36 citations · 151 across the 10 of their papers we have counts for
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Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity
Aleksandra Petkovic, Benjamin Reichert, Zoran Ristivojevic
We study the effect of the boundary on a system of weakly interacting bosons in one dimension. It strongly influences the boson density which is completely suppressed at the bounda…
Exact Results for the Boundary Energy of One-Dimensional Bosons
Benjamin Reichert, Grigori E. Astrakharchik, Aleksandra Petkovic +1
We study bosons in a one-dimensional hard-wall box potential. In the case of contact interaction, the system is exactly solvable by the Bethe ansatz, as first shown by Gaudin in 19…
Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gas
Benjamin Reichert, Aleksandra Petkovic, Zoran Ristivojevic
We consider an impurity in a semi-infinite one-dimensional system of weakly-interacting bosons. We calculate the interaction potential for the impurity due to the end of the system…
Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
Benjamin Reichert, Aleksandra Petkovic, Zoran Ristivojevic
We study the fluctuation-induced interaction between two impurities in a weakly-interacting one-dimensional Bose gas using the field theoretical approach. At separations between im…
The Casimir-like effect in a one-dimensional Bose gas
Benjamin Reichert, Zoran Ristivojevic, Aleksandra Petkovic
The electromagnetic Casimir effect manifests as the interaction between uncharged conducting objects that are placed in a vacuum. More generally, the Casimir-like effect denotes an…
Quasiparticle decay in a one-dimensional Bose-Fermi mixture
Benjamin Reichert, Aleksandra Petkovic, Zoran Ristivojevic
In a one-dimensional weakly interacting Bose-Fermi mixture one branch of elementary excitations is well described by the Bogoliubov spectrum. Here we use the microscopic theory to…