Double humped states in the nonlinear Schroedinger equation with a random potential

Abstract

The role of double humped states in spreading of wave packets for the nonlinear Schroedinger equation (NLSE) with a random potential is explored and the spreading mechanism is unraveled. Comparison with an NLSE with a double-well potential is made. There are two independent affects of the nonlinearity on the double humped states for the NLSE: coupling to other states and destruction. The interplay between these effects is discussed.

10 pages, 3 figures

References in corpus (6)

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• Universal spreading of wavepackets in disordered nonlinear systems
• Delocalization of wave packets in disordered nonlinear chains
• Spreading for the generalized nonlinear Schroedinger equation with disorder
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Cited by in corpus (9)

• Flat band states: disorder and nonlinearity
• Weak chaos in the disordered nonlinear Schroedinger chain: destruction of Anderson localization by Arnold diffusion
• The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles
• Spreading of waves in nonlinear disordered media
• Statistics of wave interactions in nonlinear disordered systems
• Complex Statistics and Diffusion in Nonlinear Disordered Particle Chains
• Analyzing Chaos in Higher Order Disordered Quartic-Sextic Klein-Gordon Lattices Using $q$-Statistics
• Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices
• Statistical Properties of the one dimensional Anderson model relevant for the Nonlinear Schrödinger Equation in a random potential