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In the setup of isolated quantum systems, it is proved that the thermodynamicentropy and the diagonal entropy must increase extensively in any nontrivialquantum quench. The extensive increase of the thermodynamic entropy is shownfor any initial state (even for a pure state) that represents thermalequilibrium. On the other hand, the extensive increase of the diagonal entropyis shown for any stationary initial state under the condition that both thepre-quench and the post-quench Hamiltonians satisfy the eigenstatethermalization hypothesis.

Extensive increase of entropy in quantum quench