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Q: Fachverband Quantenoptik und Photonik
Q 17: Quantum gases (Bosons) III
Q 17.4: Vortrag
Dienstag, 10. März 2020, 14:45–15:00, e214
Statistical Transmutation in One Dimension — •Martin Bonkhoff1, Kevin Jägering1, Nicholas Sedlmayr2, Sebastian Eggert1, and Axel Pelster1 — 1Physics Department and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany — 2Institute of Physics, M. Curie-Sklodowska University, Lublin, Poland
We compare two different concepts of fractional exchange statistics in one dimension, which have independently been discussed in the literature [1,2]. In the continuum limit both concepts are described by variants of the Lieb-Liniger model, for which we compare their experimental signatures. For instance, we analyze how the Friedel oscillations in the density change with the statistical parameter. The corresponding discretized versions of both concepts are given by the Bose-Hubbard model, where the on-site interaction strength plays the role of the statistical parameter, and by free bosons with a density-dependent Peierl’s phase, respectively. Note that such a density dependent Peierl’s phase has recently been implemented in optical experiments [3,4]. We study the lattice realizations of both concepts numerically with DMRG calculations and analytically with the bosonization method as well as with the Bogoliubov approximation.
[1] T. Keilmann et al., Nat. Commun. 2, 361 (2011).
[2] T. Posske et al., Phys. Rev. B 96, 195422 (2017).
[3] F. Götz et al., Nat. Phys. 15, 1161 (2019).
[4] C. Schweizer et al., Nat. Phys. 15, 1168 (2019).