78 citations · 803 across the 50 of their papers we have counts for
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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…
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…
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…
Dissipative dynamics of a heavy impurity in a Bose gas in the strong coupling regime
Aleksandra Petković, Zoran Ristivojevic
We study the motion of a heavy impurity in a one-dimensional Bose gas. The impurity experiences the friction force due to scattering off thermally excited quasiparticles. We presen…
Method of difference-differential equations for some Bethe ansatz solvable models
Zoran Ristivojevic
In studies of one-dimensional Bethe ansatz solvable models, a Fredholm integral equation of the second kind with a difference kernel on a finite interval often appears. This equati…
Dispersion relation of a polaron in the Yang-Gaudin Bose gas
Zoran Ristivojevic
We study a one-dimensional Bose gas with two internal states described by the Yang-Gaudin model and calculate analytically the dispersion relation of a polaron quasiparticle, which…
Exact result for the polaron mass in a one-dimensional Bose gas
Zoran Ristivojevic
We study the polaron quasiparticle in a one-dimensional Bose gas. In the integrable case described by the Yang-Gaudin model, we derive an exact result for the polaron mass in the t…
Mediated interaction between polarons in a one-dimensional Bose gas
Aleksandra Petkovic, Zoran Ristivojevic
We study a weakly-interacting one-dimensional Bose gas with two impurities coupled locally to the boson density. We derive analytical results for the induced interaction between th…
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…
Damping of elementary excitations in one-dimensional dipolar Bose gases
Hadrien Kurkjian, Zoran Ristivojevic
In the presence of dipolar interactions the excitation spectrum of a Bose gas can acquire a local minimum. The corresponding quasiparticles are known as rotons. They are gaped and…
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…
Conjectures about the ground-state energy of the Lieb-Liniger model at weak repulsion
Zoran Ristivojevic
We develop an alternative description to solve the problem of the ground-state energy of the Lieb-Liniger model that describes one-dimensional bosons with contact repulsion. For th…
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…
Spectrum of elementary excitations in Galilean-invariant integrable models
Aleksandra Petković, Zoran Ristivojevic
The spectrum of elementary excitations in one-dimensional quantum liquids is generically linear at low momenta. It is characterized by the sound velocity that can be related to the…
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…
Dynamics of a Mobile Impurity in a One-Dimensional Bose Liquid
Aleksandra Petković, Zoran Ristivojevic
We develop a microscopic theory of a quantum impurity propagating in a one-dimensional Bose liquid. As a result of scattering off thermally excited quasiparticles, the impurity exp…
Decay of Bogoliubov excitations in one-dimensional Bose gases
Zoran Ristivojevic, K. A. Matveev
We study the decay of Bogoliubov quasiparticles in one-dimensional Bose gases. Starting from the hydrodynamic Hamiltonian, we develop a microscopic theory that enables one to syste…
Superfluid/Bose-glass transition in one dimension
Zoran Ristivojevic, Aleksandra Petkovic, Pierre Le Doussal +1
We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the t…
Excitation spectrum of the Lieb-Liniger model
Zoran Ristivojevic
We study the integrable model of one-dimensional bosons with contact repulsion. In the limit of weak interaction, we use the microscopic hydrodynamic theory to obtain the excitatio…
Decay of Bogoliubov quasiparticles in a nonideal one-dimensional Bose gas
Zoran Ristivojevic, K. A. Matveev
We study the relaxation of excitations in a system of one-dimensional weakly interacting bosons. Due to residual weak interactions, Bogoliubov quasiparticles in this system have fi…
Multigrid Algorithms for Tensor Network States
M. Dolfi, B. Bauer, M. Troyer +1
The widely used density matrix renormalization group (DRMG) method often fails to converge in systems with multiple length scales, such as lattice discretizations of continuum mode…