Average diagonal entropy in non-equilibrium isolated quantum systems
arXiv:1603.01624 · doi:10.1103/PhysRevE.94.012122
Abstract
The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum systems out of equilibrium. Here we present an analytical calculation of the average diagonal entropy for systems undergoing unitary evolution and an external perturbation in the form of a cyclic quench. We compare our analytical findings with numerical simulations of various many-body quantum systems. Our calculations elucidate various heuristic relations proposed recently in the literature.
5 pages + 4 page "Supplemental material", 2 figures
References in corpus (6)
- Thermalization and its mechanism for generic isolated quantum systems
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Breakdown of thermalization in finite one-dimensional systems
- Absence of Thermalization in Nonintegrable Systems
- An investigation of equilibration in small quantum systems: the example of a particle in a 1D random potential
- Relaxation of isolated quantum systems beyond chaos
Cited by in corpus (6)
- Non-ergodicity in the Anisotropic Dicke model
- Average coherence and its typicality for random mixed quantum states
- Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds
- Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
- Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
- Diagonal entropy in many-body systems: Volume effect and quantum phase transitions