Plasmon Geometric Phase and Plasmon Hall Shift

Shi, Li-kun; Song, Justin C. W.

doi:10.1103/physrevx.8.021020

Cited by 29 publications

(27 citation statements)

References 42 publications

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“…These are quantum Hall phases but with zero field -realized in photonic crystals, circuit QED [28] and cold atom systems [29]. Important work has also developed Chern invariants for continuous photonic media with broken TRS [30][31][32][33]. Nevertheless, the discovery of true spin-1 quantized phases has remained an open problem, as well as the connection between bosonic and photonic topologies.…”

Section: Introductionmentioning

confidence: 99%

Quantum gyroelectric effect: Photon spin-1 quantization in continuum topological bosonic phases

Mechelen

Jacob

2018

Phys. Rev. A

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Topological phases of matter arise in distinct fermionic and bosonic flavors. The fundamental differences between them are encapsulated in their rotational symmetries -the spin. Although spin quantization is routinely encountered in fermionic topological edge states, analogous quantization for bosons has proven elusive. To this end, we develop the complete electromagnetic continuum theory characterizing 2+1D topological bosons, taking into account their intrinsic spin and orbital angular momentum degrees of freedom. We demonstrate that spatiotemporal dispersion (momentum and frequency dependence of linear response) captures the mattermediated interactions between bosons and is a necessary ingredient for topological phases. We prove that the bulk topology of these 2+1D phases is manifested in transverse spin-1 quantization of the photon. From this insight, we predict two unique bosonic phases -one with even parity C = ±2 and one with odd C = ±1. To understand the even parity phase C = ±2, we introduce an exactly solvable model utilizing non-local optical Hall conductivity and reveal a single gapless photon at the edge. This unidirectional photon is spin-1 helically quantized, immune to backscattering, defects, and exists at the boundary of the C = ±2 bosonic phase and any interface -even vacuum. The contrasting phenomena of transverse quantization in the bulk, but longitudinal (helical) quantization on the edge is addressed as the quantum gyro-electric effect (QGEE). We also validate our bosonic Maxwell theory by direct comparison with the supersymmetric Dirac theory of fermions. To accelerate the discovery of such bosonic phases, we suggest two new probes of topological matter with broken time-reversal symmetry: momentum-resolved electron energy loss spectroscopy and cold atom near-field measurement of non-local optical Hall conductivity.

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Section: Introductionmentioning

confidence: 99%

Quantum gyroelectric effect: Photon spin-1 quantization in continuum topological bosonic phases

Mechelen

Jacob

2018

Phys. Rev. A

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“…The gradient of these two kinds of geometric phases can give a unified description of SHEL . More recently, anomalous plasmon geometric phases are proposed to explain nonreciprocal plasmon Hall shift …”

Section: Introductionmentioning

confidence: 99%

Enhanced Spin Hall Effect of Light in Spheres with Dual Symmetry

Gao

Shi

Miroshnichenko

et al. 2018

Laser & Photonics Reviews

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The spin–orbit interaction (SOI) of light is usually weak in dielectric particles and recently is enhanced in plasmonic structures. This Letter Article shows that strong SOI can arise in dielectric particles with dual symmetry, resulting in enhanced spin Hall effect of scattered light. It reveals the relationship between spin Hall shift and dual symmetry. The interference between electric and magnetic dipolar modes plays an important role in enhancing the spin Hall shift. Strong SOI is demonstrated by the optical singularity of the orbital angular momentum. The results can find potential applications in dielectric‐based photonic devices, such as optical sensing and manipulation of subwavelength nanoparticles.

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“…Unification of these geometric phases for bosons and fermions was shown for massive 3D particles using a relativistic quantum field theory [35]. In this paper, our focus is massless 3D particles and topologically massive 2D particles [36][37][38], as well as the direct demonstration of gauge discontinuities in Maxwell's and Weyl's equations. Our derivation does not utilize quantum field theoretic techniques and appeals only to the spin representation of the two particles.…”

Section: Introductionmentioning

confidence: 94%

Photonic Dirac monopoles and skyrmions: spin-1 quantization [Invited]

Mechelen¹,

Jacob²

2018

Opt. Mater. Express

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We introduce the concept of a photonic Dirac monopole, appropriate for photonic crystals, metamaterials and 2D materials, by utilizing the Dirac-Maxwell correspondence. We start by exploring vacuum where the reciprocal momentum space of both Maxwell's equations and the massless Dirac equation (Weyl equation) possess a magnetic monopole. The critical distinction is the nature of magnetic monopole charges, which are integer valued for photons but half-integer for electrons. This inherent difference is directly tied to the spin and ultimately connects to the bosonic or fermionic behavior. We also show the presence of photonic Dirac strings, which are line singularities in the underlying Berry gauge potential. While the results in vacuum are intuitively expected, our central result is the application of this topological Dirac-Maxwell correspondence to 2D photonic (bosonic) materials, as opposed to conventional electronic (fermionic) materials. Intriguingly, within dispersive matter, the presence of photonic Dirac monopoles is captured by nonlocal quantum Hall conductivity -i.e. a spatiotemporally dispersive gyroelectric constant. For both 2D photonic and electronic media, the nontrivial topological phases emerge in the context of massive particles with broken time-reversal symmetry. However, the bulk dynamics of these bosonic and fermionic Chern insulators are characterized by spin-1 and spin-1 ⁄2 skyrmions in momentum space, which have fundamentally different interpretations. This is exemplified by their contrasting spin-1 and spin-1 ⁄2 helically quantized edge states. Our work sheds light on the recently proposed quantum gyroelectric phase of matter and the essential role of photon spin quantization in topological bosonic phases. * zjacob@purdue.edu arXiv:1806.09879v3 [physics.optics]

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Plasmon Geometric Phase and Plasmon Hall Shift

Cited by 29 publications

References 42 publications

Quantum gyroelectric effect: Photon spin-1 quantization in continuum topological bosonic phases

Quantum gyroelectric effect: Photon spin-1 quantization in continuum topological bosonic phases

Enhanced Spin Hall Effect of Light in Spheres with Dual Symmetry

Photonic Dirac monopoles and skyrmions: spin-1 quantization [Invited]

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