title: Double-humped states in the nonlinear Schrödinger equation with a random potential.
abstract: The role of double-humped states in spreading of wave packets for the nonlinear Schrödinger equation (NLSE) with a random potential is explored and the spreading mechanism is unraveled. Comparison to an NLSE with a double-well potential is made. There are two independent effects of the nonlinearity on the double-humped states for the NLSE: coupling to other states and destruction. The interplay between these effects is discussed.
authors.affiliation: Department of Physics, Technion-Israel Institute of Technology, Haifa, Israel.
authors.forename: H
authors.initials: H
authors.lastname: Veksler
authors.forename: Y
authors.initials: Y
authors.lastname: Krivolapov
authors.forename: S
authors.initials: S
authors.lastname: Fishman