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Shift-invert diagonalization of large many-body localizing spin chains
We provide a pedagogical review on the calculation of highly excited eigenstates of disordered interacting quantum systems which can undergo a many-body localization (MBL) transition, using
Forward approximation as a mean-field approximation for the Anderson and many-body localization transitions
In this paper we analyze the predictions of the forward approximation in some models which exhibit an Anderson (single-body) or many-body localized phase. This approximation, which consists of
Mean-field model for the density of states of jammed soft spheres.
A class of mean-field models for the isostatic transition of systems of soft spheres is proposed, in which the contact network is modeled as a random graph and each contact is associated to d degrees of freedom, which predicts a nontrivial dependence of α on the details of the coordination distribution.
Microfluidic motion for a direct investigation of solvent interactions with PDMS microchannels
Solid surface/liquid interactions play an important role in microfluidics and particularly in manipulation of films, drops and bubbles, a basic requirement for a number of lab-on-chip applications.
Energy diffusion in the ergodic phase of a many body localizable spin chain
The phenomenon of many-body localization in disordered quantum many-body systems occurs when all transport is suppressed despite the fact that the excitations of the system interact. In this work we
Entanglement critical length at the many-body localization transition
We study the details of the distribution of the entanglement spectrum (eigenvalues of the reduced density matrix) of a disordered spin chain exhibiting a many-body localization (MBL) transition. In
Localized systems coupled to small baths: From Anderson to Zeno
We investigate what happens if an Anderson localized system is coupled to a small bath, with a discrete spectrum, when the coupling between system and bath is specially chosen so as to never localize
Anderson transition on the Bethe lattice: an approach with real energies
We study the Anderson model on the Bethe lattice by working directly with propagators at real energies E. We introduce a novel criterion for the localization–delocalization transition based on the
Hilbert Space Fragmentation and Many-Body Localization
Investigating many-body localization (MBL) using exact numerical methods is limited by the exponential growth of the Hilbert space. However, localized eigenstates display multifractality and only
Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice
We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this model and