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- W3184685087 abstract "Anderson localization confines the wave function of a quantum particle in a one-dimensional random potential to a volume of the order of the localization length $xi$. Nonlinear add-ons to the wave dynamics mimic many-body interactions on a mean field level, and result in escape from the Anderson cage and in unlimited subdiffusion of the interacting cloud. We address quantum corrections to that subdiffusion by (i) using the ultrafast unitary Floquet dynamics of discrete-time quantum walks, (ii) an interaction strength ramping to speed up the subdiffusion, and (iii) an action discretization of the nonlinear terms. We observe the saturation of the cloud expansion of $N$ particles to a volume $sim Nxi$. We predict and observe a universal intermediate logarithmic expansion regime which connects the mean-field diffusion with the final saturation regime and is entirely controlled by particle number $N$. The temporal window of that regime grows exponentially with the localization length $xi$." @default.
- W3184685087 created "2021-08-02" @default.
- W3184685087 creator A5023625780 @default.
- W3184685087 creator A5082451237 @default.
- W3184685087 date "2022-02-23" @default.
- W3184685087 modified "2023-10-16" @default.
- W3184685087 title "Logarithmic expansion of many-body wave packets in random potentials" @default.
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- W3184685087 doi "https://doi.org/10.1103/physreva.105.l020202" @default.
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