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We examine the dynamics of a bright solitary wave in the presence of a repulsive or attractive localized ``impurity'' in Bose-Einstein condensates (BECs). We study the generation and stability of a pair of steady states in the vicinity of…

Other Condensed Matter · Physics 2010-12-10 G. Herring , P. G. Kevrekidis , R. Carretero-Gonzalez , B. A. Malomed , D. J. Frantzeskakis , A. R. Bishop

We study the motion of an impurity under the action of a constant force through a one-dimensional system of weakly-interacting bosons. The interplay of the impurity-boson interaction, the boson-boson interaction, and the driving force gives…

Quantum Gases · Physics 2026-04-09 Saptarshi Majumdar , Aleksandra Petković

We investigate the properties of a distinguishable single excited state impurity pinned in the center of a trapped Bose-Einstein condensate (BEC) in a one-dimensional harmonic trapping potential by changing the bare mass of the impurity and…

Quantum Physics · Physics 2018-02-07 Javed Akram

This review describes the field of Bose polarons, arising when mobile impurities are immersed into a bosonic quantum gas. The latter can be realized by a Bose-Einstein condensate (BEC) of ultracold atoms, or of exciton polaritons in a…

Quantum Gases · Physics 2024-10-15 F. Grusdt , N. Mostaan , E. Demler , Luis A. Peña Ardila

We investigate the properties a mobile ion immersed in a Bose-Einstein condensate (BEC) using different theoretical approaches. A coherent state variational ansatz predicts that the ion spectral function exhibits several branches in…

Quantum Gases · Physics 2021-06-23 Esben Rohan Christensen , Arturo Camacho-Guardian , Georg M. Bruun

We monitor the correlated quench induced dynamical dressing of a spinor impurity repulsively interacting with a Bose-Einstein condensate. Inspecting the temporal evolution of the structure factor three distinct dynamical regions arise upon…

Quantum Physics · Physics 2019-05-15 S. I. Mistakidis , G. C. Katsimiga , G. M. Koutentakis , Th. Busch , P. Schmelcher

The phenomenon of superfluidity in open Bose-Einstein condensates (BEC) is analysed numerically and analytically. It is found that a superfluid phase is feasible even above the speed of sound, when forces due to inhomogeneous…

Quantum Gases · Physics 2018-01-17 Florian Pinsker

We investigate the behavior of a finite-momentum impurity immersed in a weakly interacting three-dimensional Bose-Einstein condensate (BEC) of ultra-cold atoms, giving a detailed account of the dynamical quantum Cherenkov transition…

Quantum Gases · Physics 2024-12-09 Kushal Seetharam , Yulia Shchadilova , Fabian Grusdt , Mikhail Zvonarev , Eugene Demler

Characterization of the dynamics of an impurity immersed in a quantum medium is vital for fundamental understanding of matter as well as applications in modern day quantum technologies. The case of strong and long-ranged interactions is of…

Quantum Gases · Physics 2026-02-05 Piotr Wysocki , Marek Tylutki , Krzysztof Jachymski

The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated…

Superconductivity · Physics 2008-11-26 M. Grether , M. de Llano , George A. Baker

In the Bogoliubov-Fr\"ohlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid…

Mathematical Physics · Physics 2025-02-04 Benjamin Hinrichs , Jonas Lampart

We discuss properties of a single impurity atom immersed in the spin-$1/2$ dilute Fermi gas with equal populations of two species in the deep Bose-Einstein condensate (BEC) phase. In this limit, when an almost undepleted BEC of the tightly…

Quantum Gases · Physics 2021-11-16 O. Hryhorchak , V. Pastukhov

The motion of single quantum particle through Bose-Einstein condensate (BEC) is considered within perturbation theory with respect to the particle-BEC interaction. The Hamiltonian of BEC is diagonalized by means of Bogoliubov's method. The…

Quantum Physics · Physics 2008-09-10 Alexey Novikov , Mikhail Ovchinnikov

In this paper a Gaussian impurity moving through an equilibrium Bose-Einstein condensate at T = 0 is studied. The problem can be described by a Gross-Pitaevskii equation, which is solved perturbatively. The analysis is done for systems of 2…

Quantum Gases · Physics 2017-08-23 Florian Pinsker

We consider a mobile impurity particle injected into a one-dimensional quantum gas. The time evolution of the system strongly depends on whether the mass of the impurity and the masses of the host particles are equal or not. For equal…

Quantum Gases · Physics 2021-12-15 Evgeni Burovski , Oleksandr Gamayun , Oleg Lychkovskiy

The nonequilibrium dynamics of an impurity immersed with a finite velocity into a one-dimensional system of weakly interacting bosons is studied within the framework of the time-dependent Gross-Pitaevskii equation. We uncover and…

Quantum Gases · Physics 2025-11-27 Saptarshi Majumdar , Aleksandra Petković

This paper is concerned with the long wavelength instabilities (infrared catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the modulational instability in ``cigar-shaped'' (1D) attractive BECs and the transverse…

Soft Condensed Matter · Physics 2009-11-10 P. G. Kevrekidis , G. Theocharis , D. J. Frantzeskakis , A. Trombettoni

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

We show that strongly correlated impurities confined in an optical lattice can form localized, molecule-like dimer states in the presence of a Bose-Einstein condensate (BEC). By systematically studying the effect of the lattice potential on…

Quantum Gases · Physics 2025-07-30 Hoshu Hiyane , Thomás Fogarty , Jose Carlos Pelayo , Thomas Busch

The temperature dependence of a mobile impurity in a dilute Bose gas, the Bose polaron, is investigated for wide a range of impurity-bath interactions. Using a diagrammatic resummation scheme designed to include scattering processes…

Quantum Gases · Physics 2018-02-08 Nils-Eric Guenther , Pietro Massignan , Maciej Lewenstein , Georg M. Bruun