Parity-time symmetry from stacking purely dielectric and magnetic slabs

Gear, James; Fu, Liu; Chu, Sai T.; Rotter, Stefan; Li, Jensen

doi:10.1103/physreva.91.033825

Cited by 53 publications

(35 citation statements)

References 39 publications

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“…[36] and they can be chosen by the way of excitation, e.g., the symmetry of incident waves hereby. Interestingly, our system exhibits the cross-matched P T symmetry, i.e., ε(x) = μ * (−x) [37].…”

Section: Discussionmentioning

confidence: 97%

Simultaneous realization of a coherent perfect absorber and laser by zero-index media with both gain and loss

et al. 2016

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We investigate a unique type of zero-index medium with both gain and loss (ZIMGL), whose effective permittivity and permeability are both purely imaginary but of opposite signs. We analytically show that, by using a slab of ZIMGL with equal magnitude of loss and gain, simulation realization of a coherent perfect absorber (CPA) and laser, i.e., the so-called CPA laser, can be achieved. Previously the CPA laser was proposed in parity-time (P T ) symmetric systems. However, the ZIMGL does not possess the P T symmetry and thus the underlying physics is distinctly different. By designing a photonic crystal (PC) composed of core-shell rods, with loss and gain distributed in either the core or the shell, we have realized such a ZIMGL. The CPA-laser functionality of such a PC is also confirmed in our numerical simulations. Our work provides a different approach for simultaneous realization of CPA and laser besides P T -symmetric systems.

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Section: Discussionmentioning

confidence: 97%

Simultaneous realization of a coherent perfect absorber and laser by zero-index media with both gain and loss

et al. 2016

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“…Interestingly, Li et al explored the possibility of cross-matching ε(z) to μ * (−z), namely, ε(z) = μ * (−z), to establish PT symmetry [87]. More specifically, they investigated a 1D photonic crystal (PhC) consisting of alternating purely dielectric slabs with ε 1 = 2.25 + iγ, μ 1 = 1 and purely magnetic slabs with μ 2 = 2.25 − iγ, ε 2 = 1 ( Figure 6A).…”

Section: Unidirectional Reflectionless Propagation In Pt-symmetric Symentioning

confidence: 99%

Unidirectional reflectionless light propagation at exceptional points

et al. 2017

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Abstract:In this paper, we provide a comprehensive review of unidirectional reflectionless light propagation in photonic devices at exceptional points (EPs). EPs, which are branch point singularities of the spectrum, associated with the coalescence of both eigenvalues and corresponding eigenstates, lead to interesting phenomena, such as level repulsion and crossing, bifurcation, chaos, and phase transitions in open quantum systems described by non-Hermitian Hamiltonians. Recently, it was shown that judiciously designed photonic synthetic matters could mimic the complex non-Hermitian Hamiltonians in quantum mechanics and realize unidirectional reflection at optical EPs. Unidirectional reflectionlessness is of great interest for optical invisibility. Achieving unidirectional reflectionless light propagation could also be potentially important for developing optical devices, such as optical network analyzers. Here, we discuss unidirectional reflectionlessness at EPs in both parity-time (PT)-symmetric and non-PT-symmetric optical systems. We also provide an outlook on possible future directions in this field.

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“…is the eigenvalue of (6), not the Bloch wavenumber k z ; however it is natural to investigate the characteristics of k z since it allows for a straightforward assessment of the gain and loss balance [71]. Bloch eigenmodes that satisfy (3) and (6) are derived from the eigenvalue problem,…”

Section: A State Vector Evolution and Transfer Matrixmentioning

confidence: 99%

Exceptional points of degeneracy andPTsymmetry in photonic coupled chains of scatterers

2017

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We demonstrate the existence of exceptional points of degeneracy (EPDs) of periodic eigenstates in nonHermitian coupled chains of dipolar scatterers. Guided modes supported by these structures can exhibit an EPD in their dispersion diagram at which two or more Bloch eigenstates coalesce, in both their eigenvectors and eigenvalues. We show the emergence of a second-order modal EPD associated with the parity-time (PT) symmetry condition, at which each particle pair in the double chain exhibits balanced gain and loss. Furthermore, we also demonstrate a fourth-order EPD occurring at the band edge. Such degeneracy condition was previously referred to as a degenerate band edge in lossless anisotropic photonic crystals. Here, we rigorously show it under the occurrence of gain and loss balance for a discrete guiding system. We identify a more general regime of gain and loss balance showing that PT-symmetry is not necessary to attain EPDs. Moreover, we investigate the degree of detuning of the EPD when the geometrical symmetry or balanced condition is broken. Furthermore, we demonstrate a realistic implementation of the EPD in a coupled chain made of pairs of plasmonic nanospheres and active core-shell nanospheres at optical frequencies. These findings open unprecedented avenues toward superior light localization and transport with application to high-Q resonators utilized in sensors, filters, low-threshold switching and lasing.

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Parity-time symmetry from stacking purely dielectric and magnetic slabs

Cited by 53 publications

References 39 publications

Simultaneous realization of a coherent perfect absorber and laser by zero-index media with both gain and loss

Simultaneous realization of a coherent perfect absorber and laser by zero-index media with both gain and loss

Unidirectional reflectionless light propagation at exceptional points

Exceptional points of degeneracy andPTsymmetry in photonic coupled chains of scatterers

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