Asymmetric topological pumping in nonparaxial photonics

Cheng, Qingqing; Wang, Huaiqiang; Ke, Yongguan; Chen, Tao; Yu, Yi; Kivshar, Yuri S.; Lee, Chaohong; Pan, Yiming

doi:10.1038/s41467-021-27773-9

Cited by 31 publications

(16 citation statements)

References 62 publications

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“…Interestingly, apart from the paraxial Hamiltonian H A , the consideration of nonparaxiality leads to an additional term proportional to H 2 A (The lower (m, n)-order Padé approximations are listed in Table S2). Based on the previous work [33], we could conclude that the nonparaxial term − 1 2kn 0 H 2 A contributes a negative next-nearest-neighboring (NNN) coupling, accordingly, κ NNN ≈ −κ 2 / (2kn 0 ). For our microwave system with a very small wave vector k, such a negative NNN couplings cannot be neglected and reshapes the energy spectrum.…”

Section: Nonparaxial Modificationsmentioning

confidence: 72%

“…To achieve an intuitive understanding of the nonparaxial effect, we can rewrite Eq. ( 2) in an effective Schrödinger-type form that absorbs the second derivative of z in a self-consistent way [33]:…”

Section: Nonparaxial Modificationsmentioning

confidence: 99%

“…However, the paraxial approximation is not always strictly satisfied in waveguide systems, and in fact nonparaxial light is quite ubiquitous in natural photonic systems, such as spin-orbit interaction of nonparaxial light [21,22], nonparaxial Airy beams [23][24][25][26][27][28] and other nonparaxial accelerating beams [29][30][31], etc. Recently, nonparaxiality has attracted growing interests, which has been shown to play an important role in third-harmonic generation [32] and asymmetric topological pumping [33]. Nevertheless, the study of nonparaxial wave propagation and related phenomena is still in its infancy, and it still remains elusive how nonparaxiality can benefit the field of photonics.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Xie¹,

Zhou²,

Xi³

et al. 2022

Preprint

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Photonic lattices have been widely used for simulating quantum physics, owing to the similar evolutions of paraxial waves and quantum particles. However, nonparaxial wave propagations in photonic lattices break the paradigm of the quantum-optical analogy. Here, we reveal that nonparaxiality exerts stretched and compressed forces on the energy spectrum in the celebrated Aubry-André-Harper model. By exploring the mini-gaps induced by the finite size of the different effects of nonparaxiality, we experimentally present that the expansion of one band gap supports the adiabatic transfer of boundary states while Landau-Zener transition occurs at the narrowing of the other gap, whereas identical transport behaviors are expected for the two gaps under paraxial approximation. Our results not only serve as a foundation of future studies of dynamic state transfer but also inspire applications leveraging nonparaxial transitions as a new degree of freedom.

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Section: Nonparaxial Modificationsmentioning

confidence: 72%

Section: Nonparaxial Modificationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Xie¹,

Zhou²,

Xi³

et al. 2022

Preprint

Self Cite

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“…When the Floquet driving (𝑇𝑇 𝐹𝐹 ) is eliminated, the Floquet Rice-Mele model (Eq. 3) becomes its adiabatic version 26 , which can pump zero modes 27 . Likewise, the Floquet Thouless pump model allows for the transfer of anomalous π modes that are unique to periodically-driven systems.…”

Section: Near-field Measurement -mentioning

confidence: 99%

Hearing dynamical Floquet-Thouless pump of sound pulse

Xie

et al. 2022

Preprint

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Topological pumps have many implications in physics, for instance, it enables coherent transfer of energy, charge, and spin. However, a topological pump would fail for signal and information transmission since the underlying adiabatic condition is unavoidably violated with rapid modulation. Here, we construct a nonadiabatic pump in a two-color Floquet setting of topological acoustics and demonstrate a dynamical topological pumping for delivering signal pulse in both physical time (t) and propagation coordinate (z). The pulse transfer indicates a direct detection of anomalous topological invariants of periodically-driven systems. Using our fabricated acoustic waveguide arrays, we demonstrate a topological pump transport of both continuous and pulsed sound waves, proving the utility of our pump array for dynamical signal transmission and wave manipulation. Our findings can advance both fundamentals and implementations of dynamical topological pumps in driven systems.

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“…The topological nature of Thouless pumping makes it robust against modest perturbations such as disorder or interaction [5], and has generated widespread interest for its potential applications, such as current standards [6,7] and quantum state transfer [8]. While Thouless pumping remains elusive in electron-based condensed matter systems, it has been recently realized in synthetic systems featuring versatility and controllability, including ultracold atoms [9][10][11][12][13][14], photonic waveguides [15][16][17][18], acoustic waveguides [19,20], and has also been extended to higher dimensions [21,22] and momentum space [23]. Although the integer QHE, topological insulators and Thouless pumping in noninteracting systems have been well understood, some exotic topological states of matter merely exist due to inter-particle interactions [24], such as the fractional QHE [25,26], topological Mott [27] and Kondo insulators [28].…”

mentioning

confidence: 99%

Interaction-induced topological pumping in a solid-state quantum system

Tao¹,

Huang²,

Niu³

et al. 2023

Preprint

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As the basis for generating multi-particle quantum correlations, inter-particle interaction plays a crucial role in collective quantum phenomena, quantum phase transitions, and quantum information processing. It can profoundly alter the band structure of quantum many-body systems and give rise to exotic topological phenomena. Conventional topological pumping, which has been well demonstrated in driven linear or noninteracting systems, may break down in the presence of strong interaction. However, the interplay between band topology and interaction could also induce emergent topological pumping of interacting particles, but its experimental realization has proven challenging. Here we demonstrate interaction-induced topological pumping in a solid-state quantum system comprising an array of 36 superconducting qubits. With strong interaction inherent in the qubits and site-resolved controllability of the lattice potential and hopping strength, we realize the topological Thouless pumping of single and two bounded particles. Beyond these topological phenomena with linear or noninteracting counterparts, we also observe topologically resonant tunneling and asymmetric edge-state transport of interacting particles. Our work creates a paradigm for multi-particle topological effects, and provides a new pathway to the study of exotic topological phenomena, many-body quantum transport, and quantum information transfer.

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Asymmetric topological pumping in nonparaxial photonics

Cited by 31 publications

References 62 publications

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides

Hearing dynamical Floquet-Thouless pump of sound pulse

Interaction-induced topological pumping in a solid-state quantum system

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