Spectral photonic lattices with complex long-range coupling

Bell, Bryn; Wang, Kai; Solntsev, Alexander S.; Neshev, Dragomir N.; Sukhorukov, Andrey A.; Eggleton, Benjamin J.

doi:10.1364/optica.4.001433

Cited by 117 publications

(110 citation statements)

References 24 publications

Supporting

Mentioning

108

Contrasting

Unclassified

Order By: Relevance

“…Such a flexibility is unique to synthetic space and is unmatched in either solid-state materials or photonic crystals. As an illustration, long-range coupling can be achieved by using a modulation with a frequency that is a multiple of the FSR [38,47]. Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Moreover, the concept is interesting for applications such as unidirectional frequency translation, quantum information processing, nonreciprocal photon transport and spectral shaping of light [27][28][29][30][31][32][33][34][35][36][37]. While the frequency dimension has been theoretically investigated in great detail, mostly using the band structure in synthetic space, there is a dearth of experimental realizations of this concept [32,38]. Related to but different from our work, the band structure has been indirectly inferred from transport measurements in the synthetic temporal di-mension, using pulses in fiber loops to simulate photonic lattices [39].We realize the synthetic dimension in a ring resonator containing an electro-optic modulator (EOM).…”

mentioning

confidence: 99%

See 1 more Smart Citation

Experimental Band Structure Spectroscopy along the Synthetic Dimension

Dutt¹,

Minkov²,

Lin³

et al. 2019

Conference on Lasers and Electro-Optics

View full text Add to dashboard Cite

In recent years there has been significant interest in the concepts of synthetic dimensions, where one couples the internal degrees of freedom of a particle to form higher-dimensional lattices in lower-dimensional physical structures. For these systems the concept of band structure along the synthetic dimension plays a central role in their theoretical description. Here we provide the first direct experimental measurement of the band structure along the synthetic dimension. By dynamically modulating a ring resonator at frequencies commensurate with its mode spacing, we realize a periodically driven system with a synthetic frequency dimension lattice. The strength and range of the couplings along the lattice can be dynamically reconfigured by changing the amplitude and frequency of modulation. We show theoretically and demonstrate experimentally that time-resolved transmission measurements of this system result in a direct "read out" of its band structure. We also show how long-range coupling, photonic gauge potentials and nonreciprocal bands can be realized in the system by simply incorporating additional frequency drives, enabling great flexibility in engineering the band structure.The concept of band structure for periodic systems plays a central role in understanding the electronic properties of solid-state systems as well as the photonic properties of photonic crystals and metamaterials [1]. Recently, there has been significant interest in creating analogous periodic systems not in real space but in synthetic space, allowing one to explore higher-dimensional physics with a structure of fewer physical dimensions [2][3][4][5][6][7][8][9][10][11][12]. Synthetic dimensions are internal degrees of freedom of a system that can be configured into a lattice, for example the hyperfine spin states in cold atoms [4][5][6][13][14][15][16][17], the orbital angular momentum of photons [7,[18][19][20], or the modes at different frequencies of optical ring resonators [8,9]. These systems are again characterized by a band structure in synthetic space, but an experimental demonstration of directly measuring this band structure is lacking.In this work we provide the first direct experimental demonstration of a band structure in the synthetic dimension. For this purpose, we consider a particular construction of a synthetic space -the equidistant frequency modes of a ring resonator. This synthetic frequency dimension enables one to study fundamental physics such as the effective gauge field and magnetic field for photons, 2D topological photonics in a 1D array, and 3D topological photonics in planar structures [8,9,[21][22][23][24][25][26]. Moreover, the concept is interesting for applications such as unidirectional frequency translation, quantum information processing, nonreciprocal photon transport and spectral shaping of light [27][28][29][30][31][32][33][34][35][36][37]. While the frequency dimension has been theoretically investigated in great detail, mostly using the band structure in synthetic space, there is a dearth of e...

show abstract

Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

Experimental Band Structure Spectroscopy along the Synthetic Dimension

Dutt¹,

Minkov²,

Lin³

et al. 2019

Conference on Lasers and Electro-Optics

View full text Add to dashboard Cite

show abstract

“…This is especially convenient because synthetic gauge fields and nonlocal hopping amplitudes are easier to implement in synthetic space than real space . Three nonlocal hoppings would be necessary per unit cell (two for the rungless ladder), represented with dotted lines in Figure 6b.…”

Section: Creutz‐hubbard Laddermentioning

confidence: 99%

Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders

2019

View full text Add to dashboard Cite

The latest advances in the field of photonics have enabled the simulation of an increasing number of quantum models in photonic systems, turning them into an important tool for realizing exotic quantum phenomena. In this paper, different ways in which these systems can be used to study the interplay between flat band dynamics, topology, and interactions in a well‐known quasi‐1D topological insulator—the Creutz ladder—are suggested. First, a simple experimental protocol is proposed to observe the Aharonov–Bohm localization in the noninteracting system, and the different experimental setups that might be used for this are reviewed. The inclusion of a repulsive Hubbard‐type interaction term, which can give rise to repulsively bound pairs termed doublons, is then considered. The dynamics of these quasiparticles are studied for different points of the phase diagram, including a regime in which pairs are localized and particles are free to move. Finally, a scheme for the photonic implementation of a two‐particle bosonic Creutz‐Hubbard model is presented.

show abstract

“…However, a design principle to achieve such HD points is still missing. Concomitantly, we are facing a great experimental control of lattices formations [21][22][23], where threefold band degeneracy has been experimentally observed in a photonic [24] and in a cold atoms [25] lattices. Additionally, state-of-the-art organic chemistry allows for a combination of different designed molecules, yielding nontrivial structures [26][27][28].…”

mentioning

confidence: 99%

“…Long range couplings pNN. Although lattices can be designed to have only local couplings by tuning the distance between the sites, for instance in photonic lattice constructions [21,22] and designed MOF systems [27,28], long range interactions may break the site-permutation symmetries. Indeed, for most of the lattices studied here, that is the case, with the exception of the kagome and the snub-hexagonal lattices.…”

mentioning

confidence: 99%

High-degeneracy points protected by site-permutation symmetries

Lima

Ferreira

2020

Phys. Rev. B

View full text Add to dashboard Cite

Space group symmetries dictate the energy degeneracy of quasiparticles (e.g., electronic, photonic) in crystalline structures. For spinless systems, there can only be double or triple degeneracies protected by these symmetries, while other degeneracies are usually taken as accidental. In this Letter we show that it is possible to design higher degeneracies exploring site permutation symmetries. These design principles are shown to be satisfied in previously studied lattices, and new structures are proposed with three, four and five degeneracy points for spinless systems. The results are general and apply to different quasiparticle models. Here, we focus on a tight-binding approach for the electronic case as a proof of principle. The resulting high-degeneracy points are protected by the site-permutation symmetries, yielding pseudospin-1 and -2 Dirac fermions. The strategy proposed here can be used to design lattices with high-degeneracy points in electronic (e.g. metal-organic frameworks), photonic, phononic, magnonic and cold-atom systems.

show abstract

Spectral photonic lattices with complex long-range coupling

Cited by 117 publications

References 24 publications

Experimental Band Structure Spectroscopy along the Synthetic Dimension

Experimental Band Structure Spectroscopy along the Synthetic Dimension

Topology and Interactions in the Photonic Creutz and Creutz‐Hubbard Ladders

High-degeneracy points protected by site-permutation symmetries

Contact Info

Product

Resources

About