Controlling and measuring the temperature in different devices and platforms that operate in the quantum regime is, without any doubt, essential for any potential application. Quantum thermometric methods can differ greatly depending on the experimental platform, the achievable precision, and the temperature range of interest, the theory of quantum thermometry is, however, built under a unifying framework at the crossroads of quantum metrology, open quantum systems, and quantum many-body physics. At a fundamental level, we address some basic aspects of theoretical quantum thermometry that is concerned with finding the ultimate bounds and scaling laws that limit the precision of temperature estimation for systems in and out of thermal equilibrium. At a more practical level, we provide tools to formulate precise, yet feasible, thermometric protocols for relevant experimental architectures, namely in certain integrable spin models as well as in quantum optics platforms.

Some Useful references: 

• Physical review letters 114 (22), 220405
• Journal of Physics A: Mathematical and Theoretical 52 (30), 303001
• Thermodynamics in the quantum regime, 503-527
• Physical Review Letters 128 (13), 130502
• Quantum 6, 743
• arXiv preprint arXiv:2207.10742