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Patrick Potts

Postdoctoral fellow

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Fundamental limits on low-temperature quantum thermometry with finite resolution

Author

  • Patrick P. Potts
  • Jonatan Bohr Brask
  • Nicolas Brunner

Summary, in 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.

Department/s

  • NanoLund

Publishing year

2019

Language

English

Pages

161-161

Publication/Series

Quantum

Volume

3

Document type

Journal article

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Status

Published

ISBN/ISSN/Other

  • ISSN: 2521-327X