Jailson Sales Araújo

arXiv2026

Internal Temperature and Center-of-Mass Dynamics of a Levitated Nanoparticle: A Simulator

This document describes the models used in the simulator for the dynamics of a nanoparticle levitated in a Paul trap combined with an optical tweezer. The focus is the coupled evolution between the center-of-mass motion, the internal temperature of the particle, and the effective temperature associated with the mechanical motion. The formulation includes electric and optical forces, gas damping, thermal noise, heat exchange with the gas, thermal radiation, active optical absorption, parasitic absorption, anti-Stokes cooling, and absorption/emission spectra obtained from generic presets, generated bands, or experimental tables loaded by the user

physics.optics↗

arXiv2024

Synthesizing the Born rule with reinforcement learning

According to the subjective Bayesian interpretation of quantum theory (QBism), quantum mechanics is a tool that an agent would be wise to use when making bets about natural phenomena. In particular, the Born rule is understood to be a decision-making norm, an ideal which one should strive to meet even if usually falling short in practice. What is required for an agent to make decisions that conform to quantum mechanics? Here we investigate how a realistic (hence non-ideal) agent might deviate from the Born rule in its decisions. To do so we simulate a simple agent as a reinforcement-learning algorithm that makes `bets' on the outputs of a symmetric informationally-complete measurement (SIC) and adjusts its decisions in order to maximize its expected return. We quantify how far the algorithm's decision-making behavior departs from the ideal form of the Born rule and investigate the limiting factors. We propose an experimental implementation of the scenario using heralded single photons.

quant-ph↗