Single-qubit thermometry

Jevtic, Sania; Newman, David S.; Rudolph, Terry; Stace, Thomas M.

doi:10.1103/physreva.91.012331

Cited by 105 publications

(121 citation statements)

References 16 publications

(15 reference statements)

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“…Thermometry applied to micro-mechanical resonators [10][11][12], and nuclear spins [13] has also been subject of investigation. Other studies have focused on more fundamental questions such as the scaling of the precision of temperature estimation with the number of quantum probes [14], and the potential role played by coherence and entanglement in simple thermometric tasks [15].…”

Section: Introductionmentioning

confidence: 99%

Individual Quantum Probes for Optimal Thermometry

et al. 2015

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The unknown temperature of a sample can be estimated with minimal disturbance by putting it in thermal contact with an individual quantum probe. If the interaction time is sufficiently long so that the probe thermalizes, the temperature can be read out directly from its steady state. Here we prove that the optimal quantum probe, acting as a thermometer with maximal thermal sensitivity, is an effective two-level atom with a maximally degenerate excited state. When the total interaction time is insufficient to produce full thermalization, we optimize the estimation protocol by breaking it down into sequential stages of probe preparation, thermal contact and measurement. We observe that frequently interrogated probes initialized in the ground state achieve the best performance. For both fully and partly thermalized thermometers, the sensitivity grows significantly with the number of levels, though optimization over their energy spectrum remains always crucial.

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Section: Introductionmentioning

confidence: 99%

Individual Quantum Probes for Optimal Thermometry

et al. 2015

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“…Quantum thermometry is indeed an area undergoing a rapid growth. The idea of using a single qubit as a thermometer has been put forward recently by several groups [26][27][28][29]. In this case, the fluctuations in the temperature estimate should be taken into account [30][31][32], which are expected to follow the Landau relation, ∆T ∼ T 2 /C, where C is the heat capacity of the system.…”

Section: Introductionmentioning

confidence: 99%

Local quantum thermometry using Unruh–DeWitt detectors

Robles¹,

Rodríguez-Laguna²

2017

J. Stat. Mech.

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We propose an operational definition for the local temperature of a quantum field employing Unruh-DeWitt detectors, as used in the study of the Unruh and Hawking effects. With this definition, an inhomogeneous quantum system in equilibrium can have different local temperatures, in analogy with the Tolman-Ehrenfest theorem from general relativity. We study the local temperature distribution on the ground state of hopping fermionic systems on a curved background. The observed temperature tends to zero as the thermometer-system coupling g vanishes. Yet, for small but finite values of g, we show that the product of the observed local temperature and the logarithm of the local speed of light is approximately constant. Our predictions should be testable on ultracold atomic systems.

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“…[17,18] used a single qubit as the probe to estimate the temperature of the micro-mechanical resonators. Meanwhile, Jevtic et al [19] have also used a single qubit to distinguish between two different temperatures of a bosonic bath and found the potential role * zoujian@bit.edu.cn played by coherence and entanglement in simple thermometric tasks. In addition, Ref.…”

Section: Introductionmentioning

confidence: 99%

“…With the progress in manipulation of individual quantum system, the study of thermometry precision, using individual quantum system as a probe, has attracted considerable attentions [16][17][18][19][20][21][22]. Specifically, Ref.…”

Section: Introductionmentioning

confidence: 99%

Improved thermometry of low-temperature quantum systems by a ring-structure probe

Guo

Zou

et al. 2015

Phys. Rev. A

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The thermometry precision of a sample is a question of both fundamental and technological importance. In this paper, we consider a ring-structure system as our probe to estimate the temperature of a bath. Based on the Markovian master equation of the probe, we calculate the quantum Fisher information (QFI) of the probe at any time. We find that for the thermal equilibrium thermometry, the ferromagnetic structure can measure a lower temperature of the bath with a higher precision compared with the non-structure probe. While for the dynamical thermometry, the antiferromagnetic structure can make the QFI of the probe in the dynamical process much larger than that in equilibrium with the bath, which is somewhat counterintuitive. Moreover, the best accuracy for the thermometry achieved in the antiferromagnetic structure case can be much higher than that in the non-structure case. The physical mechanisms of above phenomena are given in this paper.

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Single-qubit thermometry

Cited by 105 publications

References 16 publications

Individual Quantum Probes for Optimal Thermometry

Individual Quantum Probes for Optimal Thermometry

Local quantum thermometry using Unruh–DeWitt detectors

Improved thermometry of low-temperature quantum systems by a ring-structure probe

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