Nonreciprocal lasing in topological cavities of arbitrary geometries

Bahari, Babak; Ndao, Abdoulaye; Vallini, Felipe; Amili, Abdelkrim El; Fainman, Yeshaiahu; Kanté, Boubacar

doi:10.1126/science.aao4551

Cited by 716 publications

(528 citation statements)

References 33 publications

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“…Taking this into account, in order to ensure the stability of the nonzero background of the mode supporting dark soliton, we consider nonlinear coupling between bright solitons emerging from the branch α and dark solitons emerging from the branch β. Vector bright-dark soliton solutions of Eqs. (19), (20), are found numerically in the form Aν = wν (Y )exp(ib nl ν z) (ν = α, β) using the Newton method. Examples of the profiles of such vector solitons are presented in Figs.…”

Section: Vector Bright-dark Edge Solitonsmentioning

confidence: 99%

“…5(c In Fig. 6 we show evolution of a dark-bright Floquet edge soliton constructed using numerically obtained envelope from the system (19), (20) imposed on the corresponding Bloch modes φ α,k and φ β,k . As in the case of scalar solitons, one can see that at the initial transient stage the peak amplitude of the bright component slightly decreases, after which coupled vector state forms and moves along the interface over considerable distances remaining almost unchanged.…”

Section: Vector Bright-dark Edge Solitonsmentioning

confidence: 99%

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Vector Topological Edge Solitons in Floquet Insulators

et al. 2020

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We introduce topological vector edge solitons in a Floquet insulator, consisting of two honeycomb arrays of helical waveguides with opposite directions of rotation in a focusing nonlinear optical medium. Zigzag edges of two arrays placed in contact create a zigzag-zigzag interface between two structures with different topology. A characteristic feature of such a photonic insulator is that, in the linear limit, it simultaneously supports two topologically protected chiral edge states at the interface between the two arrays. In the presence of nonlinearity, either bright or dark scalar Floquet edge soliton can bifurcate from a linear topological edge state. Such solitons are unidirectional and are localized in both directions, along the interface due to nonlinear selfaction, and across the interface as being an edge state. The presence of two edge states with equal averaged group velocities enables the existence of stable topological vector edge solitons. In our case these are nonlinearly coupled bright and dark solitons bifurcating from different branches of the topological Floquet edge states. Here we put forward a new mathematical description of scalar and vector small-amplitude Floquet envelope solitons in the above-mentioned continuous system. Importantly for the design of future photonic devices based on Floquet edge solitons, we find that the latter can be described by nonlinear Schrödinger equations for the mode envelopes obtained by averaging over one rotation period in the evolution coordinate.

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Section: Vector Bright-dark Edge Solitonsmentioning

confidence: 99%

Section: Vector Bright-dark Edge Solitonsmentioning

confidence: 99%

Vector Topological Edge Solitons in Floquet Insulators

et al. 2020

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“…Our proposal provides a realistic scheme to realize photonic topological corner states in photonic graphene. Moreover, it offers an accessible platform to study higherorder generalization of the topological insulator laser, which has been experimentally implemented in similar photonic crystal [53][54][55][56]. Topological corner modes show negative imaginary parts.…”

Section: Discussionmentioning

confidence: 99%

Wannier-type photonic higher-order topological corner states induced solely by gain and loss

Liu

Hou

2020

Phys. Rev. A

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Photonic crystals have provided a controllable platform to examine excitingly new topological states in open systems. In this work, we reveal photonic topological corner states in a photonic graphene with mirror-symmetrically patterned gain and loss. Such a nontrivial Wannier-type higherorder topological phase is achieved through solely tuning on-site gain/loss strengthes, which leads to annihilation of the two valley Dirac cones at time-reversal-symmetric point, as the gain and loss change the effective tunneling between adjacent sites. We find that the symmetry-protected photonic corner modes exhibit purely imaginary energies and the role of Wannier center as topological invariant is illustrated. For experimental considerations, we also examine the topological interface states near a domain wall. Our work introduces an interesting platform for non-Hermiticity-induced photonic higher-order topological insulators, to which, with current experimental technologies, can be readily accessed.

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“…The research in this field has brought us new understanding of the fundamental topological properties of optical systems, which are due to the photonic spin-orbit coupling present in various kinds of inhomogeneous photonic systems [3][4][5]. Photonic spin-orbit coupling (SOC) is a crucial ingredient for solving long-standing problems like optical isolation at a microscopic scale [6][7][8][9][10] required for the functioning of lasers, opening a new field of topological lasers [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Spin–orbit coupling in photonic graphene

Zhang¹,

Liang²,

Li³

et al. 2020

Optica

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We generate experimentally a honeycomb refractive index pattern in an atomic vapor cell using electromagnetically-induced transparency. We study experimentally and theoretically the propagation of polarized light beams in such "photonic graphene".We demonstrate that an effective spin-orbit coupling appears as a correction to the paraxial beam equations because of the strong spatial gradients of the permittivity. It leads to the coupling of spin and angular momentum at the Dirac points of the graphene lattice. Our results suggest that the polarization degree plays an important role in many configurations where it has been previously neglected.

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Nonreciprocal lasing in topological cavities of arbitrary geometries

Cited by 716 publications

References 33 publications

Vector Topological Edge Solitons in Floquet Insulators

Vector Topological Edge Solitons in Floquet Insulators

Wannier-type photonic higher-order topological corner states induced solely by gain and loss

Spin–orbit coupling in photonic graphene

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