Phase spectroscopy of topological invariants in photonic crystals

A. V. Poshakinskiy; A. N. Poddubny; M. Hafezi

doi:10.1103/PhysRevA.91.043830

Phase spectroscopy of topological invariants in photonic crystals

A. V. Poshakinskiy, A. N. Poddubny, M. Hafezi

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a method of measuring topological invariants of a photonic crystal through phase spectroscopy. We show how the Chern numbers can be deduced from the winding numbers of the reflection coefficient phase. An explicit proof of the existence of edge states in a system with a nonzero reflection phase winding number is given. The method is illustrated for one- and two-dimensional photonic crystals of nontrivial topology.

Original language	English
Article number	043830
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	91
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevA.91.043830
State	Published - 20 Apr 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.91.043830

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title = "Phase spectroscopy of topological invariants in photonic crystals",

abstract = "We propose a method of measuring topological invariants of a photonic crystal through phase spectroscopy. We show how the Chern numbers can be deduced from the winding numbers of the reflection coefficient phase. An explicit proof of the existence of edge states in a system with a nonzero reflection phase winding number is given. The method is illustrated for one- and two-dimensional photonic crystals of nontrivial topology.",

author = "Poshakinskiy, {A. V.} and Poddubny, {A. N.} and M. Hafezi",

note = "Publisher Copyright: {\textcopyright} 2015 American Physical Society.",

year = "2015",

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day = "20",

doi = "10.1103/PhysRevA.91.043830",

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AU - Poshakinskiy, A. V.

AU - Poddubny, A. N.

AU - Hafezi, M.

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Y1 - 2015/4/20

N2 - We propose a method of measuring topological invariants of a photonic crystal through phase spectroscopy. We show how the Chern numbers can be deduced from the winding numbers of the reflection coefficient phase. An explicit proof of the existence of edge states in a system with a nonzero reflection phase winding number is given. The method is illustrated for one- and two-dimensional photonic crystals of nontrivial topology.

AB - We propose a method of measuring topological invariants of a photonic crystal through phase spectroscopy. We show how the Chern numbers can be deduced from the winding numbers of the reflection coefficient phase. An explicit proof of the existence of edge states in a system with a nonzero reflection phase winding number is given. The method is illustrated for one- and two-dimensional photonic crystals of nontrivial topology.

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U2 - 10.1103/PhysRevA.91.043830

DO - 10.1103/PhysRevA.91.043830

M3 - مقالة

SN - 1050-2947

VL - 91

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 4

M1 - 043830

ER -

Phase spectroscopy of topological invariants in photonic crystals

Abstract

All Science Journal Classification (ASJC) codes

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