What is Two-State quantum system?

In Quantum Mechanics Wave function's Amplitude oscillates between two states. This two state system is a system that can exist in any Quantum Superposition of two independent quantum states. It is also seen as qubit (i.e. it is a basic unit for Quantum Information). For better explanation of this we have experiments called Stern-Gerlach Experiment(Below image). In this experiment silver atom are pass using oven through inhomogeneous magnetic field. It is observed that of spin 1/2 have a value +ħ/2 or -ħ/2 and ħ stands for reduced Plank constant. This process would involve exponential decay of amplitudes, but solution of two-state systems are oscillatory. The pure state of the Quantum Mechanical system is represented by unit vectors also called as state vectors.

The cyclic behavior of two-state quantum system in the presence of oscillatory driving fields is called as Rabi Cycle or Rabi Flops. This cycle is very important for quantum optics, magnetic resonance and quantum computing. In two-state system there is two levels. If that levels are not degenerate system get excited because it absorb large amount of quantum energy. If the two-state system is light up by a coherent beam of photons, it will cyclically absorb photons energy and re-emit as stimulated emmision.

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