Many-Body-Localization : Strong Disorder perturbative approach for the Local Integrals of Motion

Abstract

For random quantum spin models, the strong disorder perturbative expansion of the Local Integrals of Motion (LIOMs) 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.

v2=final version (15 pages)

References in corpus (11)

• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Many-body localization edge in the random-field Heisenberg chain
• Phenomenology of fully many-body-localized systems
• Integrals of motion in the Many-Body localized phase
• Constructing local integrals of motion in the many-body localized phase
• Anomalous thermalization in ergodic systems
• Quantum quenches in the many-body localized phase
• Information propagation in isolated quantum systems
• Operator entanglement entropy of the time evolution operator in chaotic systems
• Entanglement spreading in a many-body localized system

Cited by in corpus (5)

• Exploring one particle orbitals in large Many-Body Localized systems
• Dissipative flow equations
• Tensor networks demonstrate the robustness of localization and symmetry protected topological phases
• Holographic unitary renormalization group for correlated electrons -- I: a tensor network approach
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime