16 Feb 2011 | Mohammad Hafezi *,1, Eugene E. Demler,2, Mikhail D. Lukin,2 and Jacob M. Taylor1
This paper presents a method to create robust photonic devices using topological protection, inspired by quantum Hall and quantum spin Hall effects in condensed matter physics. The authors demonstrate how to implement topological protection in optical systems using a two-dimensional network of coupled resonator optical waveguides (CROW). By engineering the system to mimic a 2D magnetic tight-binding Hamiltonian, they show that key features of quantum Hall systems, such as the Hofstadter butterfly and robust edge state transport, can be achieved in photonic systems. The topological protection enables the creation of photonic delay lines that are highly resistant to disorder and fabrication errors.
The system is based on a 2D array of optical ring microresonators that support degenerate clockwise and counter-clockwise modes. These modes are treated as components of a pseudo-spin, with clockwise modes corresponding to pseudo-spin down and counter-clockwise modes to pseudo-spin up. The resonators are coupled via waveguides, and the phase difference between the waveguides is engineered to create a synthetic magnetic field. This synthetic magnetic field leads to a Hamiltonian that resembles the quantum spin Hall effect, with a spin-dependent effective magnetic field.
The authors show that the topological protection in this system allows for robust edge state transport, which is immune to disorder. This property is demonstrated through optical spectroscopy measurements, where the system's reflectivity is used to probe the transport properties. The results show that the energy spectrum of the system, known as the Hofstadter butterfly, can be measured by analyzing the system's reflectivity.
The paper also discusses the application of this system to photonic delay lines. The transport properties of edge states provide a robust alternative to conventional CROW systems, with the advantage of being less sensitive to disorder. The edge states carry light along the perimeter of the system and are immune to scattering, making them ideal for photonic delay lines. The system's performance is compared to conventional CROW systems, showing that edge states provide more stable and reliable transport.
The authors also investigate the effect of disorder on the system, showing that edge states are robust against disorder, while conventional CROW systems suffer from localization effects. The results demonstrate that edge states maintain their transport properties even in the presence of disorder, making them a promising candidate for photonic applications.
The paper concludes by discussing the potential applications of this system in photonic technologies, including the development of robust photonic devices and the exploration of fundamental quantum Hall phenomena. The system's ability to simulate different types of Hamiltonians at room temperature and its potential for topological quantum computation are highlighted as key advantages. The study provides a new platform for exploring topological photonic systems and their applications in photonic technologies.This paper presents a method to create robust photonic devices using topological protection, inspired by quantum Hall and quantum spin Hall effects in condensed matter physics. The authors demonstrate how to implement topological protection in optical systems using a two-dimensional network of coupled resonator optical waveguides (CROW). By engineering the system to mimic a 2D magnetic tight-binding Hamiltonian, they show that key features of quantum Hall systems, such as the Hofstadter butterfly and robust edge state transport, can be achieved in photonic systems. The topological protection enables the creation of photonic delay lines that are highly resistant to disorder and fabrication errors.
The system is based on a 2D array of optical ring microresonators that support degenerate clockwise and counter-clockwise modes. These modes are treated as components of a pseudo-spin, with clockwise modes corresponding to pseudo-spin down and counter-clockwise modes to pseudo-spin up. The resonators are coupled via waveguides, and the phase difference between the waveguides is engineered to create a synthetic magnetic field. This synthetic magnetic field leads to a Hamiltonian that resembles the quantum spin Hall effect, with a spin-dependent effective magnetic field.
The authors show that the topological protection in this system allows for robust edge state transport, which is immune to disorder. This property is demonstrated through optical spectroscopy measurements, where the system's reflectivity is used to probe the transport properties. The results show that the energy spectrum of the system, known as the Hofstadter butterfly, can be measured by analyzing the system's reflectivity.
The paper also discusses the application of this system to photonic delay lines. The transport properties of edge states provide a robust alternative to conventional CROW systems, with the advantage of being less sensitive to disorder. The edge states carry light along the perimeter of the system and are immune to scattering, making them ideal for photonic delay lines. The system's performance is compared to conventional CROW systems, showing that edge states provide more stable and reliable transport.
The authors also investigate the effect of disorder on the system, showing that edge states are robust against disorder, while conventional CROW systems suffer from localization effects. The results demonstrate that edge states maintain their transport properties even in the presence of disorder, making them a promising candidate for photonic applications.
The paper concludes by discussing the potential applications of this system in photonic technologies, including the development of robust photonic devices and the exploration of fundamental quantum Hall phenomena. The system's ability to simulate different types of Hamiltonians at room temperature and its potential for topological quantum computation are highlighted as key advantages. The study provides a new platform for exploring topological photonic systems and their applications in photonic technologies.