PT-symmetric interface states based on synthetic 4D topological space (Conference Presentation)

Qiang Wang; Kun Ding; Hui Liu; Shining Zhu; C. T. Chan

doi:10.1117/12.2321010

17 September 2018 PT-symmetric interface states based on synthetic 4D topological space (Conference Presentation)

Qiang Wang, Kun Ding, Hui Liu, Shining Zhu, C. T. Chan

Proceedings Volume 10721, Active Photonic Platforms X; 1072113 (2018) https://doi.org/10.1117/12.2321010
Event: SPIE Nanoscience + Engineering, 2018, San Diego, California, United States

Abstract

In recent years, topological insulator and topological semimetal have drawn much attention, due to the novel properties such as robust edge states, chiral anomaly, diverging local density of states and so on. However, the dimension of momentum space is less than three, which limits the exploration the physics in higher dimensions. Take advantage of the concept of synthetic dimension, we can construct higher dimensional spaces to realize more amazing phenomenon including Weyl surface in 5D space, 4D Quantum Hall effect and so on. Some works also focused on probing the topological physics of non-Hermitian systems, which leads to additional novel consequences such as the transformation of the Weyl point into an exceptional ring when introducing a non-Hermitian term. In this work, we give a flexible platform to investigate the PT-symmetric topological physics in 4D synthetic space. Here, based on 1D photonic crystal with a complex seven-layer unit cell, we construct a 4D synthetic space with two momentum vectors and two geometric parameters. Before introducing the non-Hermitian term, the system shows a 2D Nodal-hyperedge in 4D space. If we add gain and loss in to the PCs but preserving PT symmetry, the 2D hyperedge will be transformed into a 3D exceptional hypersurface, on which the Hamiltonian becomes defective. Such 3D exceptional hypersurface also guarantees the unidirectional reflectionless resonance in 1D PCs even with oblique incidence. Furthermore, we also find the existence of PT-symmetric interface states in our systems, which will give rise to the strong field enhancement, and is quite useful in nonlinear and quantum optics.

Conference Presentation

Citation Download Citation

Qiang Wang, Kun Ding, Hui Liu, Shining Zhu, and C. T. Chan "PT-symmetric interface states based on synthetic 4D topological space (Conference Presentation)", Proc. SPIE 10721, Active Photonic Platforms X, 1072113 (17 September 2018); https://doi.org/10.1117/12.2321010

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
PRESENTATION

WATCH
PRESENTATION SAVE TO MY LIBRARY

GET CITATION

KEYWORDS

Interfaces

Physics

Complex systems

Lead

Metalloids

Nonlinear optics

Photonic crystals

Show All Keywords

Keywords/Phrases

Search In:

Publication Years