A1 Refereed original research article in a scientific journal
Exact Spectral Function of a Tonks-Girardeau Gas in a Lattice
Authors: Settino J, Lo Gullo Nicolino, Plastina F, Minguzzi A
Publisher: AMER PHYSICAL SOC
Publication year: 2021
Journal: Physical Review Letters
Journal name in source: PHYSICAL REVIEW LETTERS
Journal acronym: PHYS REV LETT
Article number: ARTN 065301
Volume: 126
Issue: 6
Number of pages: 6
ISSN: 0031-9007
eISSN: 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.126.065301
Web address : https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.126.065301
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/53433900
The single-particle spectral function of a strongly correlated system is an essential ingredient to describe its dynamics and transport properties. We develop a method to evaluate exactly the spectral function for a gas of one-dimensional bosons with infinitely strong repulsions valid for any type of external confinement. Focusing on the case of a lattice confinement, we find that the spectral function displays three main singularity lines. One of them is due uniquely to lattice effects, while the two others correspond to the Lieb-I and Lieb-II modes occurring in a uniform fluid. Differently from the dynamical structure factor, in the spectral function the Lieb-II mode shows a divergence, thus providing a route to probe such mode in experiments with ultracold atoms.
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