Cubic-quintic condensate solitons in four-wave mixing

Wu, Zhenkun; Zhang, Yiqi; Yuan, Chi; Wen, Feng; Zheng, Huaibin; Xiao, Min

doi:10.1103/physreva.88.063828

Cited by 63 publications

(38 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the coupling beam intensities are high enough, the third‐ and fifth‐order nonlinear susceptibilities

(χ_{p}^{(3)} {| E_{2} |}^{2}

and

χ_{p}^{(5)} {| E_{2} |}^{4})

come into play and should be taken into account . Then, the total susceptibility should be modified to

\begin{matrix} true \\ left Δ n (x, y) \approx δ n_{0} \\ left + δ n_{1} [2 cos (3 k_{2} x / 2) cos (\sqrt{3} k_{2} y / 2) + cos (\sqrt{3} k_{2} y)] \\ left + δ n_{2} {[2 prefixcos (3 k_{2} x / 2) prefixcos (\sqrt{3} k_{2} y / 2) + prefixcos (\sqrt{3} k_{2} y)]}^{2} \\ left + δ n_{4} {[2 cos (3 k_{2} x / 2) cos (\sqrt{3} k_{2} y / 2) + cos (\sqrt{3} k_{2} y)]}^{3}, \end{matrix}

with

δ n_{2}

and

δ n_{4}

being the higher‐order nonlinearity coefficients, which are connected with the Rabi frequencies and frequency detunings.…”

Section: Discussionmentioning

confidence: 99%

“…Since the energy level is dressed to be periodic, the susceptibility will also have the same periodicity, which can be written as

χ_{p} (x, y) = χ_{p}^{(1)} + χ_{p}^{(3)} {| E_{2} |}^{2} + χ_{p}^{(5)} {| E_{2} |}^{4},

when only the first three (linear and nonlinear) susceptibilities are considered. In Eq.…”

Section: The Modelmentioning

confidence: 99%

“…Furthermore, the spiraling direction (clockwise or anticlockwise), the period of the spiral, and the radius of the helical pattern can all be adjusted through controlling the beam intensity I 3 and the nonlinear index

n_{2}^{X}

. In a hot atomic vapor, the propagation distance z is effectively related to the atomic density, which can be easily controlled by the temperature . There, one can use a beam shaper to prepare the coupling fields with certain profiles.…”

Section: Photonic Floquet Topological Insulatormentioning

confidence: 99%

See 2 more Smart Citations

Photonic Floquet topological insulators in atomic ensembles

Zhang

Belić

et al. 2015

Laser & Photonics Reviews

Self Cite

View full text Add to dashboard Cite

We demonstrate the feasibility of realizing a photonic Floquet topological insulator (PFTIs) in an atomic ensemble. The interference of three coupling fields will split energy levels periodically, to form a periodic refractive index structure with honeycomb profile that can be adjusted by different frequency detunings and intensities of the coupling fields. This in turn will affect the appearance of Dirac cones in the momentum space. When the honeycomb lattice sites are helically ordered along the propagation direction, gaps open at Dirac points, and one obtains a PFTI in an atomic vapor. An obliquely incident beam will be able to move along the zigzag edge of the lattice without scattering energy into the PFTI, due to the confinement of edge states. The appearance of Dirac cones and the formation of PFTI can be shut down by the third-order nonlinear susceptibility and opened up by the fifth-order one.

show abstract

“…When the coupling beam intensities are high enough, the third‐ and fifth‐order nonlinear susceptibilities

(χ_{p}^{(3)} {| E_{2} |}^{2}

and

χ_{p}^{(5)} {| E_{2} |}^{4})

come into play and should be taken into account . Then, the total susceptibility should be modified to

\begin{matrix} true \\ left Δ n (x, y) \approx δ n_{0} \\ left + δ n_{1} [2 cos (3 k_{2} x / 2) cos (\sqrt{3} k_{2} y / 2) + cos (\sqrt{3} k_{2} y)] \\ left + δ n_{2} {[2 prefixcos (3 k_{2} x / 2) prefixcos (\sqrt{3} k_{2} y / 2) + prefixcos (\sqrt{3} k_{2} y)]}^{2} \\ left + δ n_{4} {[2 cos (3 k_{2} x / 2) cos (\sqrt{3} k_{2} y / 2) + cos (\sqrt{3} k_{2} y)]}^{3}, \end{matrix}

with

δ n_{2}

and

δ n_{4}

being the higher‐order nonlinearity coefficients, which are connected with the Rabi frequencies and frequency detunings.…”

Section: Discussionmentioning

confidence: 99%

“…Since the energy level is dressed to be periodic, the susceptibility will also have the same periodicity, which can be written as

χ_{p} (x, y) = χ_{p}^{(1)} + χ_{p}^{(3)} {| E_{2} |}^{2} + χ_{p}^{(5)} {| E_{2} |}^{4},

when only the first three (linear and nonlinear) susceptibilities are considered. In Eq.…”

Section: The Modelmentioning

confidence: 99%

n_{2}^{X}

Section: Photonic Floquet Topological Insulatormentioning

confidence: 99%

See 1 more Smart Citation

Photonic Floquet topological insulators in atomic ensembles

Zhang

Belić

et al. 2015

Laser & Photonics Reviews

Self Cite

View full text Add to dashboard Cite

show abstract

“…Our special interest in this section is the stable propagation of 2 1D SBSs in MDNCs exhibiting HON. Therefore the experiment described below was inspired by recent experiments: (i) the observation of robust 2 1D SBS propagation in liquid CS 2 due to the simultaneous contributions of focusing cubic and defocusing quintic nonlinearities [168]; and (ii) four-wave mixing experiments, based on the competition of cubic and quintic nonlinearities, performed to demonstrate the stabilization, for long distances, of 2 1D SBS in a rarefied gas [169] and in a nonresonant Kerr glass [170]. Notice that SBS could not propagate in the silver nanocolloids exhibiting cubic-quintic nonlinearities because the NL response would be dominated by the defocusing cubic nonlinearity.…”

Section: Bright and Vortex Solitonsmentioning

confidence: 99%

High-order optical nonlinearities in plasmonic nanocomposites—a review

2017

View full text Add to dashboard Cite

“…At this stage it may be worth mentioning that recently Wu et al [38] have experimentally investigated the multiparameter controllable four-wave mixing (FWM) optical droplet like twodimensional condensate solitons under competition between the third and fifth order susceptibilities enhanced by EIT in a multilevel atomic media. Mutual transformations among droplet like fundamental, dipole and azimuthally modulated vortex FWM solitons have been observed under low power.…”

Section: Resultsmentioning

confidence: 99%