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Paper   IPM / Nano-Sciences / 17478
School of Nano Science
  Title:   Critical quantum thermometry and its feasibility in spin systems
  Author(s): 
1.  Enes Aybar
2.  Artur Niezgoda
3.  Safoura S. Mirkhalaf
4.  Morgan W. Mitchell
5.  Daniel Benedicto Orenes
6.  Emilia Witkowska
  Status:   Published
  Journal:
  Vol.:  6
  Year:  2022
  Pages:   808
  Supported by:  IPM
  Abstract:
In this work, we study temperature sensing with finite-sized strongly correlated systems exhibiting quantum phase transitions. We use the quantum Fisher information (QFI) approach to quantify the sensitivity in the temperature estimation, and apply a finite-size scaling framework to link this sensitivity to critical exponents of the system around critical points. We numerically calculate the QFI around the critical points for two experimentally-realizable systems: the spin-1 Bose-Einstein condensate and the spin-chain Heisenberg XX model in the presence of an external magnetic field. Our results confirm finite-size scaling properties of the QFI. Furthermore, we discuss experimentally-accessible observables that (nearly) saturate the QFI at the critical points for these two systems.

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