Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Staircase in magnetization and entanglement entropy of spin squeezed
  condensates   Staircases in response functions are associated with physically observable
quantities that respond discretely to continuous tuning of a control parameter.
A well-known example is the quantization of the Hall conductivity in two
dimensional electron gases at high magnetic fields. Here, we show that such a
staircase response also appears in the magnetization of spin-1 atomic ensembles
evolving under several spin-squeezing Hamiltonians.We discuss three examples,
two mesoscopic and one macroscopic, where the system's magnetization vector
responds discretely to continuous tuning of the applied magnetic field or the
atom density, thus producing a magnetization staircase. The examples that we
consider are directly related to Hamiltonians that have been implemented
experimentally in the context of spin and spin-nematic squeezing. Thus, our
results can be readily put to experimental test in spin-1 ferromagnetic
$^{87}$Rb and anti-ferromagnetic $^{23}$Na condensates.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th