Extensive increase of entropy in quantum quench

DOI10.1088/1751-8113/49/44/444003zbMATH Open1353.82061arXiv1606.07199OpenAlexW3101107570MaRDI QIDQ2834805

Takashi Mori

Publication date: 24 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: In the setup of isolated quantum systems, it is proved that the thermodynamic entropy and the diagonal entropy must increase extensively in any nontrivial quantum quench. The extensive increase of the thermodynamic entropy is shown for any initial state (even for a pure state) that represents thermal equilibrium. On the other hand, the extensive increase of the diagonal entropy is shown for any stationary initial state under the condition that both the pre-quench and the post-quench Hamiltonians satisfy the eigenstate thermalization hypothesis.

Full work available at URL: https://arxiv.org/abs/1606.07199

zbMATH Keywords

entropysecond law of thermodynamicsquantum quench

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (1)

ENTROPY INCREASE AND K-SYSTEMS IN QUANTUM THEORY

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