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Robust optical delay lines via topological protection (1102.3256v1)

Published 16 Feb 2011 in quant-ph and cond-mat.mes-hall

Abstract: Phenomena associated with topological properties of physical systems are naturally robust against perturbations. This robustness is exemplified by quantized conductance and edge state transport in the quantum Hall and quantum spin Hall effects. Here we show how exploiting topological properties of optical systems can be used to implement robust photonic devices. We demonstrate how quantum spin Hall Hamiltonians can be created with linear optical elements using a network of coupled resonator optical waveguides (CROW) in two dimensions. We find that key features of quantum Hall systems, including the characteristic Hofstadter butterfly and robust edge state transport, can be obtained in such systems. As a specific application, we show that the topological protection can be used to dramatically improve the performance of optical delay lines and to overcome limitations related to disorder in photonic technologies.

Citations (1,173)

Summary

  • The paper shows that employing synthetic magnetic fields in a 2D CROW lattice produces topologically protected edge states to mitigate disorder.
  • It utilizes a tight-binding Hamiltonian model to simulate quantum spin Hall-like behavior, ensuring high transmission and minimal scattering losses.
  • The work paves the way for advanced photonic devices in telecommunications and quantum computing by significantly enhancing optical delay line performance.

Robust Optical Delay Lines via Topological Protection

The intersection of photonics and topological physics opens promising avenues for developing devices resilient to fabrication imperfections and environmental disturbances. This paper presents a method to harness the topological properties of optical systems, leveraging the robustness associated with quantum spin Hall (QSH) effects to create efficient, disorder-resistant photonic devices — particularly optical delay lines.

The authors propose using a network of coupled resonator optical waveguides (CROW) to instigate quantum spin Hall-like physics. Each resonator functions similarly to a topological insulator, supporting spin-dependent modes analogous to electronic systems. By implementing a synthetic magnetic field via phase imbalances in the waveguides, the authors replicate the properties of a quantum Hall system, including the establishment of edge states that exhibit immunity to disorder.

Experimental Setup and Theoretical Framework

The crux of the experimental setup is a two-dimensional lattice comprising optical ring microresonators configured to support two types of modes: clockwise and counter-clockwise. These produce spin-up and spin-down components, acting as pseudo-spins in the system. The model effectively simulates a tight-binding Hamiltonian for charged particles on a discrete lattice with an effective magnetic field. Importantly, this does not infringe upon time-reversal symmetry, making it distinct from conventional implementations requiring explicit symmetry breaking.

The concept draws from known robustness in quantum Hall systems, where edge states enable unique transport characteristics. Photons acquire a spin-dependent phase shift as they traverse the system, akin to the Aharonov-Bohm effect for electrons. This phase accumulation leads to topologically protected states that can traverse boundaries and avoid backscattering from defects or variations in the lattice structure.

Implications for Optical Delay Lines

The ramifications of applying such topological principles to photonics, especially for optical delay lines, are manifold. Conventional 1D CROW systems are limited by sensitivity to fabrication imperfections and scattering losses. By demonstrating the viability of topologically protected states in a 2D CROW lattice, the authors illustrate how quantum spin Hall effects endow these devices with significant immunity to disorders.

The paper quantitatively assesses the performance enhancements, indicating that the bandwidth-delay product for edge states can significantly surpass that of typical CROW systems without succumbing to losses from disorder. These edge states maintain high transmission efficiency and minimal sensitivity to disorder, ensuring consistent delay even as device size increases, which is crucial for applications needing reliable long-duration photonic delays.

Potential and Future Directions

Implementing the described topological systems on photonic chips promises advances in telecommunications and quantum information processing, where stable and scalable delay lines are critical. Moreover, the work paves the way for exploring more complex topological phenomena in photonic systems, such as non-abelian statistics and fractional quantum Hall effects — typically elusive in electronic counterparts. These advances could spur new computational paradigms and robust photonic circuitry that leverage the inherently stable nature of topologically protected states.

Overall, this paper articulates a compelling vision for integrating topological principles into photonic device design, thus potentially reshaping how photonic systems are developed and applied in advanced technological ecosystems.

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