Variational Bose-Hubbard model revisited

For strongly interacting bosons in optical lattices the standard description using Bose-Hubbard model becomes questionable. The role of excited bands becomes important. In such a situation we compare results of simulations using multiband Bose-Hubbard model with a recent proposition based on a time dependent variational approach. It is shown that the latter, in its original formulation, uses too small variational space leading often to spurious effects. Possible expansion of variational approach is discussed.Comment: 8 pages, 6 figure

Synthetic Random Flux Model in a periodically-driven optical lattice

We propose a realization of a synthetic Random Flux Model in a two-dimensional optical lattice. Starting from Bose-Hubbard Hamiltonian for two atom species we show how to use fast-periodic modulation of the system parameters to construct random gauge field. We investigate the transport properties of such a system and describe the impact of time-reversal symmetry breaking and correlations in disorder on Anderson localization length.Comment: 6 pages, 4 figure

Controlling disorder with periodically modulated interactions

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the motion of the lighter, mobile species in the limit of no interaction between mobile particles. Fast periodic modulations of interspecies interactions allow us to produce an effective model with small diagonal and large off-diagonal disorder unexplored in cold atoms experiments. We present an expression for an approximate Anderson localization length and verify the existence of the well known extended resonant mode and analyze the influence of nonzero next-nearest neighbor hopping terms. We point out that periodic modulation of interaction allow disorder to work as a tunable band-pass filter for momenta.Comment: version close to published vesio

Role of correlations and off-diagonal terms in binary disordered one dimensional systems

We investigate one dimensional tight binding model in the presence of a correlated binary disorder. The disorder is due to the interaction of particles with heavy immobile other species. Off-diagonal disorder is created by means of a fast periodic modulation of interspecies interaction. The method based on transfer matrix techniques allows us to calculate the energies of extended modes in the correlated binary disorder. We focus on $N$-mer correlations and regain known results for the case of purely diagonal disorder. For off-diagonal disorder we find resonant energies. We discuss ambiguous properties of those states and compare analytical results with numerical calculations. Separately we describe a special case of the dual random dimer model.Comment: 6 pages, 4 figure

Influence of upstream face inclination of broad-crested weir on discharge coefficient

Bakalářská práce pojednává o vlivu sklonu návodního líce přelivu se širokou korunou na součinitel průtoku. Z měření úrovně hladiny před přelivem při různých průtocích a různých sklonech návodního líce, byly stanoveny hodnoty součinitele průtoku v závislosti na relativní tloušťce přelivu. Tyto naměřené hodnoty byly porovnány s výsledky měření uvedených v odborné literatuře.This bachelor’s thesis deals with influence of upstream face inclination of broad-crested weir on discharge coefficient. From measurement of water level in front of weir at different discharges and different upstream face inclinations, were determined values of discharge coefficient depending on relatively length of weir. These measured values were compared with results measurements, which are said in professional literature.

Single-particle localization in dynamical potentials

Single particle localization of an ultra-cold atom is studied in one dimension when the atom is confined by an optical lattice and by the incommensurate potential of a high-finesse optical cavity. In the strong coupling regime the atom is a dynamical refractive medium, the cavity resonance depends on the atomic position within the standing-wave mode and nonlinearly determines the depth and form of the incommensurate potential. We show that the particular form of the quasi-random cavity potential leads to the appearance of mobility edges, even in presence of nearest-neighbour hopping. We provide a detailed characterization of the system as a function of its parameters and in particular of the strength of the atom-cavity coupling, which controls the functional form of the cavity potential. For strong atom-photon coupling the properties of the mobility edges significantly depend on the ratio between the periodicities of the confining optical lattice and of the cavity field.Comment: version close to that accepted in Phys. Rev.

Submergence of low rectangular sharp-edged broad-crested weirs

Diplomová práce pojednává o zatopení nízkých pravoúhlých přelivů se širokou korunou. Z měření úrovní hladin před a za přelivem při různých průtokových stavech a různých výškách přelivu, byly stanoveny hodnoty součinitele zatopení přelivu v závislosti na relativní výšce zatopení. Z nich byla stanovena rovnice součinitele zatopení. Změřené hodnoty byly porovnány s výsledky měření, které jsou uvedeny v odborné literatuře.This diploma thesis deals with submergence of low rectangular sharp-edged broad-crested weirs. From measurement of water levels in front of and behind of weir at different discharges and different weir heights, were determined values of submergence coefficient depending on relative height of submergence. From these values were determined the equation of submergence coefficient. Measured values were compared which results measurements, which are given in professional literature.