Spectral imaging of topological edge states in plasmonic waveguide arrays

Bleckmann, Felix; Cherpakova, Zlata; Lindén, Stefan; Alberti, Andrea

doi:10.1103/physrevb.96.045417

Cited by 68 publications

(50 citation statements)

References 36 publications

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“…3 we depict the third gap as a function of f and a for b = 2. 13. When either f = 1 or a = 2.13 the gap closes, which is consistent with our previous results.…”

Section: B Photonic Bands: Analytical Resultssupporting

confidence: 92%

Topological photonic Tamm states and the Su-Schrieffer-Heeger model

et al. 2020

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In this paper we study the formation of topological Tamm states at the interface between a semi-infinite one-dimensional photonic-crystal and a metal. We show that when the system is topologically non-trivial there is a single Tamm state in each of the band-gaps, whereas if it is topologically trivial the band-gaps host no Tamm states. We connect the disappearance of the Tamm states with a topological transition from a topologically non-trivial system to a topologically trivial one. This topological transition is driven by the modification of the dielectric functions in the unit cell. Our interpretation is further supported by an exact mapping between the solutions of Maxwell's equations and the existence of a tight-binding representation of those solutions. We show that the tight-binding representation of the 1D photonic crystal, based on Maxwell's equations, corresponds to a Su-Schrieffer-Heeger-type model (SSH-model) for each set of pairs of bands. Expanding this representation near the band edge we show that the system can be described by a Dirac-like Hamiltonian. It allows one to characterize the topology associated with the solution of Maxwell's equations via the winding number. In addition, for the infinite system, we provide an analytical expression for the photonic bands from which the band-gaps can be computed. arXiv:2001.10628v1 [cond-mat.mes-hall]

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“…3 we depict the third gap as a function of f and a for b = 2. 13. When either f = 1 or a = 2.13 the gap closes, which is consistent with our previous results.…”

Section: B Photonic Bands: Analytical Resultssupporting

confidence: 92%

Topological photonic Tamm states and the Su-Schrieffer-Heeger model

et al. 2020

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“…Recently, such experiments have been performed using cold atoms in optical lattices [9][10][11][12][13][14], and using light [15][16][17] or microwaves [18] in photonic crystal-like structures. These setups are ideal model systems for topological insulators, often employing periodic driving as a tool to engineer the effective Hamiltonian.…”

mentioning

confidence: 99%

“…One possibility consists in using photonic devices, modifying the experimental scheme of Refs. [16,17] based on evanescently coupled waveguides, to include periodic dynamics. Instead of continuous losses from the fast modulation of the waveguides [16], discrete loss operations after each driving cycle can be implemented by discrete beam-splitter elements, e.g., by laser writing in glass substrates [33].…”

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confidence: 99%

Detecting topological invariants in chiral symmetric insulators via losses

2017

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We show that the bulk winding number characterizing one-dimensional topological insulators with chiral symmetry can be detected from the displacement of a single particle, observed via losses. Losses represent the effect of repeated weak measurements on one sublattice only, which interrupt the dynamics periodically. When these do not detect the particle, they realize negative measurements. Our repeated measurement scheme covers both time-independent and periodically driven (Floquet) topological insulators, with or without spatial disorder. In the limit of rapidly repeated, vanishingly weak measurements, our scheme describes non-Hermitian Hamiltonians, as the lossy Su-Schrieffer-Heeger model of Rudner and Levitov, [Phys. Rev. Lett. 102, 065703 (2009)]. We find, contrary to intuition, that the time needed to detect the winding number can be made shorter by decreasing the efficiency of the measurement. We illustrate our results on a discrete-time quantum walk, and propose ways of testing them experimentally. DOI: 10.1103/PhysRevB.95.201407 Topological insulators [1] are materials whose bulk is gapped, and is characterized by a topological invariant. Depending on the dimensionality of the system and the discrete symmetries it possesses, this invariant can be a Chern number, a winding number, or some other mathematical index [2,3]. The bulk invariant predicts a number of robust low-energy eigenstates at the edges via the so-called bulk-boundary correspondence [4,5]. In one dimension, these are bound states at the ends of the topological insulator wire. The energy of these states is protected against perturbations due to either particle-hole symmetry, as for the Majorana fermions [6] which might be used to store qubits, or to chiral (sublattice) symmetry, as for bound states at domain walls in polyacetylene molecules [7]. Hence, bulk topological invariants control the robust properties of topological insulators.Of special interest are experiments implementing topological insulators with artificial matter setups, where bulk topological invariants can not only be inferred from the presence of edge states, but also measured directly [8]. Recently, such experiments have been performed using cold atoms in optical lattices [9][10][11][12][13][14], and using light [15][16][17] or microwaves [18] in photonic crystal-like structures. These setups often employ periodic driving as a tool to engineer topological phases. Topological invariants are detected by measuring the displacement of a cloud of particles [9,10], or by interferometric schemes [19]. Alternatively, the topological invariant can be observed by attaching leads to the system, and measuring the reflection amplitudes for scattering off the bulk [20][21][22][23]. This last approach has recently been applied to detect winding numbers in a one-dimensional quantum walk, an ideal system for periodically driven topological insulators [24].Topological invariants can also appear in non-Hermitian systems, as predicted by Rudner and Levitov [25], and recently realized expe...

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“…Since the technology is fairly new, there are no explicit quantum‐enhanced imaging experiments yet. Nevertheless, there are plenty of experimental applications of low light imaging at high quality level …”

Section: Quantum Imaging Device Developmentmentioning

confidence: 99%

“…Nevertheless, there are plenty of experimental applications of low light imaging at high quality level. [177][178][179]…”

Section: Scientific Complementary Metal-oxide Semiconductormentioning

confidence: 99%

Perspectives for Applications of Quantum Imaging

Basset

Setzpfandt

Steinlechner

et al. 2019

Laser & Photonics Reviews

127

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Quantum imaging is a multifaceted field of research that promises highly efficient imaging in extreme spectral ranges as well as ultralow‐light microscopy. Since the first proof‐of‐concept experiments over 30 years ago, the field has evolved from highly fascinating academic research to the verge of demonstrating practical technological enhancements in imaging and microscopy. Here, the aim is to give researchers from outside the quantum optical community, in particular those applying imaging technology, an overview of several promising quantum imaging approaches and evaluate both the quantum benefit and the prospects for practical usage in the near future. Several use case scenarios are discussed and a careful analysis of related technology requirements and necessary developments toward practical and commercial application is provided.

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Spectral imaging of topological edge states in plasmonic waveguide arrays

Cited by 68 publications

References 36 publications

Topological photonic Tamm states and the Su-Schrieffer-Heeger model

Topological photonic Tamm states and the Su-Schrieffer-Heeger model

Detecting topological invariants in chiral symmetric insulators via losses

Perspectives for Applications of Quantum Imaging

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