Enhancement of chaotic subdiffusion in disordered ladders with synthetic gauge fields

Abstract

We study spreading wave packets in a disordered nonlinear ladder with broken time-reversal symmetry induced by synthetic gauge fields. The model describes the dynamics of interacting bosons in a disordered and driven optical ladder within a mean-field approximation. The second moment of the wave packet $m_2=g{t}^{\alpha }$ grows subdiffusively with the universal exponent $\alpha \simeq 1/3$ similar to the time-reversal case. However the prefactor $g$ is strongly modified by the field strength and shows a non-monotonic dependence. For a weak field, the prefactor increases since time-reversal enhanced backscattering is suppressed. For strong fields the spectrum of the linear wave equation reduces the localization length through the formation of gaps and narrow bands. Consequently the prefactor for the subdiffusive spreading law is suppressed.

7 pages, 12 figures, Figs. 6, 7 and 8 added, references added, typos corrected

References in corpus (6)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Destruction of Anderson localization by a weak nonlinearity
• Universal spreading of wavepackets in disordered nonlinear systems
• Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
• The crossover from strong to weak chaos for nonlinear waves in disordered systems
• Anderson localization of one-dimensional hybrid particles

Cited by in corpus (5)

• Interaction-induced connectivity of disordered two-particle states
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• Slow dissipation and spreading in disordered classical systems: A direct comparison between numerics and mathematical bounds
• Equilibrium and Non-equilibrium Gross-Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization
• Wave-packet spreading in disordered soft architected structures