Fundamental limits on low-temperature quantum thermometry with finite resolution
Potts, Patrick P. LU
; Brask, Jonatan Bohr
and Brunner, Nicolas
(2019)
In Quantum
3.
p.161-161
- Abstract
- 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/6c373aa8-0bbb-40f9-ac30-e63ca1a362f9
- author
- Potts, Patrick P.
LU
; Brask, Jonatan Bohr
and Brunner, Nicolas
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- in
- Quantum
- volume
- 3
- pages
- 161 - 161
- publisher
- Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
- external identifiers
-
- scopus:85093868987
- ISSN
- 2521-327X
- DOI
- 10.22331/q-2019-07-09-161
- language
- English
- LU publication?
- no
- id
- 6c373aa8-0bbb-40f9-ac30-e63ca1a362f9
- alternative location
- https://quantum-journal.org/papers/q-2019-07-09-161/
- date added to LUP
- 2020-02-05 20:57:59
- date last changed
- 2023-11-19 23:38:07
@article{6c373aa8-0bbb-40f9-ac30-e63ca1a362f9,
abstract = {{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.}},
author = {{Potts, Patrick P. and Brask, Jonatan Bohr and Brunner, Nicolas}},
issn = {{2521-327X}},
language = {{eng}},
pages = {{161--161}},
publisher = {{Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften}},
series = {{Quantum}},
title = {{Fundamental limits on low-temperature quantum thermometry with finite resolution}},
url = {{http://dx.doi.org/10.22331/q-2019-07-09-161}},
doi = {{10.22331/q-2019-07-09-161}},
volume = {{3}},
year = {{2019}},
}