2017/05/31 by Cécile Monthus, Cecile Monthus
Computer Science · Mathematics · Physics and Astronomy · #Basis (linear algebra) #Classical mechanics #Eigenvalues and eigenvectors #Entropy (arrow of time) #Geometry #Mathematics #Model Reduction and Neural Networks #Motion (physics) #Neural Networks and Reservoir Computing #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.dis-nn
paper · pdf · doi:10.1088/1751-8121/aabb24
published as 2018 J. Phys. A: Math. Theor. 51 195301 · v2=final version (15 pages)
openalex created_date 2017/06/05 · arxiv created 2018/04/03 · openalex publication_date 2018/04/16 · arxiv updated 2018/05/01 · openalex updated_date 2026/08/05
Abstract For random quantum spin models, the strong disorder perturbative expansion of the local integrals of motion around the real-spin operators is revisited. The emphasis is on the links with other properties of the many-body-localized phase, in particular the memory in the dynamics of the local magnetizations and the statistics of matrix elements of local operators in the eigenstate basis. Finally, this approach is applied to analyze the many-body-localization transition in a toy model studied previously from the point of view of the entanglement entropy.