Fermionic time-reversal symmetry in a photonic topological insulator

Maczewsky, Lukas J.; Höckendorf, Bastian; Kremer, Mark; Biesenthal, Tobias; Heinrich, Matthias; Alvermann, Andreas; Fehske, Holger; Szameit, Alexander

doi:10.1038/s41563-020-0641-8

Cited by 46 publications

(42 citation statements)

References 49 publications

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“…Ref. [37] documents the photonic lattice implementation of the driving protocol with fermionic time-reversal symmetry, and reports the observation of a topological phase with scatter-free counterpropagating boundary states. These states are protected by the fermionic time-reversal symmetry prescribed by the protocol, even though the underlying photonic system is of bosonic nature.…”

Section: Discussionmentioning

confidence: 99%

Universal driving protocol for symmetry-protected Floquet topological phases

2019

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We propose a universal driving protocol for the realization of symmetry-protected topological phases in 2 + 1 dimensional Floquet systems. Our proposal is based on the theoretical analysis of the possible symmetries of a square lattice model with pairwise nearest-neighbor coupling terms. Among the eight possible symmetry operators we identify the two relevant choices for topological phases with either time-reversal, chiral, or particle-hole symmetry. From the corresponding symmetry conditions on the protocol parameters, we obtain the universal driving protocol where each of the symmetries can be realized or broken individually. We provide specific parameter values for the different cases, and demonstrate the existence of symmetry-protected copropagating and counterpropagating topological boundary states. The driving protocol especially allows us to switch between bosonic and fermionic time-reversal symmetry, and thus between a trivial and non-trivial symmetry-protected topological phase, through continuous variation of a parameter. TRS CS PHS Π 2 = 1 step 1 ∆A = ∆B = ∆ ∆A = ∆ ∆C = ∆D = −∆ ∆C = −∆ this J = 2π/T J = 2π/T J = 2π/T work ∆ = 3/T ∆ = 9/T J = π/T

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Section: Discussionmentioning

confidence: 99%

Universal driving protocol for symmetry-protected Floquet topological phases

2019

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“…[125][126][127] WG photonic lattices are frequently adopted to build photonic topological structures for investigating the interplay of topology and interparticle interactions. [128][129][130][131] For example, the helicity of the evanescently coupled helical WG array would break the z-reversal symmetry in a honeycomb photonic lattice [Figs. 10(a) and 10(b)], which leads to formation of Floquet topological insulators, and topologically protected transport of visible light is observed on the lattice edges.…”

Section: Topological Physics and Quantum Information Processingmentioning

confidence: 99%

Photonic circuits written by femtosecond laser in glass: improved fabrication and recent progress in photonic devices

et al. 2021

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Integrated photonics is attracting considerable attention and has found many applications in both classical and quantum optics, fulfilling the requirements for the ever-growing complexity in modern optical experiments and big data communication. Femtosecond (fs) laser direct writing (FLDW) is an acknowledged technique for producing waveguides (WGs) in transparent glass that have been used to construct complex integrated photonic devices. FLDW possesses unique features, such as three-dimensional fabrication geometry, rapid prototyping, and single step fabrication, which are important for integrated communication devices and quantum photonic and astrophotonic technologies. To fully take advantage of FLDW, considerable efforts have been made to produce WGs over a large depth with low propagation loss, coupling loss, bend loss, and highly symmetrical mode field. We summarize the improved techniques as well as the mechanisms for writing high-performance WGs with controllable morphology of cross-section, highly symmetrical mode field, low loss, and high processing uniformity and efficiency, and discuss the recent progress of WGs in photonic integrated devices for communication, topological physics, quantum information processing, and astrophotonics. Prospective challenges and future research directions in this field are also pointed out.

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“…In our model, we add a second honeycomb layer on which an inverse copy of the driving protocol is implemented, similiar to the procedure in references [10,33]. The two layers (indicated by red circles and blue diamonds in Fig.…”

Section: Stacked Honeycomb Modelmentioning

confidence: 99%

“…In total, one period T in our model cycles through five time steps of equal length T /5 with pairwise coupling in each step. This precise control over the couplings becomes possible in photonic waveguides [10,14,15].…”

Section: Stacked Honeycomb Modelmentioning

confidence: 99%

“…Unidirectional transport emerges at an edge via chiral edge states if the bulk is topologically non-trivial. In combination with time-reversal symmetry, topology even allows for bidirectional helical transport via counterpropagating edge states [5][6][7][8][9][10]. With the discovery of anomalous Floquet topological insulators [11][12][13][14][15][16], it was found that time-periodicity leads to another unique interplay between bulk topology and edge transport in the form of quantized charge pumping [17].…”

Section: Introductionmentioning

confidence: 99%

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Real and imaginary edge states in stacked Floquet honeycomb lattices

et al. 2020

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We present a non-Hermitian Floquet model with topological edge states in real and imaginary band gaps. The model utilizes two stacked honeycomb lattices which can be related via four different types of non-Hermitian time-reversal symmetry. Implementing the correct time-reversal symmetry provides us with either two counterpropagating edge states in a real gap, or a single edge state in an imaginary gap. The counterpropagating edge states allow for either helical or chiral transport along the lattice perimeter. In stark contrast, we find that the edge state in the imaginary gap does not propagate. Instead, it remains spatially localized while its amplitude continuously increases. Our model is well-suited for realizing these edge states in photonic waveguide lattices. Graphical abstract

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Fermionic time-reversal symmetry in a photonic topological insulator

Cited by 46 publications

References 49 publications

Universal driving protocol for symmetry-protected Floquet topological phases

Universal driving protocol for symmetry-protected Floquet topological phases

Photonic circuits written by femtosecond laser in glass: improved fabrication and recent progress in photonic devices

Real and imaginary edge states in stacked Floquet honeycomb lattices

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