Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domain wall problem in the quantum XXZ chain and semiclassical behavior
  close to the isotropic point   We study the dynamics of a spin-1/2 XXZ chain which is initially prepared in
a domain-wall state. We compare the results of time-dependent Density Matrix
Renormalization Group simulations with those of an effective description in
terms of a classical anisotropic Landau-Lifshitz (LL) equation. Numerous
quantities are analyzed: magnetization (x, y and z components), energy density,
energy current, but also some spin-spin correlation functions or entanglement
entropy in the quantum chain. Without any adjustable parameter a quantitative
agreement is observed between the quantum and the LL problems in the long time
limit, when the models are close to the isotropic point. This is explained as a
consequence of energy conservation. At the isotropic point the mapping between
the LL equation and the nonlinear Schr\"odinger equation is used to construct a
variational solution capturing several aspects of the problem.

25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org