78 citations · 803 across the 50 of their papers we have counts for
50 papers
The Lieb-Liniger model
Zoran Ristivojevic
The Lieb-Liniger model describes one-dimensional bosons with contact interactions. This many-body system admits an exact solution in terms of the Bethe ansatz. Some of the exact an…
The exchange coupling of a Wigner dimer
Daniele Lagasco, Zoran Ristivojevic
We study the exchange coupling in small Wigner crystals confined to one-dimensional space. In particular we concentrate on the simplest nontrivial case of two electrons in a box po…
Bethe-ansatz study of the Bose-Fermi mixture
Soham Chandak, Aleksandra Petković, Zoran Ristivojevic
We consider a one-dimensional mixture of bosons and spinless fermions with contact interactions. In this system, the elementary excitations at low energies are described by four li…
Exactly solvable models for universal operator growth
Oleksandr Gamayun, Murtaza Ali Mir, Oleg Lychkovskiy +1
Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos b…
Local Properties of the Rapidity Distribution in the Lieb-Liniger Model
Miłosz Panfil, Zoran Ristivojevic
We study the rapidity distribution in the Lieb-Liniger model and derive exact relations for its derivatives at the Fermi level. The latter enables us to treat analytically the free…
The density of a one-dimensional Bose gas far from an impurity
Aleksandra Petkovic, Zoran Ristivojevic
We consider an impurity in a one-dimensional weakly-interacting Bose gas and analytically calculate the density profile of the Bose gas. Within the mean-field approximation, by inc…