A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Exact Spectral Function of a Tonks-Girardeau Gas in a Lattice




TekijätSettino J, Lo Gullo Nicolino, Plastina F, Minguzzi A

KustantajaAMER PHYSICAL SOC

Julkaisuvuosi2021

JournalPhysical Review Letters

Tietokannassa oleva lehden nimiPHYSICAL REVIEW LETTERS

Lehden akronyymiPHYS REV LETT

Artikkelin numeroARTN 065301

Vuosikerta126

Numero6

Sivujen määrä6

ISSN0031-9007

eISSN1079-7114

DOIhttps://doi.org/10.1103/PhysRevLett.126.065301

Verkko-osoitehttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.126.065301

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/53433900


Tiivistelmä
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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