Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin
  chains   We present results of numerical simulations performed on one-dimensional spin
chains in order to extract the so-called relaxation rate $1/T_1$ accessible
through NMR experiments. Building on numerical tensor network methods using the
Matrix Product States (MPS) formalism, we can follow the non-trivial crossover
occurring in critical chains between the high-temperature diffusive classical
regime and the low-temperature response described by the Tomonaga-Luttinger
liquid (TLL) theory, for which analytical expressions are known. In order to
compare analytics and numerics, we focus on a generic spin-$1/2$ XXZ chain
which is a paradigm of gapless TLL, as well as a more realistic spin-$1$
anisotropic chain, modelling the DTN material, which can be either in a trivial
gapped phase or in a TLL regime induced by an external magnetic field. Thus, by
monitoring the finite temperature crossover, we provide quantitative limits on
the range of validity of TLL theory, that will be useful when interpreting
experiments on quasi one-dimensional materials.

23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc