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We develop a new theoretical framework for exploring a mobile impurity interacting strongly with a highly correlated bath of bosons in the quantum critical regime of a Mott insulator (MI) to superfluid (SF) quantum phase transition. Our…

In this paper we study an impurity in Bose-Einstein-Condensate system at $T=0K$ and suppose the contact forms for boson-boson and boson-impurity interactions. Using Bogoliubov theory and a further approximation corresponding to only think…

Statistical Mechanics · Physics 2011-05-19 Beibing Huang , Shaolong Wan

We investigate the polaronic properties of a single impurity immersed in a weakly interacting bosonic environment confined within a one-dimensional double-well potential using an exact diagonalization approach. We find that an increase of…

Quantum Gases · Physics 2022-03-14 Jie Chen , Simeon I. Mistakidis , Peter Schmelcher

We investigate transport dynamics of a single low-energy ionic impurity in a Bose-Einstein condensate. The impurity is implanted into the condensate starting from a single Rydberg excitation, which is ionized by a sequence of fast electric…

We present an experimental system to study the Bose polaron by immersion of single, well-controllable neutral Cs impurities into a Rb Bose-Einstein condensate (BEC). We show that, by proper optical traps, independent control over impurity…

A toolbox for the quantum simulation of polarons in ultracold atoms is presented. Motivated by the impressive experimental advances in the area of ultracold atomic mixtures, we theoretically study the problem of ultracold atomic impurities…

Quantum Physics · Physics 2017-05-25 E. Compagno , G. De Chiara , D. G. Angelakis , G. M. Palma

The supersolid phase of a dipolar Bose-Einstein condensate has an intriguing excitation spectrum displaying a band structure. Here, the dressing of an impurity in a one-dimensional dipolar supersolid with the excitations of the supersolid…

Quantum Gases · Physics 2025-03-03 Laurent H. A. Simons , Michiel Wouters , Jacques Tempere

We study the properties of a single impurity in a dilute Bose gas, a Bose polaron, using the functional renormalization group. We use an ansatz for the effective action motivated by a derivative expansion, and we compute the energies of the…

Quantum Gases · Physics 2021-08-20 Felipe Isaule , Ivan Morera , Pietro Massignan , Bruno Juliá-Díaz

The variational Feynman formalism for the polaron, extended to an all-coupling treatment of bipolarons, is applied for two impurity atoms in a Bose-Einstein condensate. This shows that if the polaronic coupling strength is large enough the…

Quantum Gases · Physics 2014-03-27 W. Casteels , J. Tempere , J. T. Devreese

We develop a renormalization group approach for analyzing Fr\"ohlich polarons and apply it to a problem of impurity atoms immersed in a Bose-Einstein condensate of ultra cold atoms. Polaron energies obtained by our method are in excellent…

Quantum Gases · Physics 2016-05-03 F. Grusdt , Y. E. Shchadilova , A. N. Rubtsov , E. Demler

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

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We consider the quantum mechanical many-body problem of a single impurity particle immersed in a weakly interacting Bose gas. The impurity interacts with the bosons via a two-body potential. We study the Hamiltonian of this system in the…

Mathematical Physics · Physics 2021-03-02 Krzysztof Myśliwy , Robert Seiringer

We investigate a temporal evolution of an impurity atom in a one-dimensional trapped Bose gas following a sudden change of the boson-impurity interaction strength. Our focus is on the effects of inhomogeneity due to the harmonic…

Quantum Gases · Physics 2019-07-18 S. I. Mistakidis , A. G. Volosniev , N. T. Zinner , P. Schmelcher

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

Statistical Mechanics · Physics 2007-05-23 H. T. C. Stoof

We study the out-of-equilibrium dynamics of an attractively interacting impurity suddenly immersed with a nonzero initial velocity into a system of one-dimensional weakly interacting homogeneous bosons. We uncover and characterize different…

Quantum Gases · Physics 2026-02-10 Saptarshi Majumdar , Aleksandra Petković

The long-range Froehlich electron-phonon interaction has been identified as the most essential for pairing in high-temperature superconductors owing to poor screening, as is now confirmed by optical, isotope substitution, recent…

Superconductivity · Physics 2009-11-11 A. S. Alexandrov

We consider a single impurity atom confined to an optical lattice and immersed in a homogeneous Bose-Einstein condensate (BEC). Interaction of the impurity with the phonon modes of the BEC leads to the formation of a stable quasiparticle,…

Quantum Gases · Physics 2014-12-10 Fabian Grusdt , Aditya Shashi , Dmitry Abanin , Eugene Demler

The notion of a polaron, originally introduced in the context of electrons in ionic lattices, helps us to understand how a quantum impurity behaves when being immersed in and interacting with a many-body background. We discuss the impact of…

Quantum Gases · Physics 2021-04-16 Hiroyuki Tajima , Junichi Takahashi , Simeon I. Mistakidis , Eiji Nakano , Kei Iida

We develop a theory for light propagating in an atomic Bose-Einstein condensate in the presence of strong interactions. The resulting many-body correlations are shown to have profound effects on the optical properties of this interacting…

Quantum Gases · Physics 2020-05-06 A. Camacho-Guardian , K. Knakkergaard Nielsen , T. Pohl , G. M. Bruun
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