54 citations · 207 across the 20 of their papers we have counts for
20 papers
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…
Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk
Andrzej Grudka, Marcin Karczewski, Paweł Kurzyński +3
This paper investigates Rabi transport and finite-size effects in one-dimensional discrete-time topological quantum walks. We demonstrate the emergence of localized states at bound…
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…
Complementarity in quantum walks
Andrzej Grudka, Pawel Kurzynski, Tomasz P. Polak +3
We study discrete-time quantum walks on -cycles with a position and coin-dependent phase-shift. Such a model simulates a dynamics of a quantum particle moving on a ring with an…
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…
Attractors and asymptotic dynamics of open discrete-time quantum walks on cycles
Adam S. Sajna, Tomasz P. Polak, Antoni Wojcik +1
Open quantum walks often lead to a classical asymptotic behavior. Here, we look for a simple open quantum walk whose asymptotic behavior can be non-classical. We consider a discret…