Zhiwei Shi

Gray solitons in parity-time symmetric potentials

We numerically study the gray solitons in parity-time (PT) symmetric potentials. Simulated results show that there are two kinds of gray solitons, the dip-shaped gray solitons and the hump-shaped solitons, and both of them can be stable. Hump-shaped solitons can always exist, but the grayness of a stable dip-shaped gray soliton should exceed a threshold value. More interesting, it is discovered that when propagating in PT symmetric potentials, the gray solitons have no transverse deviation, and this is a phenomenon different from the usual gray solitons.

Nonlocal solitons in dual-periodic PT-symmetric optical lattices

We numerically study the nonlocal solitons in dual-periodic parity-time (

Nonlocal bright spatial solitons in defocusing Kerr media supported by \chem{\cal {PT}} symmetric potentials

\mathcal{PT}

Localized surface modes in parity–time-symmetric potentials

) symmetric optical lattices built into a nonlocal self-focusing medium. We state the existence, stability, and propagation dynamics of such

Surface defect gap solitons in optical lattices with nonlocal nonlinearity

\mathcal{PT}

Transmission of nonparaxial nonlocal lattice solitons at nonlinear interfaces

-gap solitons in detail. Simulated results show that there exist stable gap solitons. The energy flow density and the stable region of the

Bright spatial solitons in defocusing Kerr media with PT-symmetric potentials

\mathcal{PT}

Bulk vortices and half-vortex surface modes in parity-time-symmetric media

-gap solitons in both the propagation constant and the degree of nonlocality are also examined.

Discrete solitons in saturable nonlinearity media with parity-time symmetric lattices

The bright spatial solitons in nonlocal defocusing Kerr media with parity-time () symmetric potentials are studied. The influence of the degree of nonlocality on the solitons and the transverse energy flow within the stable solitons are examined. We also find that these solitons can exist and be stable over a different range of the propagation constant and potential parameters. Interestingly, there exists a threshold value for the degree of nonlocality or potential parameters.

Defect matter-wave gap solitons in spin–orbit-coupled Bose–Einstein condensates in Zeeman lattices

We investigate light-beam propagation along the interface between linear and nonlinear media with parity-time symmetry. A novel class of two-dimensional localized surface modes (LSMs) is found analytically and numerically. If the potential is parity-time invariant along the direction parallel to the interface between the two media, stable LSMs can exist. Otherwise, if the potential is parity-time invariant along the direction perpendicular to the interface between the two media, there are no stable LSMs.