Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Entanglement for Systems of Identical Bosons. I General Theory   These two accompanying papers treat two mode entanglement for systems of
identical massive bosons and the relationship to spin squeezing and other
quantum correlation effects. Entanglement is a key quantum feature of composite
systems where the probabilities for joint measurements on the composite
sub-systems are no longer determined from measurement probabilities on the
separate sub-systems. We focus on the meaning of entanglement, the quantum
paradoxes associated with entangled states, and important tests that allow an
experimentalist to determine whether a quantum state - in particular, one for
massive bosons is entangled. Our tests for entanglement fully utilise the
symmetrisation principle and super-selection rules for bosonic massive
particles. These papers provides detailed arguments necessary for the
conclusions of a recent paper which presented results for rigorously
demonstrating the entanglement of a two-mode Bose-Einstein condensate (BEC).
  In the first paper (I), we discuss the meaning of entanglement for systems of
identical particles. For such systems, the relevant quantum density operators
must satisfy the symmetrisation principle and global and local super-selection
rules prohibiting states in which there are coherences between differing
particle numbers. We fully justify these requirements. In the second
quantisation approach, both the system and sub-systems are modes (or sets of
modes) rather than particles, particles being associated with different mode
occupancies.
  In the accompanying review paper (II), we consider spin squeezing and other
tests for entanglement for two-mode bosonic systems. Starting from paper (I) we
determine which tests are useful for detecting entanglement in massive bosonic
(BEC), as opposed to photonic, systems. Several new inequalities are derived,
and recent key experiments are analysed.

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The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom