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The problem of an impurity particle moving through a bosonic medium plays a fundamental role in physics. However, the canonical scenario of a mobile impurity immersed in a Bose-Einstein condensate (BEC) has not yet been realized. Here, we…

A model for classical impurities moving in Bose-Einstein Condensate (BEC) is proposed in the framework of quantum field theory and is solved within the Bogoliubov approximation at zero temperature. Several formulae are obtained for physical…

Statistical Mechanics · Physics 2007-05-23 Jun Suzuki

We spectroscopically study mobile impurities immersed in a homogeneous bosonic bath (a box-trapped Bose gas), varying the bath temperature and the strength of impurity-bath interactions. We compare our results to those for a quasipure…

The mobile impurity in a Bose-Einstein condensate (BEC) is a paradigmatic many-body problem. For weak interaction between the impurity and the BEC, the impurity deforms the BEC only slightly and it is well described within the Fr\"ohlich…

Quantum Gases · Physics 2022-09-14 Richard Schmidt , Tilman Enss

We investigate the influence of a Bose-Einstein condensate (BEC) on the properties of immersed impurity atoms, which are trapped in an optical lattice. Assuming a weak coupling of the impurity atoms to the BEC, we derive a quantum master…

Quantum Physics · Physics 2007-11-22 Alexander Klein , Martin Bruderer , Stephen R. Clark , Dieter Jaksch

We investigate the properties of a neutral impurity atom coupled with the Tkachenko modes of a two-dimensional vortex lattice Bose-Einstein condensate. In contrast with polarons in homogeneous condensates, the marginal impurity-boson…

Quantum Gases · Physics 2015-01-16 M. A. Caracanhas , R. G. Pereira

It is shown that Bose-Einstein condensation occurs for an ideal gas in two spatial dimensions in the presence of one impurity which is described quantum mechanically in terms of a point-like vortex and a contact interaction. This model is…

Statistical Mechanics · Physics 2009-10-31 Paola Giacconi , Fabio Maltoni , Roberto Soldati

We study the properties of Bose-Einstein condensate (BEC)-impurity mixtures at finite temperature employing the Balian-V\'en\'eroni (BV) variational principle. The method leads to a set of coupled nonlinear equations of motion for the…

Quantum Gases · Physics 2015-06-18 Abdelâali Boudjemâa

Quantum dynamics of impurities in a bath of bosons is a long-standing problem of solid-state, plasma, and atomic physics. Recent experimental and theoretical investigations with ultracold atoms focused on this problem, studying atomic…

Quantum Gases · Physics 2018-04-17 F. Lingua , L. Lepori , F. Minardi , V. Penna , L. Salasnich

By means of linear stability analysis (LSA) and direct numerical simulations of the coupled Gross-Pitaevskii(GP)equations, we address the impurity induced modulational instability (MI) and the associated nonlinear dynamics in Bose-Einstein…

Quantum Gases · Physics 2023-01-30 Ishfaq Ahmad Bhat , Bishwajyoti Dey

We investigate the zero-temperature properties of an impurity particle interacting with a Bose-Einstein condensate (BEC), using a variational wavefunction that includes up to two Bogoliubov excitations of the BEC. This allows one to capture…

Quantum Gases · Physics 2015-10-21 Jesper Levinsen , Meera M. Parish , Georg M. Bruun

We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we show the validity of the Bogoliubov-Fr\"ohlich Hamiltonian…

Quantum Gases · Physics 2025-11-24 Jonas Lampart , Arnaud Triay

We study a modified three-dimensional Gross-Pitaevski equation that describes a static impurity in a dipolar Bose-Einstein condensate (BEC). Our focus is on the interplay between the shape of the impurity and the anisotropy of the medium…

Quantum Gases · Physics 2024-11-28 Neelam Shukla , Artem G. Volosniev , Jeremy R. Armstrong

We study the quantum dynamics of the two impurities in a trapped quasi-one-dimensional Bose-Einstein condensate (BEC). We explore the effect of impurity-BEC and impurity-impurity interaction strengths on the dynamics of impurities inside…

Quantum Gases · Physics 2022-11-02 Javed Akram

We consider a mobile impurity immersed in a Bose gas at finite temperature. Using perturbation theory valid for weak coupling between the impurity and the bosons, we derive analytical results for the energy and damping of the impurity for…

Motivated by recent experiments, we investigate a single $^{133}\text{Cs}$ impurity in the center of a trapped $^{87}\text{Rb}$ Bose-Einstein condensate. Within a zero-temperature mean-field description we provide a one-dimensional physical…

Quantum Gases · Physics 2016-03-15 Javed Akram , Axel Pelster

We unravel the nonequilibrium correlated quantum quench dynamics of an impurity traveling through a harmonically confined Bose-Einstein condensate in one-dimension. For weak repulsive interspecies interactions the impurity oscillates within…

Quantum Physics · Physics 2019-10-01 S. I. Mistakidis , F. Grusdt , G. M. Koutentakis , P. Schmelcher

We develop a systematic perturbation theory for the quasiparticle properties of a single impurity immersed in a Bose-Einstein condensate. Analytical results are derived for the impurity energy, the effective mass, and residue to third order…

Quantum Gases · Physics 2015-10-20 Rasmus Søgaard Christensen , Jesper Levinsen , Georg M. Bruun

We show how exact diagonalization of small clusters can be used as a fast and reliable impurity solver by determining the phase diagram and physical properties of the bosonic single-impurity Anderson model. This is specially important for…

Quantum Gases · Physics 2014-05-14 J. H. Warnes , E. Miranda

We study the interaction-induced localization -- the so-called self-trapping -- of a neutral impurity atom immersed in a homogeneous Bose-Einstein condensate (BEC). Based on a Hartree description of the BEC we show that -- unlike repulsive…

Quantum Physics · Physics 2008-05-14 M. Bruderer , W. Bao , D. Jaksch
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