Nature of the Intrinsic Relation between Bloch-Band Tunneling and Modulational Instability
Nature of the Intrinsic Relation between Bloch-Band Tunneling and Modulational Instability
In an example of Bose-Einstein condensates embedded in two-dimensional optical lattices, we show that in nonlinear periodic systems modulational instability and interband tunneling are intrinsically related phenomena. By direct numerical simulations we find that tunneling results in attenuation or enhancement of instability. On the other hand, instability results in asymmetric …