate numerically the emergence of multi-clustered robust chimera states in SQUID metamaterials described in the local coupling approximation, in a relevant parameter region which has been determined experimentally in [25,26].Superconducting metamaterials comprising SQUIDs have been realized in both one and two dimensions [25][26][27][28][29][30] and possess extraordinary properties such as negative magnetic permeability, dynamic multistability, broad- band tunability, switching between different magnetic permeability states, as well as a unique form of transparency whose development can be manipulated through multiple parametric dependences. Some of these observed properties had been theoretically predicted both for the quantum [31] and the classical regime [32,33].…”

mentioning

confidence: 53%

Robust chimera states in SQUID metamaterials with local interactions

Hizanidis

Lazarides

Tsironis³

2016

Phys. Rev. E

View full text Add to dashboard Cite

We report on the emergence of robust multi-clustered chimera states in a dissipative-driven system of symmetrically and locally coupled identical SQUID oscillators. The "snake-like" resonance curve of the single SQUID (Superconducting QUantum Interference Device) is the key to the formation of the chimera states and is responsible for the extreme multistability exhibited by the coupled system that leads to attractor crowding at the geometrical resonance (inductive-capacitive) frequency. Until now, chimera states were mostly believed to exist for nonlocal coupling. Our findings provide theoretical evidence that nearest neighbor interactions are indeed capable of supporting such states in a wide parameter range. SQUID metamaterials are the subject of intense experimental investigations and we are highly confident that the complex dynamics demonstrated in this manuscript can be confirmed in the laboratory. Since the first report on chimera states [1], the number of works dedicated to this phenomenon of coexisting synchronous and desynchronous oscillatory behavior has grown immensely (see [2] and references within). The counterintuitive nature of chimeras inspired Abrams and Strogatz [3] to name them after the mythological hybrid creature Chimera (Greek: Χίμαιρα) which has a lion's head, a goat's body and a snake's tail. The latest studies on chimera states focus on their stabilization and manipulation through various control techniques [4][5][6][7] and their experimental verification [8][9][10][11][12][13][14][15].Chimera states have mostly been found for nonlocal coupling between the oscillators [16][17][18]. This fact has given rise to a general notion that nonlocal coupling is an essential ingredient for their existence. However, recently, it has been demonstrated that chimeras can be achieved for global coupling too [13,[19][20][21]. The case of local coupling (i.e. nearest-neighbor interactions) has been studied less: In [22] chimera states were found in locally coupled networks, but the oscillators in the investigated systems were not completely identical. Very recently, the emergence of single-and double-headed (i. e. with one and two (in)coherent regions, respectively) chimera states in neural oscillator networks with local coupling has been reported [23]. That system, however, is known to exhibit high metastability, which renders the chimera state non-stationary when tracked in long time intervals [24]. Here we demonstrate numerically the emergence of multi-clustered robust chimera states in SQUID metamaterials described in the local coupling approximation, in a relevant parameter region which has been determined experimentally in [25,26].Superconducting metamaterials comprising SQUIDs have been realized in both one and two dimensions [25][26][27][28][29][30] and possess extraordinary properties such as negative magnetic permeability, dynamic multistability, broad- band tunability, switching between different magnetic permeability states, as well as a unique form of transparency whose development can be ma...

show abstract

mentioning

confidence: 53%

Robust chimera states in SQUID metamaterials with local interactions

Hizanidis

Lazarides

Tsironis³

2016

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…As a trial spatial profile, let us consider a long chain with a central region of length N − 2N 1 1 where the inductances are smaller by a factor F than in the surrounding (although this piecewise profile does not coincide with the true optimal one, found numerically below, it allows for a simple analytical solution):…”

Section: Squid Loop Area Modulationsmentioning

confidence: 99%

“…Quantum engineering in superconducting nanocircuits is a rapidly developing field, due to progress in sample fabrication techniques which has been occurring in the past decade [1]. Complex circuits with many elements can be routinely fabricated on a chip nowadays.…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous Josephson junction chains: a superconducting meta-material for superinductance optimization

Nguyen

Basko

2017

Eur. Phys. J. Spec. Top.

View full text Add to dashboard Cite

Abstract. We report a theoretical study of the low-frequency impedance of a Josephson junction chain whose parameters vary in space. Our goal is to find the optimal spatial profile which maximizes the total inductance of the chain without shrinking the low-frequency window where the chain behaves as an inductor. If the spatial modulation is introduced by varying the junction areas, we find that the best result is obtained for a spatially homogeneous chain, reported earlier in the literature. An improvement over the homogeneous result can be obtained by representing the junctions by SQUIDs with different loop areas, so the inductances can be varied by applying a magnetic field. Still, we find that this improvement becomes less important for longer chains.

show abstract

“…Recent experiments on both one-and two-dimensional radio-frequency (rf) SQUID metamaterials in the superconducting state have demonstrated their wide-band tuneability, significantly reduced losses, and dynamic multistability [2][3][4][5][6] . The simpest version of an rf SQUID consists of a superconducting ring interrupted by a Josephson junction 7 (Fig.…”

Section: Introductionmentioning

confidence: 99%

Chimeras in SQUID metamaterials

2015

View full text Add to dashboard Cite

Regular lattices comprising Superconducting QUantum Interference Devices (SQUIDs) form magnetic metamaterials exhibiting extraordinary properties, including tuneability, dynamic multistability, and negative magnetic permeability. The SQUIDs in a metamaterial interact through non-local, magnetic dipole-dipole forces, that makes it possible for counter-intuitive dynamic states referred to as chimera states to appear; the latter feature clusters of SQUIDs with synchronous dynamics which coexist with clusters exhibiting asynchronous behavior. The spontaneous appearence of chimera states is demonstrated numerically for one-dimensional SQUID metamaterials driven by an alternating magnetic field in which the fluxes threading the SQUID rings are randomly initialized; then, chimera states appear generically for sufficiently strong initial excitations, which exhibit relatively long life-times. The synchronization and metastability levels of the chimera states are discussed in terms of appropriate measures. Given that both one-and two-dimensional SQUID metamaterials have been already fabricated and investigated in the lab, the presence of a chimera state could in principle be detected with presently available experimental set-ups.

show abstract

Progress in superconducting metamaterials

Cited by 130 publications

References 167 publications

Robust chimera states in SQUID metamaterials with local interactions

Robust chimera states in SQUID metamaterials with local interactions

Inhomogeneous Josephson junction chains: a superconducting meta-material for superinductance optimization

Chimeras in SQUID metamaterials

Contact Info

Product

Resources

About