@article{Grudka2026,
title = {Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk},
author = {Andrzej Grudka and Marcin Karczewski and Paweł Kurzyński and Tomasz P Polak and Jan Wójcik and Antoni Wójcik},
doi = {10.1088/1367-2630/ae45c6},
year = {2026},
date = {2026-02-26},
journal = {New Journal of Physics},
volume = {28},
number = {2},
pages = {024507},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Krzywicka2024,
title = {Reentrant phase behavior in systems with density-induced tunneling},
author = {Agata Krzywicka and Tomasz P Polak},
doi = {10.1038/s41598-024-60955-1},
year = {2024},
date = {2024-05-06},
journal = {Scientific Reports},
volume = {14},
pages = {10364 },
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{grudka23-2,
title = {Complementarity in quantum walks},
author = {Andrzej Grudka and Paweł Kurzyński and Tomasz P Polak and Adam S Sajna and Jan Wójcik and Antoni Wójcik},
doi = {10.1088/1751-8121/acdcd0},
year = {2023},
date = {2023-06-19},
journal = {Journal of Physics A},
volume = {56},
pages = {275303},
abstract = {The eigenbases of two quantum observables, {|ai⟩}Di=1 and {|bj⟩}Dj=1, form mutually unbiased bases (MUB) if |⟨ai |bj⟩| = 1/
√D for all i and j. In realistic situations MUB are hard to obtain and one looks for approximate MUB (AMUB), in which case the corresponding eigenbases obey |⟨ai |bj⟩| ⩽ c/√D, where c is some positive constant independent of D. In majority of cases observables corresponding to MUB and AMUB do not have clear physical interpretation. Here we study discrete-time quantum walks (QWs) on d-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 artificial gauge field. In our case the amplitude of the phase-shift is governed by a single discrete parameter q. We solve the model analytically and observe that for prime d the eigenvectors of two QW evolution operators form AMUB. Namely, if d is prime the corresponding eigenvectors of the evolution operators, that act in the D-dimensional Hilbert space (D = 2d), obey |⟨vq|v ′q ′ ⟩| ⩽√2/√D for q ̸= q ′ and for all |vq⟩ and |v ′q ′ ⟩. Finally, we show that the analogous AMUB relation still holds in the continuous version of this model, which corresponds to a one-dimensional Dirac particle.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Krzywicka2023,
title = { Pairing Mechanism at Finite Temperatures in Bosonic Systems },
author = {Agata Krzywicka and Tomasz P Polak},
doi = {10.12693/APhysPolA.143.157},
year = {2023},
date = {2023-02-15},
journal = {Acta Physica Polonica A},
volume = {143},
pages = {157},
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Krzywicka2022,
title = {Coexistence of two kinds of superfluidity at finite temperatures in optical lattices},
author = {Agata Krzywicka and Tomasz P Polak},
doi = {10.1016/j.aop.2022.168973},
year = {2022},
date = {2022-06-20},
journal = {Annals of Physics},
volume = {443},
pages = {168973 },
keywords = {},
pubstate = {published},
tppubtype = {article}
}

@article{Krzywicka2022b,
title = {Entropy of pair condensed bosons at finite temperatures in optical lattices with bond-charge interaction},
author = {Agata Krzywicka and Tomasz P Polak},
doi = {10.1016/j.jmmm.2021.168589},
year = {2022},
date = {2022-02-01},
journal = {Journal of Magnetism and Magnetic Materials},
volume = {542},
pages = {168589 },
keywords = {},
pubstate = {published},
tppubtype = {article}
}