Destruction of Anderson localization in quantum nonlinear Schrödinger lattices

Abstract

The four-wave interaction in quantum nonlinear Schrödinger lattices with disorder is shown to destroy the Anderson localization of waves, giving rise to unlimited spreading of the nonlinear field to large distances. Moreover, the process is not thresholded in the quantum domain, contrary to its "classical" counterpart, and leads to an accelerated spreading of the subdiffusive type, with the dispersion $⟨(\Delta n{)}^2⟩\sim t^{1/2}$ for $t\to +\infty$. The results, presented here, shed new light on the origin of subdiffusion in systems with a broad distribution of relaxation times.

4 pages, no figures

References in corpus (4)

• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• A topological approximation of the nonlinear Anderson model
• Quantum subdiffusion with two- and three-body interactions

Cited by in corpus (3)

• Fractional Schrödinger equation in gravitational optics
• A self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity
• Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with algebraic power nonlinearity