Fermi–Dirac State Occupation

The Fermi-Dirac distribution describes the probability that a single fermionic quantum state at energy E is occupied by a fermion at thermal equilibrium. Due to the Pauli exclusion principle, the maximum occupation of a single quantum state is exactly 1.

Experiment

Let's observe how the state occupation probability changes as we adjust the system's thermal scale and the state's relative energy offset.

1. Launch the Fermi–Dirac State Occupation module.
2. Select Thermal scale to 0 and observe the sharp step function for occupation at E=0.
3. Increase Thermal scale to 2 and watch the step broaden as thermal fluctuations allow higher energy states to be occupied.
4. Adjust the Energy offset to negative values and observe the occupation approaching 1 (filled state).