Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling of the entanglement spectrum near quantum phase transitions   The entanglement spectrum describing quantum correlations in many-body
systems has been recently recognized as a key tool to characterize different
quantum phases, including topological ones. Here we derive its analytically
scaling properties in the vicinity of some integrable quantum phase transitions
and extend our studies also to non integrable quantum phase transitions in one
dimensional spin models numerically. Our analysis shows that, in all studied
cases, the scaling of the difference between the two largest non degenerate
Schmidt eigenvalues yields with good accuracy critical points and mass scaling
exponents.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol