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Correlations and Coherence at Different Scales (CCDS25)

Sep 7 – 12, 2025
"Diament" Hotel
Europe/Warsaw timezone

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Hubbardology in k-space: Exact statistics & question of particles indistinguishability

Sep 10, 2025, 12:10 PM
40m
Chair: Karol Wysokiński

Chair: Karol Wysokiński
Invited talk

Speaker

Józef Spałek (Jagiellonian University, Institute of Theoretical Physics)

Description

We take literally the Hubbard model with the identical form of interaction, as in the original model, but the Hubbard parameter U describes the repulsive interaction in the k-space. This form allows in a simple manner to analyze the properties of the model in an exact manner for arbitrary value of U. Explicitly, we analyze the situation with
$U \to \infty$. We consider this model in the situation with spin-dependent effective masses of such quasiparticles and discuss in detail the evolution of indistinguishable system of quantum particles into their distinguishable correspondence and back. At the end, a possibility of observing such a transmutation of particle statistics is stressed.

Project partially supported by NCN Grant Nos. UMO–2021/41/B/ST3/04070 and UMO–2023/49/B/ST3/03545.

Primary author

Józef Spałek (Jagiellonian University, Institute of Theoretical Physics)

Co-authors

Dr Piotr Kuterba (Jagiellonian University, Institute of Theoretical Physics) Dr Danuta Goc-Jagło (Jagiellonian University, Institute of Theoretical Physics) Dr Maciej Fidrysiak (Jagiellonian University, Institute of Theoretical Physics) Mr Mateusz Wójcik (AGH University of Science and Technology)

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