Tight bound on finite-resolution quantum thermometry at low temperatures
Jørgensen, Mathias R. ; Potts, Patrick P. LU
; Paris, Matteo G. A.
and Brask, Jonatan B.
(2020)
In Physical Review Research
2(3).
- Abstract
- Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum systems, taking into account constraints due to finite measurement resolution. We derive a tight bound on the optimal precision scaling with temperature, as the temperature approaches zero. The bound demonstrates that under finite resolution, the variance in any temperature estimate must decrease slower than linearly. This scaling can be saturated by monitoring the nonequilibrium dynamics of a single-qubit probe. We support this finding by numerical simulations of a spin-boson model. In particular, this shows that thermometry with a vanishing... (More)
- Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum systems, taking into account constraints due to finite measurement resolution. We derive a tight bound on the optimal precision scaling with temperature, as the temperature approaches zero. The bound demonstrates that under finite resolution, the variance in any temperature estimate must decrease slower than linearly. This scaling can be saturated by monitoring the nonequilibrium dynamics of a single-qubit probe. We support this finding by numerical simulations of a spin-boson model. In particular, this shows that thermometry with a vanishing absolute error at low temperature is possible with finite resolution, answering an interesting question left open by previous work. Our results are relevant both fundamentally, as they illuminate the ultimate limits to quantum thermometry, and practically, in guiding the development of sensitive thermometric techniques applicable at ultracold temperatures. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3c0eb139-9e93-4fea-b9d0-246070b09bdb
- author
- Jørgensen, Mathias R.
; Potts, Patrick P.
LU
; Paris, Matteo G. A.
and Brask, Jonatan B.
- organization
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review Research
- volume
- 2
- issue
- 3
- publisher
- American Physical Society
- external identifiers
-
- scopus:85098281239
- ISSN
- 2643-1564
- DOI
- 10.1103/PhysRevResearch.2.033394
- language
- English
- LU publication?
- yes
- id
- 3c0eb139-9e93-4fea-b9d0-246070b09bdb
- alternative location
- https://link.aps.org/doi/10.1103/PhysRevResearch.2.033394
- date added to LUP
- 2020-11-18 10:23:29
- date last changed
- 2023-11-08 02:56:30
@article{3c0eb139-9e93-4fea-b9d0-246070b09bdb,
abstract = {{Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum systems, taking into account constraints due to finite measurement resolution. We derive a tight bound on the optimal precision scaling with temperature, as the temperature approaches zero. The bound demonstrates that under finite resolution, the variance in any temperature estimate must decrease slower than linearly. This scaling can be saturated by monitoring the nonequilibrium dynamics of a single-qubit probe. We support this finding by numerical simulations of a spin-boson model. In particular, this shows that thermometry with a vanishing absolute error at low temperature is possible with finite resolution, answering an interesting question left open by previous work. Our results are relevant both fundamentally, as they illuminate the ultimate limits to quantum thermometry, and practically, in guiding the development of sensitive thermometric techniques applicable at ultracold temperatures.}},
author = {{Jørgensen, Mathias R. and Potts, Patrick P. and Paris, Matteo G. A. and Brask, Jonatan B.}},
issn = {{2643-1564}},
language = {{eng}},
number = {{3}},
publisher = {{American Physical Society}},
series = {{Physical Review Research}},
title = {{Tight bound on finite-resolution quantum thermometry at low temperatures}},
url = {{http://dx.doi.org/10.1103/PhysRevResearch.2.033394}},
doi = {{10.1103/PhysRevResearch.2.033394}},
volume = {{2}},
year = {{2020}},
}