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Mixing two kinds of particles that repel each other usually results in either a homogeneous mixture when the repulsion is weak, or a complete phase separation of the two kinds when their repulsion is too strong. It is shown however that…

Quantum Gases · Physics 2022-02-03 Pascal Naidon

We investigate the formation of magnetic Bose polaron, an impurity atom dressed by spin-wave excitations, in a one-dimensional spinor Bose gas. In terms of an effective potential model the impurity is strongly confined by the host…

Quantum Gases · Physics 2022-09-28 S. I. Mistakidis , G. M. Koutentakis , F. Grusdt , P. Schmelcher , H. R. Sadeghpour

Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed. Then the Bose-Einstein condensate and the Mott insulator of a…

Other Condensed Matter · Physics 2022-06-15 Ch. Moseley , O. Fialko , K. Ziegler

We investigate the problem of $N$ identical bosons that are coupled to an impurity particle with infinite mass. For non-interacting bosons, we show that a dynamical impurity-boson interaction, mediated by a closed-channel dimer, can induce…

Quantum Gases · Physics 2018-12-19 Zhe-Yu Shi , Shuhei M. Yoshida , Meera M. Parish , Jesper Levinsen

We consider a homogeneous mixture of bosons and polarized fermions. We find that long-range and attractive fermion-mediated interactions between bosons have dramatic effects on the properties of the bosons. We construct the phase diagram…

Quantum Gases · Physics 2021-02-10 Dong-Chen Zheng , Lin Wen , Chun-Rong Ye , Renyuan Liao

When a mobile impurity interacts with a surrounding bath of bosons, it forms a polaron. Numerous methods have been developed to calculate how the energy and the effective mass of the polaron are renormalized by the medium for equilibrium…

Quantum Gases · Physics 2018-03-28 Fabian Grusdt , Kushal Seetharam , Yulia Shchadilova , Eugene Demler

We consider two heavy impurities immersed in a Bose-Einstein condensate, and calculate the self-energy using the Wilsonian renormalization. The polaron energy, quasiparticle residue and damping rate are extracted from the self-energy. We…

Quantum Gases · Physics 2025-03-04 Dong-Chen Zheng , Lin Wen , Renyuan Liao

The full momentum dependence of spectrum of a point-like impurity immersed in a dilute one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate, to the finite-momentum Bose polaron, the path-integral…

Quantum Gases · Physics 2019-10-02 Galyna Panochko , Volodymyr Pastukhov

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 consider the dynamics of the Bose polaron system, a dense quantum gas consisting of $N$ bosons evolving in $\mathbb{R}^3$ in the presence of an impurity particle. The system is studied in the mean-field scaling with initially high…

Mathematical Physics · Physics 2026-05-25 Jonas Lampart , Peter Pickl , Siegfried Spruck

We estimate the changes in the condensate ground state energy induced by one or more "sizable" impurities. By "sizable", we mean an impurity whose size is within a few orders of magnitude of the trap size and not necessarily atomic in…

Statistical Mechanics · Physics 2007-05-23 Siu A. Chin , Harald Forbert

We discuss the ground state properties of a one-dimensional bosonic system doped with an impurity (the so-called Bose polaron problem). We introduce a formalism that allows us to calculate analytically the thermodynamic zero-temperature…

Quantum Gases · Physics 2018-01-23 A. G. Volosniev , H. -W. Hammer

The properties of impurity immersed in the dilute $D$-dimensional Bose gas at temperatures close to the second-order phase transition point are considered. Particularly by means of the $1/N$-expansion we calculated the leading-order polaron…

Quantum Gases · Physics 2018-05-09 Volodymyr Pastukhov

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 studied the properties of a single impurity atom immersed in a dilute Bose condensate at low temperatures. In particular, we perturbatively obtained the momentum dependence of the impurity spectrum and damping. By means of the…

Statistical Mechanics · Physics 2017-03-31 G. Panochko , V. Pastukhov , I. Vakarchuk

We consider impurity atoms embedded in a two-component Bose-Einstein condensate in a quasi-one dimensional regime. We study the effects of repulsive coupling between the impurities and Bose species on the equilibrium of the system for both…

Quantum Gases · Physics 2020-08-26 Abdelaali Boudjemaa , Nadia Guebli , Mohammed Sekmane , Sofyan Khlifa-Karfa

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

Mathematical Physics · Physics 2025-12-12 Daniele Ferretti , Kalle Koskinen

Using a species-selective dipole potential, we create initially localized impurities and investigate their interactions with a majority species of bosonic atoms in a one-dimensional configuration during expansion. We find an…

Quantum Gases · Physics 2012-02-22 J. Catani , G. Lamporesi , D. Naik , M. Gring , M. Inguscio , F. Minardi , A. Kantian , T. Giamarchi

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…

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject. The…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko