Priyam Das Changsuk Noh Dimitris G Angelakis
A tunable optical waveguide system to simulate the nonlinear Schr\"odinger equation (NLSE) with a periodic lattice potential in an out-of-equilibrium scenario is proposed. The system is formally similar to other nonlinear systems such as Bose-Einstein condensates in optical lattices or electromagnetic fields propagating in conventional Kerr-nonlinear optical media. We discuss the advantages of the proposed system compared to these systems and investigate the transport properties in both the linear and nonlinear regimes. Multistable behaviour and a novel horizontal peak in the transmission spectrum is observed in the nonlinear regime, the latter near a band-gap region introduced by the periodicity. The proposed model provides an excellent testbed to study out-of-equilibrium NLSE dynamics due to the ease of introducing a coherent source (an input laser field), the extra control over the sign and strength of nonlinearity and the freedom in choosing the shape and depth of the underlying potential. As we discuss in detail, our proposal is within reach of experimental implementation.
View original:
http://arxiv.org/abs/1208.0313
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