Experimental observation of the dual behavior of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric scattering

Lin, Zin; Schindler, Joseph; Ellis, F. M.; Kottos, Tsampikos

doi:10.1103/physreva.85.050101

Cited by 130 publications

(93 citation statements)

References 31 publications

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“…The effect of nonreciprocity was first observed experimentally for electric current transmission lines attached to PT-symmetric electronic circuit resonators playing the role of nonlinear scatterers [151,152]. As a reference model, Bender et al used coupled nonlinear electronic Van der Pol oscillators with anharmonic parts consisting of a complementary amplifier (gain) and a dissipative conductor (loss) combined to preserve PT-symmetry.…”

Section: Nonlinear Nonreciprocitymentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

345

263

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One of the challenges of the modern photonics is to develop all-optical devices enabling increased speed and energy efficiency for transmitting and processing information on an optical chip. It is believed that the recently suggested ParityTime (PT) symmetric photonic systems with alternating regions of gain and loss can bring novel functionalities. In such systems, losses are as important as gain and, depending on the structural parameters, gain compensates losses. Generally, PT systems demonstrate nontrivial non-conservative wave interactions and phase transitions, which can be employed for signal filtering and switching, opening new prospects for active control of light. In this review, we discuss a broad range of problems involving nonlinear PT-symmetric photonic systems with an intensitydependent refractive index. Nonlinearity in such PT symmetric systems provides a basis for many effects such as the formation of localized modes, nonlinearly-induced PT-symmetry breaking, and all-optical switching. Nonlinear PT-symmetric systems can serve as powerful building blocks for the development of novel photonic devices targeting an active light control.

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Section: Nonlinear Nonreciprocitymentioning

confidence: 99%

Nonlinear switching and solitons in PT‐symmetric photonic systems

Suchkov

Sukhorukov

Huang

et al. 2016

Laser & Photonics Reviews

345

263

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“…In the broken phase (red curve), the second components of the eigenvectors are purely imaginary, and under conjugation, one of the components transforms into the other. It should be pointed out that the unusual scattering properties of the PT -symmetric medium have also been demonstrated in optics and electronics, both in theories and experiments [41,42,44,45].…”

Section: Scattering Propertiesmentioning

confidence: 99%

PT-Symmetric Acoustics

et al. 2014

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We introduce here the concept of acoustic parity-time (PT ) symmetry and demonstrate the extraordinary scattering characteristics of the acoustic PT medium. On the basis of exact calculations, we show how an acoustic PT -symmetric medium can become unidirectionally transparent at given frequencies. Combining such a PT -symmetric medium with transformation acoustics, we design two-dimensional symmetric acoustic cloaks that are unidirectionally invisible in a prescribed direction. Our results open new possibilities for designing functional acoustic devices with directional responses.

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“…One interesting consequence of a flat band is the different scaling properties of its localization length when compared with a dispersive band [18][19][20], due to a multitude of degenerate states in the flat band. This degeneracy has another important implication on Parity-Time (PT ) symmetry breaking [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]: it was found recently that the degeneracy of the underlying Hermitian spectrum, before any T -breaking perturbations are introduced, determines whether thresholdless PT symmetry breaking is possible [40]. Therefore, it is interesting to probe the interplay of the large degeneracy in a flat band system and PT symmetry breaking.…”

Section: Introductionmentioning

confidence: 99%

Parity-time symmetry in a flat-band system

2015

Phys. Rev. A

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In this paper we introduce Parity-Time (PT ) symmetric perturbation to a one-dimensional Lieb lattice, which is otherwise P-symmetric and has a flat band. In the flat band there are a multitude of degenerate dark states, and the degeneracy N increases with the system size. We show that the degeneracy in the flat band is completely lifted due to the non-Hermitian perturbation in general, but it is partially maintained with the half-gain-half-loss perturbation and its "V" variant that we consider. With these perturbations, we show that both randomly positioned states and pinned states at the symmetry plane in the flat band can undergo thresholdless PT breaking. They are distinguished by their different rates of acquiring non-Hermicity as the PT -symmetric perturbation grows, which are insensitive to the system size. Using a degenerate perturbation theory, we derive analytically the rate for the pinned states, whose spatial profiles are also insensitive to the system size. Finally, we find that the presence of weak disorder has a strong effect on modes in the dispersive bands but not on those in the flat band. The latter respond in completely different ways to the growing PT -symmetric perturbation, depending on whether they are randomly positioned or pinned.

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Experimental observation of the dual behavior ofPT-symmetric scattering

Cited by 130 publications

References 31 publications

Nonlinear switching and solitons in PT‐symmetric photonic systems

Nonlinear switching and solitons in PT‐symmetric photonic systems

PT-Symmetric Acoustics

Parity-time symmetry in a flat-band system

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