Localized modes in a two-dimensional lattice with a pluslike geometry

Krasić, Marija Stojanović; Stojanović, Mirjana; Maluckov, Aleksandra; Maczewsky, Lukas J.; Szameit, Alexander; Stepić, Milutin

doi:10.1103/physreve.102.032207

Cited by 2 publications

(5 citation statements)

References 61 publications

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“…As it was shown in the preceding paper [7], in the absence of the flux, the energy spectrum of the uniform lattice has one fully degenerate FB that is centred at β=0 and placed between two inner and two outer, mirror symmetric DBs (Fig. 2a).…”

Section: The Energy Spectrumsupporting

confidence: 52%

“…2c and 2d. For ф=2π, the five eigenenergies of linear Hamiltonian form one FB at β=0 and four DBs, but in this case, the whole spectrum is symmetric with respect to FB, Compact localized modes In the case of the uniform flux-free plus lattice, the FB eigenbase is spanned by a set of corresponding compact, nonorthogonal, localized eigenstates -fundamental compactons [7]. They are a consequence of the destructive interference effect which is induced geometrically.…”

Section: The Energy Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

“…Here, we study a two-dimensional (2D) plus-like lattice [7], dressed by the artificial flux, which could be created by experimental techniques based on the coupledspring resonators [4] and wave-guide networks [8]. This paper is a continuation of the previous study where this lattice geometry was proposed for the first time [7]. It was found that the energy spectrum of the corresponding linear lattice consisted of one fully degenerate FB placed between two inner and two external dispersive bands (DBs).…”

Section: Introductionmentioning

confidence: 99%

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Linear compact localized modes in flux-dressed two-dimensional plus lattice

Mancic¹,

Stojanović²,

Stepić³

2022

Adv Techol

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It was studied a photonic linear two-dimensional plus lattice dressed by the artificial flux and explored the influence of the artificial gauge field on the energy band spectrum. The Aharonov-Bohm effect has caused the appearance of flat zones and for certain values of the flux, the lattice spectrum has been described by two momentum independent, fully degenerated flatbands and three dispersive bands. Three different types of fundamental non-orthogonal compactons have been obtained. The findings presented in this study could be tested in practice and they may be used for probing different artificial flatband systems, e. g. ultracold atoms in optical lattices, polariton condensates etc.

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Section: The Energy Spectrumsupporting

confidence: 52%

Section: The Energy Spectrummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Linear compact localized modes in flux-dressed two-dimensional plus lattice

Mancic¹,

Stojanović²,

Stepić³

2022

Adv Techol

Self Cite

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show abstract

“…This lattice has a FB only for a very specific ratio between coupling constants, something that can be tuned in a nonlinear regime, while keeping the compactness of the nonlinear compact mode. Very recently [64], a plus-like geometry was considered as well, a system presenting only one FB. However, nonlinearity immediately destabilizes the FB modes and dynamics can not preserve the energy localized on narrow regions as, for example, in kagome or Lieb lattices.…”

Section: Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffi Ffimentioning

confidence: 99%

Photonic flat band dynamics

Poblete

2021

Advances in Physics: X

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During the last decades, researchers of different scientific areas have investigated several systems and materials to suggest new ways of transporting and localizing light. These problems are probably main goals in any search for new configurations and new emerging properties, independently of the degree of complexity of suggested methods. Fortunately, fabrication techniques in photonics have consolidated during the last decades, allowing the experimental implementation of different theoretical ideas which were neither tested nor validated. Specifically, we will focus on recent advances in the implementation of Flat Band (FB) photonic systems. FB periodical structures have at least two bands in their linear spectrum, with one of them completely flat. This implies the emergence of linear photonic states which are completely localized in space and that can be located in different regions across the lattice. This localization occurs as a result of destructive interference, what naturally depends on the particular lattice geometry. In addition, flat band systems also posses dispersive states which make possible the observation of ballistic transport as well. Therefore, FB photonic lattices constitute an unique platform for studying localization and transport, without requiring the inclusion of any sophisticated interaction/effect, rather a smart and simple geometry.

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Localized modes in a two-dimensional lattice with a pluslike geometry

Cited by 2 publications

References 61 publications

Linear compact localized modes in flux-dressed two-dimensional plus lattice

Linear compact localized modes in flux-dressed two-dimensional plus lattice

Photonic flat band dynamics

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