Extensive increase of entropy in quantum quench
arXiv:1606.07199 · doi:10.1088/1751-8113/49/44/444003
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.
13 pages, invited paper for Special Issue of J. Phys. A "Emerging talents"
References in corpus (6)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Generalized Gibbs ensemble in integrable lattice models
- Typicality for Generalized Microcanonical Ensembles
- Large deviations in quantum lattice systems: one-phase region
- Mechanical Proof of the Second Law of Thermodynamics Based on Volume Entropy