Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistics-dependent quantum co-walking of two particles in
  one-dimensional lattices with nearest-neighbor interactions   We investigate continuous-time quantum walks of two indistinguishable
particles [bosons, fermions or hard-core bosons (HCBs)] in one-dimensional
lattices with nearest-neighbor interactions. The results for two HCBs are well
consistent with the recent experimental observation of two-magnon dynamics
[Nature 502, 76 (2013)]. The two interacting particles can undergo independent-
and/or co-walking depending on both quantum statistics and interaction
strength. Two strongly interacting particles may form a bound state and then
co-walk like a single composite particle with statistics-dependent walk speed.
Analytical solutions for the scattering and bound states, which appear in the
two-particle quantum walks, are obtained by solving the eigenvalue problem in
the two-particle Hilbert space. In the context of degenerate perturbation
theory, an effective single-particle model for the quantum co-walking is
analytically derived and the walk seep of bosons is found to be exactly three
times of the ones of fermions/HCBs. Our result paves the way for experimentally
exploring quantum statistics via two-particle quantum walks.

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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph