Nonlinear Transport through Parity–Time Symmetric Lattice Potentials

Abstract

We study nonlinear transports of a light field through finite parity–time symmetric lattice potentials. The initial light field is trapped in a source reservoir and is released to expand toward the lattice potentials along the transverse direction due to the nonlinearity. We identify the transports that can be classified into in-band and in-gap transports. In the in-band transport, the light field can tunnel through the lattices into the sink reservoir, and in the in-gap transport, the light field is self-trapped inside the lattices to form a solitary wave.

Keywords

• parity–time symmetric lattices
• nonlinear transport
• nonlinear Bloch spectrum