skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A three-dimensional photonic topological insulator using a two-dimensional ring resonator lattice with a synthetic frequency dimension

Journal Article · · Science Advances
ORCiD logo [1];  [2]; ORCiD logo [3]; ORCiD logo [2];  [4]
  1. Stanford Univ., CA (United States). Dept. of Applied Physics
  2. Stanford Univ., CA (United States). Dept. of Physics
  3. Stanford Univ., CA (United States). Ginzton Lab.
  4. Stanford Univ., CA (United States). Ginzton Lab. Dept. of Electrical Engineering

In the development of topological photonics, achieving three-dimensional topological insulators is of notable interest since it enables the exploration of new topological physics with photons and promises novel photonic devices that are robust against disorders in three dimensions. Previous theoretical proposals toward three-dimensional topological insulators use complex geometries that are challenging to implement. On the basis of the concept of synthetic dimension, we show that a two-dimensional array of ring resonators, which was previously demonstrated to exhibit a two-dimensional topological insulator phase, automatically becomes a three-dimensional topological insulator when the frequency dimension is taken into account. Moreover, by modulating a few of the resonators, a screw dislocation along the frequency axis can be created, which provides robust one-way transport of photons along the frequency axis. Demonstrating the physics of screw dislocation in a topological system has been a substantial challenge in solid-state systems. Our work indicates that the physics of three-dimensional topological insulators can be explored in standard integrated photonic platforms, leading to opportunities for novel devices that control the frequency of light.

Research Organization:
Stanford Univ., CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); US Air Force Office of Scientific Research (AFOSR); National Science Foundation (NSF)
Grant/Contract Number:
AC02-76SF00515; FA9550-17-1-0002; CBET-1641069
OSTI ID:
1490441
Journal Information:
Science Advances, Vol. 4, Issue 10; ISSN 2375-2548
Publisher:
AAASCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 52 works
Citation information provided by
Web of Science

References (54)

A new theory on scattering of electrons due to spiral dislocations journal June 1978
Non-reciprocal phase shift induced by an effective magnetic flux for light journal August 2014
Topological characterization of periodically driven quantum systems journal December 2010
Topological insulators and superconductors journal October 2011
Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal August 1982
Strong side of weak topological insulators journal July 2012
Photonic Floquet topological insulators journal April 2013
Multi-frequency finite-difference frequency-domain algorithm for active nanophotonic device simulations journal January 2016
Colloquium: Topological insulators journal November 2010
Symmetry-protected topological photonic crystal in three dimensions journal January 2016
Hofstadter butterfly as quantum phase diagram journal December 2001
Network models of photonic Floquet topological insulators journal February 2014
Robust reconfigurable electromagnetic pathways within a photonic topological insulator journal February 2016
Imaging topological edge states in silicon photonics journal October 2013
Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide journal December 2014
Robust optical delay lines with topological protection journal August 2011
Guiding Electromagnetic Waves around Sharp Corners: Topologically Protected Photonic Transport in Metawaveguides journal March 2015
Realizing effective magnetic field for photons by controlling the phase of dynamic modulation journal October 2012
Ordering, metastability and phase transitions in two-dimensional systems journal April 1973
Photonic topological insulators journal December 2012
Three-dimensional all-dielectric photonic topological insulator journal December 2016
Topological defects in Floquet systems: Anomalous chiral modes and topological invariant journal April 2017
Photonic gauge potential in a system with a synthetic frequency dimension journal January 2016
Topological defects and gapless modes in insulators and superconductors journal September 2010
Observation of unidirectional backscattering-immune topological electromagnetic states journal October 2009
Artificial gauge field for photons in coupled cavity arrays journal October 2011
Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension journal December 2016
One-dimensional topologically protected modes in topological insulators with lattice dislocations journal March 2009
Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics journal April 2016
Guide-wave Photonic Pulling Force Using One-way Photonic Chiral Edge States conference January 2015
Photonic Floquet topological insulators conference September 2013
Photonic Topological Insulators journal January 2013
Topological Defects and Gapless Modes in Insulators and Superconductors text January 2010
Topological characterization of periodically-driven quantum systems text January 2010
Robust optical delay lines via topological protection text January 2011
The strong side of weak topological insulators text January 2011
Photonic Floquet Topological Insulators text January 2012
Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide text January 2014
Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators text January 2015
Photonic gauge potential in a system with a synthetic frequency dimension text January 2015
Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry text January 2005
Topological Insulators in Three Dimensions text January 2006
Hofstadter butterfly as Quantum phase diagram text January 2001
Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry journal January 2008
Photonic Aharonov-Bohm Effect Based on Dynamic Modulation journal April 2012
Optical Resonator Analog of a Two-Dimensional Topological Insulator journal May 2013
Multimode One-Way Waveguides of Large Chern Numbers journal September 2014
Observation of Berry's Geometrical Phase in Electron Diffraction from a Screw Dislocation journal December 1988
Single-Particle Quantum States in a Crystal with Topological Defects journal March 1998
Topological Insulators in Three Dimensions journal March 2007
High-speed, low-loss silicon Mach–Zehnder modulators with doping optimization journal January 2013
Haldane quantum Hall effect for light in a dynamically modulated array of resonators journal January 2016
Artificial Gauge Field for Photons in Coupled Cavity Arrays text January 2011
Network Models of Photonic Floquet Topological Insulators text January 2013

Cited By (9)

Exceptional cones in 4D parameter space journal January 2020
Topological photonics journal March 2019
Realization of a three-dimensional photonic topological insulator journal January 2019
Experimental band structure spectroscopy along a synthetic dimension journal July 2019
Topological quantum matter in synthetic dimensions journal April 2019
Synthetic Gauge Field for Two-Dimensional Time-Multiplexed Quantum Random Walks journal October 2019
Photonic Gauge Potential in One Cavity with Synthetic Frequency and Orbital Angular Momentum Dimensions journal March 2019
A synthetic gauge field for two-dimensional time-multiplexed quantum random walks text January 2019
Floquet Chern Insulators of Light text January 2019

Figures / Tables (5)


Similar Records

Holographic Nano‐Imaging of Terahertz Dirac Plasmon Polaritons in Topological Insulator Antenna Resonators
Journal Article · Thu Dec 28 00:00:00 EST 2023 · Small · OSTI ID:1490441

TU-EF-BRA-04: Into 2, 3, and 4 Dimensions
Journal Article · Mon Jun 15 00:00:00 EDT 2015 · Medical Physics · OSTI ID:1490441

Launching a new dimension with 3D magnetic nanostructures
Journal Article · Tue Jan 14 00:00:00 EST 2020 · APL Materials · OSTI ID:1490441