Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice

Mei, Feng; Xue, Zheng‐Yuan; Zhang, Dan‐Wei; Tian, Lin; Lee, Chaohong; Zhu, Shi-Liang

doi:10.1088/2058-9565/1/1/015006

Cited by 49 publications

(38 citation statements)

References 99 publications

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“…On the other hand, a few recent works considered the topological singular points in the synthetic dimensions [18][19][20] instead of the momentum space. The interest in considering synthetic dimensions is fueled by the ability of realizing physics in higher dimensions [18,[21][22][23][24] and the possibility of simplifying experimental designs [25]. Moreover, the possible control over the synthetic dimensions enables the experimental verification of the nontrivial topology of any closed surface enclosing the topological singular points [18,19].…”

Section: Introductionmentioning

confidence: 99%

Optical Interface States Protected by Synthetic Weyl Points

et al. 2017

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Weyl fermions have not been found in nature as elementary particles, but they emerge as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have fueled the interest in these topological points which are frequently perceived as monopoles in momentum space. Here, we report the experimental observation of generalized optical Weyl points inside the parameter space of a photonic crystal with a specially designed four-layer unit cell. The reflection at the surface of a truncated photonic crystal exhibits phase vortexes due to the synthetic Weyl points, which in turn guarantees the existence of interface states between photonic crystals and any reflecting substrates. The reflection phase vortexes have been confirmed for the first time in our experiments, which serve as an experimental signature of the generalized Weyl points. The existence of these interface states is protected by the topological properties of the Weyl points, and the trajectories of these states in the parameter space resembles those of Weyl semimetal "Fermi arc surface states" in momentum space. Tracing the origin of interface states to the topological character of the parameter space paves the way for a rational design of strongly localized states with enhanced local field.

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Section: Introductionmentioning

confidence: 99%

Optical Interface States Protected by Synthetic Weyl Points

et al. 2017

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“…The boundary condition Equation (27) allows us to simplify the above solution further into the following form:…”

Section: Methods 2: Exact Solutions Of Zero-energy Edge Statesmentioning

confidence: 99%

“…Another aspect of special interest in topological insulators are experimental implementations and demonstrations with artificial matter setups. Such demonstrations have been performed by engineering photonic crystals and metamaterials with synthetic magnetic fields and spin-orbit interactions [13][14][15][16], cold atoms and ions [17][18][19], plasmonic systems [20][21][22][23] and superconducting circuits [24][25][26][27][28][29]. These systems often employ periodic driving as a tool to engineer the effective Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Extended SSH Model: Non-Local Couplings and Non-Monotonous Edge States

Miroshnichenko²

2018

Physics

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We construct a generalized system by introducing an additional long-range hopping to the well-known Su-Schrieffer-Heeger (SSH) model. This system exhibits richer topological properties including non-trivial topological phases and associated localized edge states. We study the zero-energy edge states in detail and derive the edge-state wave functions using two different methods. Furthermore, we propose a possible setup using octupole moments optically excited on an array of dielectric particles for the realization of the system, and by adjusting the coupling strengths between neighboring particles we can control the hotspots (near-field enhancement) in such structures.

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“…In additional to photonics, both of these approaches for creating synthetic dimensions have been also extensively explored in other physical systems, such as cold atoms in optical lattices and superconducting qubits [37][38][39]. The development of the concept of synthetic dimension in photonics share some of the motivations.…”

Section: Introductionmentioning

confidence: 99%

Synthetic dimension in photonics

Yuan¹,

Lin²,

Xiao³

et al. 2018

Optica

363

259

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The physics of a photonic structure is commonly described in terms of its apparent geometric dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact possible to explore physics in a space with a dimensionality that is higher as compared to the apparent geometrical dimensionality of the structures. In this review, we discuss the basic concepts of synthetic dimension in photonics, and highlighting the various approaches towards demonstrating such synthetic dimension for fundamental physics and potential applications.

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Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice

Cited by 49 publications

References 99 publications

Optical Interface States Protected by Synthetic Weyl Points

Optical Interface States Protected by Synthetic Weyl Points

Extended SSH Model: Non-Local Couplings and Non-Monotonous Edge States

Synthetic dimension in photonics

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