Topologically protected quantum entanglement emitters

Dai, Tianxiang; Ao, Yutian; Bao, Jueming; Mao, Jianqin; Chi, Yulin; Fu, Zhaorong; You, Yilong; Chen, Xiaojiong; Zhai, Chonghao; Tang, Bo; Yang, Yan; Li, Zhihua; Yuan, Luqi; Gao, Fei; Lin, Xiao; Thompson, Mark G.; O’Brien, Jeremy L; Li, Yudong; Hu, Xiaoyong; Gong, Qihuang; Wang, J.

doi:10.1038/s41566-021-00944-2

Cited by 56 publications

(25 citation statements)

References 70 publications

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“…In particular, we show by numerical simulations as well as by direct analytical proof that the N -band Hopf index of the microring lattice is identical to the winding number of each band gap and can thus provide a complete topological classification of the insulator. Both N = 3 and N = 4 band microring lattices have been experimentally demonstrated before as AFIs [10,7,6]. Here we show that these systems can also be regarded as photonic Hopf insulators, thereby providing further insight into the nontrivial topological behaviors of 2D microring lattices and demonstrating their versatility as a nanophotonic platform for studying non-Abelian topological photonic systems.…”

Section: Introductionsupporting

confidence: 55%

“…Topological insulators are band insulators whose energy bands or band gaps are characterized by global invariants that remain unchanged in the presence of disorders. In addition to their importance in the study of solid-state systems, these materials can potentially have applications in realizing electronic [1,2,3] and photonic devices [4,5,6,7] that are robust to imperfections. The "ten-fold" classification has successfully provided a systematic way to classify a large number of topological insulators based on lattice symmetry [8].…”

Section: Introductionmentioning

confidence: 99%

“…The Hopf invariant has previously been used to characterize dynamical quenching processes of 2D cold atom topological systems, enabling the Chern number of the system under equilibrium to be experimentally measured [29,30]. In the photonics domain, there have so far been no reported realizations of Hopf insulators, although AFI insulators have arXiv:2208.07474v2 [physics.optics] 17 Aug 2022 been demonstrated using coupled waveguide arrays [15,17,16] and microring lattices [10,6,7]. However, not all AFIs are governed by Hamiltonians that are homotopic to the Hopf map and are thus Hopf insulators.…”

Section: Introductionmentioning

confidence: 99%

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N-band photonic Hopf insulators based on 2D microring lattices

Leng

Van

2022

Opt. Lett.

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Hopf insulators are topological insulators whose topological behavior arises from the nontrivial mapping from a 3D sphere to a 2D sphere, known as the Hopf map. The Hopf map, typically encountered in the study of spinor and skyrmion systems, is classified topologically by an integer invariant called the Hopf index. Here we show that due to the periodic circulation of light inside each microring, a 2D lattice of microring resonators can emulate an N -band photonic Hopf insulator with nontrivial Hopf index. In particular, we show by numerical computation and direct analytical proof that the N -band Hopf index of the microring lattice is identical to its winding number. The result shows that the Hopf index is an alternative topological invariant for classifying 2D microring photonic lattices and establishes a correspondence between the Hopf insulator phase and the anomalous Floquet insulator phase of the lattice. More generally, our work shows that 2D microring lattices can provide a versatile nanophotonic platform for studying non-Abelian topological photonic systems.

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Section: Introductionsupporting

confidence: 55%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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N-band photonic Hopf insulators based on 2D microring lattices

Leng

Van

2022

Opt. Lett.

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“…The topologically electromagnetic modes are much less affected by nanophotonic fabrication-induced disorder and can be used to avoid errors. Up to now, topological quantum light sources [203][204][205] and quantum interference process [206] on silicon photonic chips have been demonstrated.…”

Section: B Quantum Error Correctionmentioning

confidence: 99%

Silicon photonic devices for scalable quantum information applications

Feng¹,

Zhang

Wang

et al. 2022

Photon. Res.

Self Cite

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With high integration density and excellent optical properties, silicon photonics is becoming a promising platform for complete integration and large-scale optical quantum information processing. Scalable quantum information applications need photon generation and detection to be integrated on the same chip, and we have seen that various devices on the silicon photonic chip have been developed for this goal. This paper reviews the relevant research results and state-of-the-art technologies on the silicon photonic chip for scalable quantum applications. Despite the shortcomings, the properties of some components have already met the requirements for further expansion. Furthermore, we point out the challenges ahead and future research directions for on-chip scalable quantum information applications.

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“…However, for the practical implementation, instead of infinite chains, only a finite number of dimers can be fabricated. Moreover, in order to harness topology to protect optical information [13], a natural question arises on the corresponding transport properties in the supported non-trivially topological states. It is the common belief that the wavefunctions of supported edge states in a finite-size chain should remain staying localized strongly at their respective boundaries and decay exponentially in the bulk, with a penetration depth ξ depending on the contrast between coupling strengths.…”

mentioning

confidence: 99%

Probing topological protected transport in finite-sized Su-Schrieffer-Heeger chains

Chang

Torres

Manrique

et al. 2022

Preprint

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In order to transport information with topological protection, we reveal and demonstrate experimentally the existence of a characteristic length $L_c$, coined as the transport length, in the bulk size for edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. In spite of the corresponding wavefunction amplitude decays exponentially, characterized by the penetration depth ξ, the transport between two edge states remains possible even when the lattice size L is much larger than the penetration depth, i.e., ξ << L << Lc. Due to the non-zero coupling energy in a finite-size system, the supported SSH edge states are not completely isolated at the two ends, giving an abrupt change in the wave localization, manifested through the inverse participation ratio to the lattice size. To verify such a non-exponential scaling factor to the system size, we implement a chain of split-ring resonators and their complementary ones with controllable hopping strengths. By performing the measurements on the group velocity from the transmission spectroscopy of non-trivially topological edge states with pulse excitations, the transport velocity between two edge states is directly observed with the number of lattices up to 20. Along the route to harness topology to protect optical information, our experimental demonstrations provide a crucial guideline for utilizing photonic topological devices.

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Topologically protected quantum entanglement emitters

Cited by 56 publications

References 70 publications

N-band photonic Hopf insulators based on 2D microring lattices

N-band photonic Hopf insulators based on 2D microring lattices

Silicon photonic devices for scalable quantum information applications

Probing topological protected transport in finite-sized Su-Schrieffer-Heeger chains

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