[institut] SCL Seminar: Axel Pelster, Monday 28 September 2026, 14:00

[Marija Mitrovic Dankulov]

Dear colleagues,

You are cordially invited to the SCL seminar of the Center for the Study 
of Complex Systems, which will be held on Monday, 26 September 2026 at 
14:00 in the "Zvonko Marić" lecture hall of the Institute of Physics 
Belgrade. The talk entitled

Bogoliubov theory of 1D anyons in a lattice

will be given by Axel Pelster (Physics Department and Research Center 
OPTIMAS, RPTU Kaiserslautern-Landau, Germany). The abstract of the talk:

Anyons of the Hubbard type in 1D interpolate between bosonic and 
fermionic particle statistics. Their exclusion behavior is encoded in 
that of their parent particles, including statistical interactions 
dependent on the connectivity and form of the underlying Hamiltonian. 
Their exchange phase emerge via non-gaugable hopping processes that 
characteristically break spatio-temporal symmetries, away from their 
canonical limits. Both effects originate from density-dependent Peierls 
phases that are essentially non-perturbative. This results in a rich 
phenomenology but also in experimental challenges [1,2] and the 
necessity of a careful theoretical treatment [3,4].

To this end, we develop a generalized Bogoliubov theory for the bosonic 
version of the anyon-Hubbard model, maintaining periodicity in the 
statistical parameter and incorporating a condensation at finite 
momenta. We investigate the stability of the condensate and find a 
mean-field manifestation of the Pauli principle while transmuting from 
bosons to pseudo-fermions. We regularize characteristic divergences in 
the thermodynamic limit by the maximal momentum resolution of a finite 
periodic lattice. We determine the condensate depletion as well as its
momentum self-consistently, and with this investigate excitations above 
ground-state as well as their universal parameters. We find a good 
agreement with Luttinger theory at weak coupling.


References:

[1] J. Kwan, et al., Realization of one-dimensional anyons with 
arbitrary
statistical phase, Science 386, 1055 (2024).
[2] S. Dhar, et al., Observing anyonization of bosons in a quantum gas, 
Nature 642, 53 (2025).
[3] M. Bonkhoff, et al., Bosonic continuum theory of one-dimensional 
lattice anyons, Phys. Rev. Lett. 126, 163201 (2021).
[4] M. Bonkhoff, et al., Anyonic phase transitions in the 1D extended 
Hubbard model with fractional statistics, Phys. Rev. Lett. 135, 036601 
(2025).


Best regards,
Marija Mitrović Dankulov

-- 
Marija Mitrovic Dankulov
E-mail: mitrovic at ipb.ac.rs

Scientific Computing Laboratory
Institute of Physics Belgrade
Pregrevica 118, 11080 Belgrade, Serbia