Low-temperature thermometry can be enhanced by strong coupling

Abstract

We consider the problem of estimating the temperature $T$ of a very cold equilibrium sample. The temperature estimates are drawn from measurements performed on a quantum probe strongly coupled to it. We model this scenario by resorting to the canonical Caldeira-Leggett Hamiltonian and find analytically the exact stationary state of the probe for arbitrary coupling strength. In general, the probe does not reach thermal equilibrium with the sample, due to their non-perturbative interaction. We argue that this is advantageous for low temperature thermometry, as we show in our model that: (i) The thermometric precision at low $T$ can be significantly enhanced by strengthening the probe-sampling coupling, (ii) the variance of a suitable quadrature of our Brownian thermometer can yield temperature estimates with nearly minimal statistical uncertainty, and (iii) the spectral density of the probe-sample coupling may be engineered to further improve thermometric performance. These observations may find applications in practical nanoscale thermometry at low temperatures---a regime which is particularly relevant to quantum technologies.

12 pages, 3 figures; revised version; Accepted in Phys. Rev. A

References in corpus (14)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum metrology from a quantum information science perspective
• Individual quantum probes for optimal thermometry
• Gaussian states in continuous variable quantum information
• Quantum Thermal Machine as a Thermometer
• Local quantum thermal susceptibility
• Exact analytical solutions to the master equation of quantum Brownian motion for a general environment
• The equilibrium states of open quantum systems in the strong coupling regime
• Bose polaron as an instance of quantum Brownian motion
• Maximizing information on the environment by dynamically controlled qubit probes
• Thermometry of ultracold atoms via non-equilibrium work distributions
• A single quantum dot as an optical thermometer for mK temperatures
• Locality of temperature in spin chains
• Sub-Kelvin optical thermometry of an electron reservoir coupled to a self-assembled InGaAs quantum dot

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