Simulating a Quantum Dot Thermometer using Feynman’s Vector Model for Two-Level Systems

Abstract

This research aims to demonstrate that Feynman’s vector model can be effectively used to simulate a quantum dot thermometer for nanoscale temperature measurement. Combining theoretical quantum principles with computational modeling, we model quantum dots as precessing vectors on a Bloch sphere, linking excited-state and ground-state population dynamics to temperature via the Boltzmann distribution. Photoluminescence intensity gives the primary temperature readout. Simulations confirm the model’s accuracy at the nanoscale, demonstrating that Feynman’s geometrical approach simplifies complex quantum problems and provides a promising basis for future applications such as targeted drug delivery or cellular thermal monitoring.