Repeated Temperature Measurements in Quantum Thermodynamics

This talk is dedicated to problems of temperature measurements and its invasiveness. We discuss advantages of repeated measurements and make scheme of repeated temperature measurements in case of probe thermometry. The measurement is modeled as interaction between the sample and thermometer that becomes the environment of the sample, so we are headed to the open quantum systems theory. The calculations in the stroboscopic limit via ansatz posteriors are made . As a result we create formulas for temperature, energy exchange and capacity. For example calculations for cases of sample and thermometer presented as qubit or general multi-level system are presented.