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Fundamental limits on low-temperature quantum thermometry with finite resolution

Author:
  • Patrick P. Potts
  • Jonatan Bohr Brask
  • Nicolas Brunner
Publishing year: 2019
Language: English
Pages: 161-161
Publication/Series: Quantum
Volume: 3
Document type: Journal article

Abstract english

While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically. Here we develop a general approach to low-temperature quantum thermometry, taking into account restrictions arising not only from the sample but also from the measurement process. {We derive a fundamental bound on the minimal uncertainty for any temperature measurement that has a finite resolution. A similar bound can be obtained from the third law of thermodynamics. Moreover, we identify a mechanism enabling sub-exponential scaling, even in the regime of finite resolution. We illustrate this effect in the case of thermometry on a fermionic tight-binding chain with access to only two lattice sites, where we find a quadratic divergence of the uncertainty}. We also give illustrative examples of ideal quantum gases and a square-lattice Ising model, highlighting the role of phase transitions.

Other

Published
  • ISSN: 2521-327X
Portrait of Patrick Potts
E-mail: patrick [dot] potts [at] teorfys [dot] lu [dot] se

Postdoctoral fellow

Mathematical Physics

14

Postdoctoral fellow

NanoLund

14