Thermometry precision in strongly correlated ultracold lattice gases

M. Mehboudi, M. Moreno-Cardoner, G. De Chiara, A. Sanpera

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Abstract

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.
Remarkably, our results show that the collective quantum correlations can become optimal
observables to accurately estimate the temperature of our model in a given range of temperatures.
Original languageEnglish
Number of pages10
JournalNew Journal of Physics
Volume17
DOIs
Publication statusPublished - 18 May 2015

Keywords

  • quant-ph
  • cond-mat.quant-gas
  • cond-mat.stat-mech

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