Quantum left-handed metamaterial from superconducting quantum-interference devices

Du, Chao; Chen, Hongyi; Li, Shiqun

doi:10.1103/physrevb.74.113105

Cited by 72 publications

(70 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It stems from the nonlinear nature of the Josephson junction. This effect has been widely discussed [10][11][12] and demonstrated in different waveguide geometries 13-15. Although this truly remarkable feature is a direct effect of the Josephson nonlinearity, the SQUIDs in the cited experiments were mostly operated at excitation powers low enough to treat the junction as a quasi-linear inductive element. With increasing power, this simple model fails as the nonlinearity starts to influence the resonant behaviour.…”

mentioning

confidence: 99%

Multistability and switching in a superconducting metamaterial

et al. 2014

View full text Add to dashboard Cite

The field of metamaterial research revolves around the idea of creating artificial media that interact with light in a way unknown from naturally occurring materials. This is commonly achieved using sub-wavelength lattices of electronic or plasmonic structures, so-called metaatoms. One of the ultimate goals for these tailored media is the ability to control their properties in situ. Here we show that superconducting quantum interference devices can be used as fast, switchable meta-atoms. We find that their intrinsic nonlinearity leads to simultaneously stable dynamic states, each of which is associated with a different value and sign of the magnetic susceptibility in the microwave domain. Moreover, we demonstrate that it is possible to switch between these states by applying nanosecond-long pulses in addition to the microwave-probe signal. Apart from potential applications for this all-optical metamaterial switch, the results suggest that multistability can also be utilized in other types of nonlinear meta-atoms.

show abstract

mentioning

confidence: 99%

Multistability and switching in a superconducting metamaterial

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Some of these observed properties had been theoretically predicted both for the quantum [31] and the classical regime [32,33]. SQUID metamaterials are richly nonlinear effective media modeled by discrete phenomenological equations of coupled individual SQUID oscillators, which introduce qualitatively new macroscopic quantum effects into both the metamaterials and the coupled oscillator networks communities, i.e., magnetic flux quantization and the Josephson effect [34].…”

mentioning

confidence: 99%

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

“…This superconducting device has found up to date numerous applications [26,27,28,29], and it is known to be the worlds most sensitive detector of magnetic signals. The replacement of metallic SRRs with rf SQUIDs, which have no direct electrical conduct but instead they are coupled magnetically through their mutual inductances, has been suggested theoretically a few years ago [30,31]. Such SQUID metamaterials have been recently realized in the lab [18,19,32,24,25], that exhibit strong nonlinearities and wide-band tuneability with unusual magnetic properties due to macroscopic quantum effects.…”

Section: Introductionmentioning

confidence: 99%

“…Their operation frequency spans a huge range, from zero [51,52,53,54] to microwaves [55,18,56,19,32] and to Terahertz [11,12,37,57,38,39,40,15,58,59,41,42] and visible [45] frequencies. Moreover, researchers rely on particular superconducting devices to access the trully quantum metamaterial regime [30,60,61,62,63].…”

Section: Introductionmentioning

confidence: 99%

Wide-band tuneability, nonlinear transmission, and dynamic multistability in SQUID metamaterials

2014

View full text Add to dashboard Cite

Superconducting metamaterials comprising rf SQUIDs (Superconducting QUantum Interference Devices) have been recently realized and investigated with respect to their tuneability, permeability and dynamic multistability properties. These properties are a consequence of intrinsic nonlinearities due to the sensitivity of the superconducting state to external stimuli. SQUIDs, made of a superconducting ring interrupted by a Josephson junction, possess yet another source of nonlinearity, which makes them widely tuneable with an applied dc dlux. A model SQUID metamaterial, based on electric equivalent circuits, is used in the weak coupling approximation to demonstrate the dc flux tuneability, dynamic multistability, and nonlinear transmission in SQUID metamaterials comprising non-hysteretic SQUIDs. The model equations reproduce the experimentally observed tuneability patterns, and predict tuneability with the power of an applied ac magnetic magnetic field. Moreover, the results indicate the opening of nonlinear frequency bands for energy transmission through SQUID metamaterials, for sufficiently strong ac fields.

show abstract

Quantum left-handed metamaterial from superconducting quantum-interference devices

Cited by 72 publications

References 20 publications

Multistability and switching in a superconducting metamaterial

Multistability and switching in a superconducting metamaterial

Robust chimera states in SQUID metamaterials with local interactions

Wide-band tuneability, nonlinear transmission, and dynamic multistability in SQUID metamaterials

Contact Info

Product

Resources

About