Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reply to "comment on Geometric phases for mixed states during cyclic
  evolutions"   We show that the geometric phase for mixed state during a cyclic evolution
suggested in 2004 J. Phys. A 37 3699 is U(1) invariant and can be observed by
nowaday techniques.

21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess