Quantum Otto Cycle: Two-Level Quantum Heat Engine (2D)

This 2D companion replaces the 3D version's decorative particle scene with the actual quantum-statistical-mechanics that "quantum thermodynamics" refers to: a real two-level qubit is coupled alternately to a hot and a cold heat bath while its energy gap is swept between a compressed and an expanded value — a quantum Otto cycle. Each stroke uses genuine Boltzmann populations, and the panel reports real per-cycle work and heat extracted from those populations, plus an efficiency reading that is checked live against the Carnot bound (or, when the bath/gap settings invert the cycle, a coefficient of performance checked against the Carnot COP for a refrigerator).