Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic expansion of many-body wave packets in random potentials   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 $\sim N\xi$. 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 $\xi$.

37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
16
The categories of this paper are: stat
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math