Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermometry Precision in Strongly Correlated Ultracold Lattice Gases   The precise knowledge of the temperature of an ultracold lattice gas
simulating a strongly correlated system is a question of both, fundamental and
technological importance. Here, we address such question by combining tools
from quantum metrology together with the study of the quantum correlations
embedded in the system at finite temperatures. Within this frame we examine the
spin-$1/2$ XY chain, first estimating, by means of the quantum Fisher
information, the lowest attainable bound on the temperature precision. We then
address the estimation of the temperature of the sample from the analysis of
correlations using a quantum non demolishing Faraday spectroscopy method.
Finally, we demonstrate that for sufficiently low temperatures the proposed
measurements are optimal to estimate accurately the temperature of the sample.

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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th