Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fate of classical solitons in one-dimensional quantum systems   We study one-dimensional quantum systems near the classical limit described
by the Korteweg-de Vries (KdV) equation. The excitations near this limit are
the well-known solitons and phonons. The classical description breaks down at
long wavelengths, where quantum effects become dominant. Focusing on the
spectra of the elementary excitations, we describe analytically the entire
classical-to-quantum crossover. We show that the ultimate quantum fate of the
classical KdV excitations is to become fermionic particles and holes. We
discuss in detail two exactly solvable models exhibiting such crossover, the
Lieb-Liniger model of bosons with weak contact repulsion and the quantum Toda
model. We argue that the results obtained for these models are universally
applicable to all quantum one-dimensional systems with a well-defined classical
limit described by the KdV equation.

18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con