The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

We propose a scaling theory for the many-body localization (MBL) phase transition in one
dimension, building on the idea that it proceeds via a “quantum avalanche.” We argue that …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …

We introduce a generic bosonic model exemplifying that (spin) Meissner currents can persist
in insulating phases of matter. We consider two species of interacting bosons on a lattice …

We discuss designer Hamiltonians—lattice models tailored to be free from sign problems
(“de-signed”) when simulated with quantum Monte Carlo (QMC) methods but which still host …

We introduce generic bosonic models exemplifying that chiral Meissner currents can persist
in insulating phases of matter. We first consider interacting bosons on a two-leg ladder. The …

We review recent theoretical and experimental efforts aimed at the investigation of the
physics of interacting disordered bosons (so-called dirty bosons) in the context of quantum …

We investigate the momentum-dependent transport of 1D quasicondensates in
quasiperiodic optical lattices. We observe a sharp crossover from a weakly dissipative …

One-dimensional free fermions and hard-core bosons are often considered to be equivalent.
Indeed, when restricted to nearest-neighbor hopping on a chain, the particles cannot …