5 papers
Bethe-ansatz study of the Bose-Fermi mixture
Soham Chandak, Aleksandra PetkoviÄ, 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…
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…
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
MiÅosz 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…