Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of entanglement under an Ising-like Hamiltonian with particle
  losses   We present analytical compact solution for the density matrix and correlation
functions of two collective-macroscopic spins evolving via Ising-like
Hamiltonian in the presence of particle losses. The losses introduce non-local
phase noise which destroys highly entangled states arising in the evolution. On
the other hand, the states appearing at relatively short timescales, possessing
EPR-like entanglement will survive. Applying our solutions to the recently
proposed scheme to entangle two Bose-Einstein condensates, we estimate the
optimal number of atoms for EPR correlations.

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The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph