Step 1: Definition
Pinch-off voltage ($V_P$) is the gate-source voltage at which the conductive channel of a JFET closes completely and $I_D$ becomes zero.
Step 2: Physical meaning
Beyond $V_P$, increasing $|V_{GS}|$ will not further increase current, as the channel is completely pinched off.
Step 3: Common mistake
Saturation voltage refers to when $I_D$ becomes constant, not zero.
Conclusion: The correct term for the gate voltage where current stops is the pinch-off voltage.
The MOSFET circuit implements the function.