Multifractality and Fock-space localization in many-body localized states: One-particle density matrix perspective

Many-Body Localization Characterized from a One-Particle Perspective.

We show that the one-particle density matrix ρ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of ρ) are localized in the many-body localized phase and spread out when one enters the delocalized phase, while the occupation spectrum (the set of eigenvalues of ρ) reveals the distinctive Fock-sp...

Many-Body Localization Implies that Eigenvectors are Matrix-Product States.

The phenomenon of many-body localization has received a lot of attention recently, both for its implications in condensed-matter physics of allowing systems to be an insulator even at nonzero temperature as well as in the context of the foundations of quantum statistical mechanics, providing examples of systems showing the absence of thermalization following out-of-equilibrium dynamics. In this...

Does localization occur in a hierarchical random – matrix model for many – body states ? 1

We use random–matrix theory and supersymmetry techniques to work out the two– point correlation function between states in a hierarchical model which employs Feshbach’s chaining hypothesis: Classes of many–body states are introduced. Only states within the same or neighboring classes are coupled. We assume that the density of states per class grows monotonically with class index. The problem is...

Two-particle resonant states in a many-body mean field.

A formalism to evaluate the resonant states produced by two particles moving outside a closed shell core is presented. It is found that long lived two-body states (including bound states) are mostly determined by either bound single-particle states or by narrow single-particle resonances. However, they can be significantly affected by the continuum part of the spectrum.

Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A density-matrix approach