Non-Markovian Quantum Thermometry

The rapidly developing quantum technologies and thermodynamics have put forward a requirement to precisely control measure the temperature of microscopic matter at level. Many thermometry schemes been proposed. However, measuring low is still challenging because obtained sensing errors generally tend diverge with decreasing temperature. Using continuous-variable system as thermometer, we propose non-Markovian reservoir. A mechanism make error $\delta T$ scale $T$ Landau bound T\simeq in full-temperature regime discovered. Our analysis reveals that it criticality total thermometer-reservoir causes this enhanced sensitivity. Efficiently avoiding error-divergence problem, our result gives an efficient way systems.