54 citations · 207 across the 20 of their papers we have counts for
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Standard basis operator method for ground-state and temperature properties of single and two-component Bose-Hubbard model
Oliwier Urbański, Tomasz P. Polak
We formulate an improved standard basis operator (SBO) method for the single and two-component Bose-Hubbard model in three dimensions. In the first case, nonzero temperature predic…
Reentrant phase behavior in systems with density-induced tunneling
A. Krzywicka T. P. Polak
Open many body quantum systems play a paramount role in various branches of physics, such as quantum information, nonlinear optics or condensed matter. The dissipative character of…
Coexistence of two kinds of superfluidity in Bose-Hubbard model with density-induced tunneling at finite temperatures
A. Krzywicka, T. P. Polak
With use of the U(1) quantum rotor method in the path integral effective action formulation, we have confirmed the mathematical similarity of the phase Hamiltonian and of the exten…
Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
A. S. Sajna, T. P. Polak
Gauge potentials with different configurations have been recently realized in the optical lattice experiments. It is remarkable that one of the simplest gauge can generate particle…
Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
A. S. Sajna, T. P. Polak, R. Micnas
Topological phase engineering of neutral bosons loaded in an optical lattice opens a new window for manipulating of transport phenomena in such systems. Exploiting the Bose Hubbard…
Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
T. P. Polak, T. A. Zaleski
We calculate the time-of-flight patterns of strongly interacting bosons confined in two-dimensional square lattice in the presence of an artificial magnetic field using quantum rot…