# Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains

@article{Johansson2019NonlinearGM, title={Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains}, author={Magnus Johansson and Petra P. Beli{\vc}ev and Goran Gligori'c and Dmitry R Gulevich and Dmitry V. Skryabin}, journal={Journal of Physics Communications}, year={2019} }

We consider a system of generalized coupled Discrete Nonlinear Schrodinger (DNLS) equations, derived as a tight-binding model from the Gross-Pitaevskii-type equations describing a zigzag chain of weakly coupled condensates of exciton-polaritons with spin-orbit (TE-TM) coupling. We focus on the simplest case when the angles for the links in the zigzag chain are $\pm \pi/4$ with respect to the chain axis, and the basis (Wannier) functions are cylindrically symmetric (zero orbital angular momenta…

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SHOWING 1-10 OF 60 REFERENCES

Nonlinear localized flat-band modes with spin-orbit coupling

- Physics
- 2016

We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flat-band network with spin-orbit coupling (SOC). The…

Symmetry breaking of localized discrete matter waves induced by spin–orbit coupling

- Physics
- 2015

Abstract We study localized nonlinear excitations of a dilute Bose–Einstein condensate (BEC) with spin–orbit coupling in a deep optical lattice (OL). For this we introduce a tight-binding model that…

Kagome lattice from an exciton-polariton perspective

- Physics
- 2016

We study a system of microcavity pillars arranged into a kagome lattice. We show that polarization-dependent tunnel coupling of microcavity pillars leads to the emergence of the effective spin-orbit…

Discrete and continuum composite solitons in Bose-Einstein condensates with the Rashba spin-orbit coupling in one and two dimensions.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

One- and two-dimensional continuum and discrete models for the two-component BEC are introduced, with the spin-orbit (SO) coupling of the Rashba type between the components, and attractive cubic interactions, and it is demonstrated that 1D and 2D discrete solitons are mobile, in a limited interval of velocities.

Flat bands and dynamical localization of spin-orbit-coupled Bose-Einstein condensates

- PhysicsPhysical Review A
- 2018

Flat bands and dynamical localization of binary mixtures of Bose-Einstein condensates, with spin-orbit coupling subjected to a deep optical lattice which is shaking in time and to a periodic time…

Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons

- Physics
- 2015

In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results…

Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice

- Physics, MedicineScience Advances
- 2015

This work reports the realization of a “Lieb lattice” configuration with an optical lattice, which has a flat energy band as the first excited state, and investigates the inter-sublattice dynamics of the system by projecting the sublattices population onto the band population.

Composite localized modes in discretized spin-orbit-coupled Bose-Einstein condensates

- Physics
- 2015

We introduce a discrete model for binary spin-orbit-coupled (SOC) Bose-Einstein condensates (BEC) trapped in a deep one-dimensional optical lattice. Two different types of the couplings are…

Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling.

- Physics, MedicinePhysical review letters
- 2018

The Letter shows the potential of polariton lattices for emulating flat band Hamiltonians with spin-orbit coupling, orbital degrees of freedom, and interactions.

Compactification tuning for nonlinear localized modes in sawtooth lattices.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

The properties of nonlinear localized modes in sawtooth lattices are discussed in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity, and their stability over large parameter regimes is shown.