We introduced a model in which a particle performs continuous Brownian motion with changes of diffusion coefficients induced by transient molecular interactions with diffusive binding partners. The model shows subdiffusion and nonergodicity similar to the heavytailed continuous time random walk. These properties depend on the density of binding partners. This model provides an experimentally testable microscopic model to investigate the nature of nonergodicity in disordered media. PRE 95 032403 
We applied the framework of nonequilibrium quantum thermodynamics to the physics of quenched smallsized bosonic quantum gases in a onedimensional harmonic trap. We showed that dynamical orthogonality can occur in these fewbody systems with strong interactions after a quench. We established a clear qualitative link between the amount of (irreversible) work performed on the system and the establishment of entanglement. NJP 18 103035 
We proposed a novel procedure to solve the Schrödinger equation with the initial condition being a multisingular vortex Gaussian beam.
This procedure permits to find the trajectories of the singularities by
solving an algebraic equation. Thus it represents a new strategy to
investigate vortex knots and loops in singular optics with analytical
tools. J. Opt. 18 064006

We
analyzed the entanglement of an impurity with a small ultracold bosonic
gas in a parabollic trap. We vary the repulsive contact interactions
and the relative mass between the two species.
We found that there exist a critical mass for which the entanglement
has a peak. For larger values of the mass of the impurity, it localizes
in the centre of the trap. JphysB 49 075303

We
analyzed the role of impurities in the fractional quantum Hall effect
using a highly controllable system of ultracold atoms. We investigate
the mechanism responsible for the formation of plateaux in the
resistivity as a function of the applied magnetic field in the lowest
Landau level regime. NJP 17 125009

We demonstrated that superpositions of TonksGirardeau gases can exist in a double well. We reconciled the existence of such states with the predictions from the BoseFermi mapping theorem. PRA 92 033621 
We proposed a technique to generate macroscopic superposition states of vortices with ultracold bosons in a 3D double well. The distinguishable macroscopic property in these superpositions is associated with the angular properties of the vortices. PRA 91 033626 
We proved that the charge of a discrete vortex soliton in a discrete symmetric system presents a cutoff, when the vortex has only one singularity. PRL 95 043901 
We showed how a highly charged vortex can be transformed into a vortex
with the opposed sign of the phase singularity by means of a discrete symmetric system. PRL 95 123901

We showed how macroscopic superpositions of ultracold bosons can be obtained in tilted double wells dynamically. EPL 90 10005

We
studied a small mixture of bosons in a 1D trap when one of the species
is kept noninteracting while all other repulsive interactions are
tuned from zero to infinity. NJP 16 103004

We
studied a bosonic mixture in a 1D double well, when the two components are assumed to be two
hyperfine internal states of the same atom that are spinorbit coupled.
We disentangle different Josephson scenarios, which are associated on
how the interactions compare with the different transfer and tunneling
processes in the system, giving rise to internal, external, and mixed
Josephson effects. PRA 89 063607 
We studied the dynamics of two strongly interacting bosons when the interactions with an impurity are suddenly quenched. We found that, even in such a small system, evidence of Anderson's orthogonality catastrophe can be witnessed. PRA 90, 013617 
We studied a system of two bosons plus one extra atom, when all repulsive interactions in the system are ranged from zero to infinity. PRA 90 063605 
We studied a sharp crossover that occurs in small mixtures of ultracold bosons in 1D between different strongly interacting regimes. PRA 88 063604 
We studied the phase separation process in fewatom strongly interacting mixtures of ultracold bosons in 1D. PRA 87 063633

We experimentally illustrated the key role of offaxis singularities in the phenomena of vortex transmutation. Appl. Phys. B 116, 779. See also J. Opt. 15 044014. 
We studied a fourmode BEC trapped in a 1D double well with a semiclassical model. The additional modes represent two inwell excited localized states. PRA 89 023614 
We
presented the concept of measure synchronization for two coupled
quantum manybody systems. We assumed that the coupling is due to
contact interactions and showed that it produced quantum measure
synchronization, which manifested itself in manybody quantum
properties like the condensed fractions and particle fluctuations. To
illustrate the concept, we consider two species of bosons in a double
well potential. PRA 89 033603

We
extended the cutoff theorem to discrete vortex solitons with
offdiagonal singularities, and presented some examplary vortex
solitons
with many singularities. PRA 79 053820
